Kinetic energy based relativistic wave equation

被引：8

作者：

Umul, Yusuf Ziya ^{[1
]}

机构：

[1] Cankaya Univ, Elect & Commun Engn Dept, Eskisehir Yolu 29 Km, TR-06790 Ankara, Turkey

来源：

OPTIK | 2018年 / 172卷

关键词：

Quantum mechanics; Special theory of relativity; Diffraction in time; KLEIN-GORDON EQUATION; TIME; DIFFRACTION; MECHANICS;

D O I：

10.1016/j.ijleo.2018.07.074

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Schrodinger equation is based on a Hamiltonian, which is the sum of kinetic and potential energies. The energy term, in the relativistic energy-momentum relation, is divided into its kinetic and rest energy components according to the Hamiltonian of the Schrodinger equation. The differential equation is obtained by using the plane wave representation. It is found that the derived form of the Klein-Gordon equation is more similar to the Schrodinger equation than the classical one. Non-relativistic limit is also studied.

引用

页码：691 / 696

页数：6

共 15 条

[1] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY
AHARONOV, Y
BOHM, D
[J]. PHYSICAL REVIEW, 1959, 115 (03): : 485 - 491
[2] DERIVATION OF SOLUTIONS OF KLEIN-GORDON EQUATION FROM SOLUTIONS OF WAVE EQUATION
CHAMBERS, LG
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 : 125 - &
[3] The Schrodinger-Newton equation as a non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
Giulini, Domenico
Grossardt, Andre
[J]. CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (21)
[4] The Compton effect according to the Schrodinger theory
Gordon, W
[J]. ZEITSCHRIFT FUR PHYSIK, 1926, 40 (1/2): : 117 - 133
[5] Greiner W., 1987, RELATIVISTIC QUANTUM
[6] Klein O., 2016, Z PHYS, V12, P895
[7] LASER BEAMS AND RESONATORS
KOGELNIK, H
LI, T
[J]. APPLIED OPTICS, 1966, 5 (10) : 1550 - +
[8] DIFFRACTION IN TIME AND TIME-ENERGY UNCERTAINTY RELATION
MOSHINSKY, M
[J]. AMERICAN JOURNAL OF PHYSICS, 1976, 44 (11) : 1037 - 1042
[9] DIFFRACTION IN TIME
MOSHINSKY, M
[J]. PHYSICAL REVIEW, 1952, 88 (03): : 625 - 631
[10] Electron wave-packet dynamics in a relativistic electromagnetic field:: 3-D analytical approximation
Peatross, J.
Mueller, C.
Keitel, C. H.
[J]. OPTICS EXPRESS, 2007, 15 (10): : 6053 - 6061

← 1 2 →