#schrodingerequation — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #schrodingerequation, aggregated by home.social.
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A Pendulum for the Multiverse: David Albert, Hugh Everett, and the Worlds We Never Feel
On my grandfather's porch in North Loup, Nebraska, the ground kept its promises. Summer evenings the floorboards held the day's heat, the corn stood in rows that ran clear to the horizon, and nothing in all that flat immensity so much as trembled. When a teacher first told me the Earth was spinning at close to a thousand miles an hour while racing around the Sun at sixty-seven thousand more, I pressed my bare feet against those boards and waited to feel the ride. The stillness came back like a verdict. Whatever the books claimed, my soles reported a stationary world, and a boy trusts his soles. Every child who has run that experiment has rebuilt, in miniature, the strongest objection the seventeenth century could throw at Copernicus. If the Earth turns, why does a dropped stone land at the foot of the tower and never a few feet to the west? Why does the gale of our orbital speed fail to strip the leaves from the trees? The objection deserved respect because it rested on evidence, on the honest testimony of every human body that had ever stood still. It took Galileo's ship, and then Newton's laws, to explain why that testimony, though honest, was worthless. […] -
A Pendulum for the Multiverse: David Albert, Hugh Everett, and the Worlds We Never Feel
On my grandfather's porch in North Loup, Nebraska, the ground kept its promises. Summer evenings the floorboards held the day's heat, the corn stood in rows that ran clear to the horizon, and nothing in all that flat immensity so much as trembled. When a teacher first told me the Earth was spinning at close to a thousand miles an hour while racing around the Sun at sixty-seven thousand more, I pressed my bare feet against those boards and waited to feel the ride. The stillness came back like a verdict. Whatever the books claimed, my soles reported a stationary world, and a boy trusts his soles. Every child who has run that experiment has rebuilt, in miniature, the strongest objection the seventeenth century could throw at Copernicus. If the Earth turns, why does a dropped stone land at the foot of the tower and never a few feet to the west? Why does the gale of our orbital speed fail to strip the leaves from the trees? The objection deserved respect because it rested on evidence, on the honest testimony of every human body that had ever stood still. It took Galileo's ship, and then Newton's laws, to explain why that testimony, though honest, was worthless. […] -
A Pendulum for the Multiverse: David Albert, Hugh Everett, and the Worlds We Never Feel
On my grandfather's porch in North Loup, Nebraska, the ground kept its promises. Summer evenings the floorboards held the day's heat, the corn stood in rows that ran clear to the horizon, and nothing in all that flat immensity so much as trembled. When a teacher first told me the Earth was spinning at close to a thousand miles an hour while racing around the Sun at sixty-seven thousand more, I pressed my bare feet against those boards and waited to feel the ride. The stillness came back like a verdict. Whatever the books claimed, my soles reported a stationary world, and a boy trusts his soles. Every child who has run that experiment has rebuilt, in miniature, the strongest objection the seventeenth century could throw at Copernicus. If the Earth turns, why does a dropped stone land at the foot of the tower and never a few feet to the west? Why does the gale of our orbital speed fail to strip the leaves from the trees? The objection deserved respect because it rested on evidence, on the honest testimony of every human body that had ever stood still. It took Galileo's ship, and then Newton's laws, to explain why that testimony, though honest, was worthless. […] -
The strange connection between falling balls and quantum weirdness
A ball tossed into the air follows a path that classical physics can track with confidence. Shrink that…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #classicalphysics #Double-slitexperiment #hydrogenatom #leastaction #mit #NewDiscoveries #Quantumcomputing #QuantumMechanics #QuantumPhysics #quantumtunneling #Research #Schrödingerequation #Science #TheoreticalPhysics
https://www.newsbeep.com/us/604581/ -
The strange connection between falling balls and quantum weirdness
