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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Deriving the time-dependent Schrodinger m- and p-equations from the Klein-Gordon equation

arXiv
Authors: Paul Kinsler

Year

2013

Paper ID

32800

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

Abstract

I present an alternative and rather direct way to derive the well known Schrödinger equation for a quantum wavefunction, by starting with the Klein Gordon equation and applying a directional factorization scheme. And since if you have a directionally factorizing hammer, everything looks like a factorizable nail, I also derive an alternative wavefunction propagation equation in the momentum-dominated limit. This new Schrödinger p-equation therefore provides a potentially useful complement to the traditional Schrödinger m-equation's mass-dominated limit.

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  • I present an alternative and rather direct way to derive the well known Schrödinger equation for a quantum wavefunction, by starting with the Klein Gordon equation and applying...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.2484 [2] arXiv https://arxiv.org/abs/1309.2484 [3] Publisher https://arxiv.org/abs/1309.2484

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