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
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
关键词 ：
03.65.-w ,
03.65.Pm ,
05.30.-d
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.
Key words ：
03.65.-w
03.65.Pm
05.30.-d
出版日期: 2002-05-01
引用本文:
REN Shang-Yuan. Relativistic Energy Spectrum of a Completely Confined Particle
and Fowler’s Treatment on Electron Assemblies with Relativistic Energies[J]. 中国物理快报, 2002, 19(5): 617-619.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2002/V19/I5/617
[1]
WANG Jian-Hua; LI Kang;. He--McKellar--Wilkens Effect in Noncommutative Space
[2]
WANG An-Min;ZHU Ren-Gui. Energy Spectrum Symmetry of Heisenberg Model in Fock Space
[3]
BIAN Xue-Bin;QIAO Hao-Xue;SHI Ting-Yun. B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrödinger Equations
[4]
HAN Lian-Fang;LIU Yi-Min;ZHANG Zhan-Jun;. Multiparty Quantum Secret Sharing of Classical Message using Cavity Quantum Electrodynamic System
[5]
Salvatore De Vincenzo. SUSY QM in a One-Dimensional Box and Local Observable Quantities
[6]
TIAN Li-Jun;YANG Guo-Hong;ZHANG Hong-Biao;HOU Jing-Min. Reduced Properties and Applications of Y(sl(2)) Algebra for a Two-Spin System
[7]
DONG Dao-Yi;CHEN Chun-Lin;CHEN Zong-Hai;ZHANG Chen-Bin. Quantum Mechanics Helps in Learning for More Intelligent Robots
[8]
Axel Schulze-Halberg. Exactly Solvable Combinations of Scalar and Vector Potentials for the Dirac Equation Interrelated by Riccati Equations
[9]
S. H. Kim. Anomalously Strong Scattering of Spontaneously Produced Laser Radiation in the First Free-Electron Laser and Study of Free-Electron Two-Quantum Stark Lasing in an Electric Wiggler with Quantum-Wiggler Electrodynamics
[10]
ZHANG Zheng-Jie;WANG Ke-Lin;. Discussion on Maximally Entangled States of Two Coupled Two-Level Particles by Coherent State Approximation
[11]
LI Kang;CHAMOUN Nidal;. Hydrogen Atom Spectrum in Noncommutative Phase Space
[12]
HUANG Xiao-Li;CHENG Li-Hong;YI Xue-Xi. Entanglement Distillation for Mixed States Using Particle Statistics
[13]
Eser Olgar;Ramazan Koc;Hayriye Tütüncüler. Bound States of the S-Wave Equation with Equal Scalar and Vector Standard Eckart Potential
[14]
LI Hong-Qi;XU Xing-Lei;WANG Ji-Suo. Quantum Fluctuations of Current and Voltage for Mesoscopic Quartz Piezoelectric Crystal at Finite Temperature
[15]
S. A. Alavi. General Noncommuting Curvilinear Coordinates and Fluid Mechanics
2002, Vol. 19 