A ball tossed into the air follows a path that classical physics can track with confidence. Shrink that…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #classicalphysics #Double-slitexperiment #hydrogenatom #leastaction #mit #NewDiscoveries #Quantumcomputing #QuantumMechanics #QuantumPhysics #quantumtunneling #Research #Schrödingerequation #Science #TheoreticalPhysics
https://www.newsbeep.com/us/604581/ -
https://www.europesays.com/ie/452325/ The strange connection between falling balls and quantum weirdness #ClassicalPhysics #DoubleSlitExperiment #Éire #HydrogenAtom #IE #Ireland #LeastAction #MIT #NewDiscoveries #Physics #QuantumComputing #QuantumMechanics #QuantumPhysics #QuantumTunneling #Research #SchrödingerEquation #Science #TheoreticalPhysics
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https://www.europesays.com/uk/916055/ The strange connection between falling balls and quantum weirdness #ClassicalPhysics #DoubleSlitExperiment #HydrogenAtom #LeastAction #MIT #NewDiscoveries #Physics #QuantumComputing #QuantumMechanics #QuantumPhysics #QuantumTunneling #Research #SchrödingerEquation #Science #TheoreticalPhysics #UK #UnitedKingdom
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The strange connection between falling balls and quantum weirdness
A ball tossed into the air follows a path that classical physics can track with confidence. Shrink that…
#NewsBeep #News #Science #AU #Australia #classicalphysics #double-slitexperiment #hydrogenatom #leastaction #MIT #NewDiscoveries #quantumcomputing #QuantumMechanics #QuantumPhysics #quantumtunneling #research #Schrödingerequation #theoreticalphysics
https://www.newsbeep.com/au/627602/ -
The strange connection between falling balls and quantum weirdness
A ball tossed into the air follows a path that classical physics can track with confidence. Shrink that…
#NewsBeep #News #Science #AU #Australia #classicalphysics #double-slitexperiment #hydrogenatom #leastaction #MIT #NewDiscoveries #quantumcomputing #QuantumMechanics #QuantumPhysics #quantumtunneling #research #Schrödingerequation #theoreticalphysics
https://www.newsbeep.com/au/627602/ -
The Schrödinger equation turns 100
Key Insights One hundred years ago, the physicist Erwin Schrödinger came up with an equation that rewrote the…
#NewsBeep #News #Physics #computationalchemistry #Schrödingerequation #Science #UK #UnitedKingdom
https://www.newsbeep.com/uk/451107/ -
https://www.europesays.com/uk/792704/ The Schrödinger equation turns 100 #ComputationalChemistry #Physics #SchrödingerEquation #Science #UK #UnitedKingdom
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The Schrödinger equation turns 100
Key Insights One hundred years ago, the physicist Erwin Schrödinger came up with an equation that rewrote the…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #computationalchemistry #Schrödingerequation #Science
https://www.newsbeep.com/us/492146/ -
The Schrödinger equation turns 100
Key Insights One hundred years ago, the physicist Erwin Schrödinger came up with an equation that rewrote the…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #computationalchemistry #Schrödingerequation #Science
https://www.newsbeep.com/us/492146/ -
https://www.europesays.com/ie/356715/ The Schrödinger equation turns 100 #ComputationalChemistry #Éire #IE #Ireland #Physics #SchrödingerEquation #Science
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The Schrödinger equation turns 100
Key Insights One hundred years ago, the physicist Erwin Schrödinger came up with an equation that rewrote the…
#NewsBeep #News #Physics #AU #Australia #Computationalchemistry #Schrödingerequation #Science
https://www.newsbeep.com/au/504436/ -
The Schrödinger equation turns 100
Key Insights One hundred years ago, the physicist Erwin Schrödinger came up with an equation that rewrote the…
#NewsBeep #News #Physics #AU #Australia #Computationalchemistry #Schrödingerequation #Science
https://www.newsbeep.com/au/504436/ -
https://www.europesays.com/uk/733474/ The Schrödinger equation just turned 100, and quantum physicists are still grappling with its mysteries #ErwinSchrödinger #physicists #Physics #Quantum #QuantumEntanglement #QuantumObjects #QuantumRevolution #SchrödingerEquation #Science #UK #UnitedKingdom #WaveFunction
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https://www.europesays.com/ie/312265/ The Schrödinger equation just turned 100, and quantum physicists are still grappling with its mysteries #Éire #ErwinSchrödinger #IE #Ireland #physicists #Physics #quantum #QuantumEntanglement #QuantumObjects #QuantumRevolution #SchrödingerEquation #Science #WaveFunction
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Chinese team tackles a century-old puzzle in physics: can we travel back in time?
