Introduction to Synchronized Kinematic and Electromagnetic Mechanics

Michaud, André

doi:10.4236/jmp.2023.146051

Cited by 4 publications

(9 citation statements)

References 46 publications

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“…This derivation was originally proposed by de Broglie to calculate the resonance state of the matter wave, 24,25 and consistent with the energy distribution interpretation proposed in this report. When the electron radius is smaller than the Bohr radius, the de Broglie wavelength of the electron is calculated larger than the circumference thus unstable.…”

Section: Example Atomssupporting

confidence: 88%

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

Chen

2023

Preprint

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While instructing an undergraduate physical chemistry course on quantum mechanics, I encountered difficulties in elucidating the concept of the particle-in-a-box thought experiment, initially formulated by Erwin Schrödinger. In particular, the node distribution of the wavefunction. Born's Copenhagen interpretation assigns the modulus of the wavefunction as the probability density distribution of particles. The developers of quantum mechanics, including Schrödinger, de Broglie, and Einstein, have openly expressed reservations about this interpretation. Schrödinger's original conception of the wavefunction is intrinsically linked to the particle's momentum rather than the statistical probabilities of particle locations. Because momentum can be encoded in different forms, it could be useful to create wavefunctions using different encoding equations, which is the major attempt of this manuscript. In addition to quantizing energy levels properly for several example systems, the proposed new equations have yielded a striking and alternative interpretation of Schrödinger's wavefunction that aligns well with classical mechanics. This proposed modification enhanced the simplicity of math and strengthened Schrödinger’s original interpretation. These equations could be baby steps to a brand-new quantum calculation algorithm that is simpler and faster than the established ones.

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Section: Example Atomssupporting

confidence: 88%

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

Chen

2023

Preprint

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“…This derivation was originally proposed by de Broglie to calculate the resonance state of the matter wave, 20,21 and consistent with the energy distribution interpretation proposed in this report. When the electron radius is smaller than the Bohr radius, the de Broglie wavelength of the electron is larger than the circumference thus unstable.…”

Section: Example Atomssupporting

confidence: 88%

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

Chen

2023

Preprint

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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. In this report, I present an innovative modification to the Schrödinger equation, which yields wavefunctions capable of accurately describing quantum phenomena. Concurrently, this modification introduces an alternative interpretation to the widely recognized Copenhagen interpretation within the realm of quantum theory.

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“…Where h is Planck constant 6.63×10 -34 J s. Thus, ground state energy of hydrogen, named the Rydberg energy constant, can be calculated: This derivation is originally proposed by de Broglie to calculate the resonance state of matter wave, 20 and consistent with energy distribution interpretation proposed in this report. When electron radius is smaller than the Bohr radius, the de Broglie wavelength of the electron is larger than the circumference thus unstable.…”

Section: Bohr Radius and A Hypothesis Of The Fine-structure Constantsupporting

confidence: 60%