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From Particle-in-a-Box Thought Experiment to a Complete Quantum Theory?

26 July 2023, Version 19
Working Paper
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

Einstein: God does not play dice and nothing travels faster than the speed of light. Schrödinger: My cat cannot be both dead and alive. Dirac: The existing quantum theory should not be considered to be the final solution. Feynman: How does it work? de Broglie: My matter wave has an imaginary part. Me: Great! This could be the missing piece the others have been looking for.

Keywords

Particle in a box
quantum rotation
rotational quantum numbers
hydrogen atom energy functions
atomic orbitals
quantum harmonic oscillator

Supplementary materials

Title
Description
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SI
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MATLAB codes and movies
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V4 rotation Y10Y11Y1n1.gif
Description
Rotation wavefunction.
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V1 PIAB movie gif
Description
Particle in a box solution.
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V3 ClassicalRotationY10Y11Y1n1
Description
Classical rotation wavefunction.
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Version History

Jul 26, 2023 Version 19

Version Notes

Added Bohr radius calculation and corrected some errors in the last section.

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The content is available under CC BY NC ND 4.0 [opens in a new tab]

DOI

10.26434/chemrxiv-2022-xn4t8-v19
D O I: 10.26434/chemrxiv-2022-xn4t8-v19 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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