Chinese researchers have proposed a simple yet powerful theory to explain one o…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #AnnalsofPhysics #AustrianphysicistLudwigBoltzmann #CaiQingyu #China #ChineseAcademyofSciences #DarkMattersnewsletter #HainanUniversity #Newton'slaws #Quantum #Schrödingerequation #Science #SunChangpu #time #time'sarrow
https://www.newsbeep.com/us/369678/ -
Chinese team tackles a century-old puzzle in physics: can we travel back in time?
Chinese researchers have proposed a simple yet powerful theory to explain one o…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Physics #AnnalsofPhysics #AustrianphysicistLudwigBoltzmann #CaiQingyu #China #ChineseAcademyofSciences #DarkMattersnewsletter #HainanUniversity #Newton'slaws #Quantum #Schrödingerequation #Science #SunChangpu #time #time'sarrow
https://www.newsbeep.com/us/369678/ -
https://www.europesays.com/ie/250160/ Chinese team tackles a century-old puzzle in physics: can we travel back in time? #AnnalsOfPhysics #AustrianPhysicistLudwigBoltzmann #CaiQingyu #China #ChineseAcademyOfSciences #DarkMattersNewsletter #Éire #HainanUniversity #IE #Ireland #Newton'sLaws #Physics #quantum #SchrödingerEquation #Science #SunChangpu #time #Time'sArrow
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https://www.europesays.com/uk/653312/ Chinese team tackles a century-old puzzle in physics: can we travel back in time? #AnnalsOfPhysics #AustrianPhysicistLudwigBoltzmann #CaiQingyu #China #ChineseAcademyOfSciences #DarkMattersNewsletter #HainanUniversity #Newton'sLaws #Physics #Quantum #SchrödingerEquation #Science #SunChangpu #time #Time'sArrow #UK #UnitedKingdom
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Classical Fluid Analogies for Schrödinger-Newton Systems
Stock viscosity image: Photo by Fernando Serrano on Pexels.comI thought I’d mention here a paper now on arXiv that I co-wrote with my PhD student Aoibhinn Gallagher. Here is the abstract:
The Schrödinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here we investigate the extent to which the behaviour of this and the more general case of a Schrödinger-Newton system, can be described in terms of classical fluid concepts such as viscosity and pressure. We also explore whether such systems can be described by a pseudo-Reynolds number as for classical viscous fluids. The conclusion we reach is that this is indeed possible, but with important restrictions to ensure physical consistency.
arXiv:2507.08583
It is based on work that his in her now-completed PhD thesis, along with another paper mentioned here. I have been interested for many years in the Schrödinger-Newton system (or, more specifically, the Schrödinger-Poisson system in the case where self-gravitational forces are involved). In its simplest form this involves a wave-mechanical representation, in the form of an effective Schrödinger equation, of potential flow described classically by an Euler equation. More recently we got interested in the extent to which such an approach could be used to model viscous fluids represented by a Navier-Stokes equation rather than an Euler equation. That was largely because the effective Planck constant that arises in this representation has the same dimensions as kinematic viscosity (but there’s more to it than that).
In the paper we explored a limited aspect of this, by looking at situations where there is no vorticity (so still a potential flow) but there is viscosity. There aren’t many examples of fluid flow in which there is viscosity but no vorticity, and most of those that do exist are about one-dimensional flow along channels or pipes with boundary conditions that don’t really apply to astrophysics, but one example we did look at in detail was the dissipiation of longitudinal waves in such a fluid.
One upshot of this work is that one can indeed describe some aspects of quantum-mechnical fluids such as ultra-light scalar matter in terms of classical fluid properties, such as viscosity, but you have to be careful. For more information, read the paper!
