Feynman path integral to relativistic quantum mechanics

1990 ◽  
pp. 196-209
Author(s):  
Takashi Ichinose
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Feynman Path Integral ◽  
Feynman Path

scholarly journals p-Adic Path Integrals for Quadratic Actions

1997 ◽  
Vol 12 (20) ◽  
pp. 1455-1463 ◽  
Author(s):  
G. S. Djordjević ◽  
B. Dragovich
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Path Integrals ◽  
Probability Amplitude ◽  
Exact Form ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
One Dimensional ◽  
Ordinary Quantum

The Feynman path integral in p-adic quantum mechanics is considered. The probability amplitude [Formula: see text] for one-dimensional systems with quadratic actions is calculated in an exact form, which is the same as that in ordinary quantum mechanics.

STATIONARY PHASE, QUANTUM MECHANICS AND SEMI-CLASSICAL LIMIT

1996 ◽  
Vol 08 (08) ◽  
pp. 1161-1185 ◽  
Author(s):  
JORGE REZENDE
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Stationary Phase ◽  
Finite Number ◽  
Path Integral ◽  
Critical Points ◽  
Classical Limit ◽  
Oscillatory Integral ◽  
Feynman Path Integral ◽  
Feynman Path

A method of stationary phase for the normalized-oscillatory integral on Hilbert space is developed in the case where the phase function has a finite number of critical points which are non-degenerate. Applications to the Feynman path integral and the semi-classical limit of quantum mechanics are given.

NELSON'S STOCHASTIC MECHANICS BY MEANS OF FEYNMAN PATH INTEGRALS

2000 ◽  
Vol 14 (03) ◽  
pp. 73-78 ◽  
Author(s):  
LUIZ C. L. BOTELHO
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Path Integrals ◽  
Order Equation ◽  
Feynman Path Integral ◽  
Stochastic Mechanics ◽  
Path Integral Formulation ◽  
Feynman Path ◽  
First Order ◽  
Feynman Path Integrals

We show that Nelson's stochastic mechanics suitably formulated as a Hamilton–Jacobi first-order equation leads straightforwardly to the Feynman path integral formulation of quantum mechanics.

scholarly journals Path Integral Approach to Relativistic Quantum Mechanics

1987 ◽  
Vol 92 ◽  
pp. 144-175 ◽  
Author(s):  
Takashi Ichinose ◽  
Hiroshi Tamura
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Integral Approach ◽  
Path Integral Approach

scholarly journals Path Integral Formulation of Relativistic Quantum Mechanics

Nature ◽  
1962 ◽  
Vol 196 (4852) ◽  
pp. 370-370 ◽  
Author(s):  
M. C. GOODALL
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Relativistic Quantum ◽  
Integral Formulation ◽  
Relativistic Quantum Mechanics ◽  
Path Integral Formulation

scholarly journals Timeless path integral for relativistic quantum mechanics

2013 ◽  
Vol 30 (12) ◽  
pp. 125004 ◽  
Author(s):  
Dah-Wei Chiou
Keyword(s):  
Quantum Mechanics ◽  
Path Integral ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics

scholarly journals Application of relativistic quantum mechanics in radial problems and E/M equations

2021 ◽  
Vol 1869 (1) ◽  
pp. 012187
Author(s):  
G Y Arygunartha ◽  
N M D Janurianti ◽  
Y P Situmeang
Keyword(s):  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics
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