Relativistic Energy Spectrum of a Completely Confined Particle
and Fowler’s Treatment on Electron Assemblies with Relativistic Energies

Chin. Phys. Lett.

2002, Vol. 19

Issue (5): 617-619 DOI:

Original Articles

Relativistic Energy Spectrum of a Completely Confined Particle and Fowler’s Treatment on Electron Assemblies with Relativistic Energies

REN Shang-Yuan

Department of Physics, Peking University, Beijing 100871

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REN Shang-Yuan 2002 Chin. Phys. Lett. 19 617-619

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Abstract We give an analytical expression for the relativistic energy spectrum of a particle completely confined in a one-dimensional limited length in real space, based upon the wave property of particles, the relativistic energy-momentum relation and two mathematical formulas. Fowler’s treatment using a relativistic energy momentum relation of progressive waves in the electron assemblies in an enclosure, is justified in the large volume limit, by using the analytical expression obtained.

Keywords: 03.65.-w 03.65.Pm 05.30.-d

Published: 01 May 2002

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Pm	(Relativistic wave equations)
	05.30.-d	(Quantum statistical mechanics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I5/0617

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