#AoibhinnGallagher #NavierStokesEquations #SchrödingerEquation #SchrödingerPoissonSystem #viscosity
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Classical Fluid Analogies for Schrödinger-Newton Systems
Stock viscosity image: Photo by Fernando Serrano on Pexels.comI thought I’d mention here a paper now on arXiv that I co-wrote with my PhD student Aoibhinn Gallagher. Here is the abstract:
The Schrödinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here we investigate the extent to which the behaviour of this and the more general case of a Schrödinger-Newton system, can be described in terms of classical fluid concepts such as viscosity and pressure. We also explore whether such systems can be described by a pseudo-Reynolds number as for classical viscous fluids. The conclusion we reach is that this is indeed possible, but with important restrictions to ensure physical consistency.
arXiv:2507.08583
It is based on work that his in her now-completed PhD thesis, along with another paper mentioned here. I have been interested for many years in the Schrödinger-Newton system (or, more specifically, the Schrödinger-Poisson system in the case where self-gravitational forces are involved). In its simplest form this involves a wave-mechanical representation, in the form of an effective Schrödinger equation, of potential flow described classically by an Euler equation. More recently we got interested in the extent to which such an approach could be used to model viscous fluids represented by a Navier-Stokes equation rather than an Euler equation. That was largely because the effective Planck constant that arises in this representation has the same dimensions as kinematic viscosity (but there’s more to it than that).
In the paper we explored a limited aspect of this, by looking at situations where there is no vorticity (so still a potential flow) but there is viscosity. There aren’t many examples of fluid flow in which there is viscosity but no vorticity, and most of those that do exist are about one-dimensional flow along channels or pipes with boundary conditions that don’t really apply to astrophysics, but one example we did look at in detail was the dissipiation of longitudinal waves in such a fluid.
One upshot of this work is that one can indeed describe some aspects of quantum-mechnical fluids such as ultra-light scalar matter in terms of classical fluid properties, such as viscosity, but you have to be careful. For more information, read the paper!
#AoibhinnGallagher #NavierStokesEquations #SchrödingerEquation #SchrödingerPoissonSystem #viscosity
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In the past few weeks I have been trying to understand the eigenvalue problem (time-independent Schrödinger equation)
–𝑢'' + λ (cos 𝑥 + cos τ𝑥) 𝑢 = 𝐸𝑢
where λ is a parameter, 𝐸 is the eigenvalue (blame the physicists for the notation), τ is the golden ratio and the problem is posed on the infinite line. The motivation comes from quasicrystals.
Some solutions are localized around a minimum of the potential, but the none of the corresponding eigenvalues are isolated.
At higher energies, solutions spread out over the whole line, giving rise to the absolutely continuous spectrum which is a Cantor set.
This is wild, at least for me, but partially supported by my own computations and functional analysis results. But I am not fully confident of the former and struggling to understand the latter, so I am not sure whether this picture is complete or even correct.
The more I look into it, the less I understand ... any pointers are appreciated.
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In the past few weeks I have been trying to understand the eigenvalue problem (time-independent Schrödinger equation)
–𝑢'' + λ (cos 𝑥 + cos τ𝑥) 𝑢 = 𝐸𝑢
where λ is a parameter, 𝐸 is the eigenvalue (blame the physicists for the notation), τ is the golden ratio and the problem is posed on the infinite line. The motivation comes from quasicrystals.
Some solutions are localized around a minimum of the potential, but the none of the corresponding eigenvalues are isolated.
At higher energies, solutions spread out over the whole line, giving rise to the absolutely continuous spectrum which is a Cantor set.
This is wild, at least for me, but partially supported by my own computations and functional analysis results. But I am not fully confident of the former and struggling to understand the latter, so I am not sure whether this picture is complete or even correct.
The more I look into it, the less I understand ... any pointers are appreciated.
-
In the past few weeks I have been trying to understand the eigenvalue problem (time-independent Schrödinger equation)
–𝑢'' + λ (cos 𝑥 + cos τ𝑥) 𝑢 = 𝐸𝑢
where λ is a parameter, 𝐸 is the eigenvalue (blame the physicists for the notation), τ is the golden ratio and the problem is posed on the infinite line. The motivation comes from quasicrystals.
