#schrodingerequation — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #schrodingerequation, aggregated by home.social.
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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 #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 #Science #AU #Australia #classicalphysics #double-slitexperiment #hydrogenatom #leastaction #MIT #NewDiscoveries #quantumcomputing #QuantumMechanics #QuantumPhysics #quantumtunneling #research #Schrödingerequation #theoreticalphysics
https://www.newsbeep.com/au/627602/ -
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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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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#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