Some solutions are localized around a minimum of the potential, but the none of the corresponding eigenvalues are isolated.
At higher energies, solutions spread out over the whole line, giving rise to the absolutely continuous spectrum which is a Cantor set.
This is wild, at least for me, but partially supported by my own computations and functional analysis results. But I am not fully confident of the former and struggling to understand the latter, so I am not sure whether this picture is complete or even correct.
The more I look into it, the less I understand ... any pointers are appreciated.
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Time-dependent and time-independent Schrödinger equations:
\[i\hbar\dfrac{\partial}{\partial t} \Psi(x,t) = - \dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x,t)}{\partial x^2} + V(x,t)\Psi(x,t)\qquad\text{(time-dependent)}\]
\[-\dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x)}{\partial x^2}+V(x)\Psi(x)=E\Psi(x)\qquad\text{(time-independent)}\]#SchrödingerEquation #Schrödinger #WaveEquation #TimeDependent #TimeIndependent
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Time-dependent and time-independent Schrödinger equations:
\[i\hbar\dfrac{\partial}{\partial t} \Psi(x,t) = - \dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x,t)}{\partial x^2} + V(x,t)\Psi(x,t)\qquad\text{(time-dependent)}\]
\[-\dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x)}{\partial x^2}+V(x)\Psi(x)=E\Psi(x)\qquad\text{(time-independent)}\]#SchrödingerEquation #Schrödinger #WaveEquation #TimeDependent #TimeIndependent
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#GregoryChaitin - Is #Information #Fundamental?
https://www.youtube.com/watch?v=ByJe3abjDZo&ab_channel=CloserToTruth
#Philosophy #Science #PhilosophyOfScience #Metaphysics #Idealism #Matter #Probability #QM #QuantumMechanics #SchrodingerEquation #Numbers #Math #Maths #Mathematics #Computers #Computation #Universe #Theory #CloserToTruth #RobertKuhn
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#GregoryChaitin - Is #Information #Fundamental?
https://www.youtube.com/watch?v=ByJe3abjDZo&ab_channel=CloserToTruth
#Philosophy #Science #PhilosophyOfScience #Metaphysics #Idealism #Matter #Probability #QM #QuantumMechanics #SchrodingerEquation #Numbers #Math #Maths #Mathematics #Computers #Computation #Universe #Theory #CloserToTruth #RobertKuhn
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#GregoryChaitin - Is #Information #Fundamental?
https://www.youtube.com/watch?v=ByJe3abjDZo&ab_channel=CloserToTruth
#Philosophy #Science #PhilosophyOfScience #Metaphysics #Idealism #Matter #Probability #QM #QuantumMechanics #SchrodingerEquation #Numbers #Math #Maths #Mathematics #Computers #Computation #Universe #Theory #CloserToTruth #RobertKuhn
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#GregoryChaitin - Is #Information #Fundamental?
https://www.youtube.com/watch?v=ByJe3abjDZo&ab_channel=CloserToTruth
#Philosophy #Science #PhilosophyOfScience #Metaphysics #Idealism #Matter #Probability #QM #QuantumMechanics #SchrodingerEquation #Numbers #Math #Maths #Mathematics #Computers #Computation #Universe #Theory #CloserToTruth #RobertKuhn
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#GregoryChaitin - Is #Information #Fundamental?
https://www.youtube.com/watch?v=ByJe3abjDZo&ab_channel=CloserToTruth
#Philosophy #Science #PhilosophyOfScience #Metaphysics #Idealism #Matter #Probability #QM #QuantumMechanics #SchrodingerEquation #Numbers #Math #Maths #Mathematics #Computers #Computation #Universe #Theory #CloserToTruth #RobertKuhn
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The True Meaning Of The #Schrödinger #Equation
- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?
https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum
#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability
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The True Meaning Of The #Schrödinger #Equation
- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?
https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum
#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability
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The True Meaning Of The #Schrödinger #Equation
- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?
https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum
#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability
-
The True Meaning Of The #Schrödinger #Equation
- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?
https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum
#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability
-
The True Meaning Of The #Schrödinger #Equation
- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?
https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum
#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability