scholarly journals Phase space path integral for modified pöschl-teller potential

2021 ◽  
Vol 1766 (1) ◽  
pp. 012031
Author(s):  
M S Allal ◽  
B Bentag
Keyword(s):  
Phase Space ◽  
Path Integral

PATH INTEGRAL QUANTIZATION OF SUPERSTRING

2010 ◽  
Vol 25 (02) ◽  
pp. 135-141
Author(s):  
H. A. ELEGLA ◽  
N. I. FARAHAT
Keyword(s):  
Phase Space ◽  
Differential Equations ◽  
Path Integral ◽  
Equations Of Motion ◽  
Singular System ◽  
Constrained Systems ◽  
Classical Structure ◽  
Path Integral Quantization ◽  
Total Differential

Motivated by the Hamilton–Jacobi approach of constrained systems, we analyze the classical structure of a four-dimensional superstring. The equations of motion for a singular system are obtained as total differential equations in many variables. The path integral quantization based on Hamilton–Jacobi approach is applied to quantize the system, and the integration is taken over the canonical phase space coordinates.

scholarly journals Superfield formulation of the phase space path integral

1999 ◽  
Vol 446 (2) ◽  
pp. 175-178 ◽  
Author(s):  
I.A. Batalin ◽  
K. Bering ◽  
P.H. Damgaard
Keyword(s):  
Phase Space ◽  
Path Integral

scholarly journals A comparative review of four formulations of noncommutative quantum mechanics

2016 ◽  
Vol 31 (19) ◽  
pp. 1630025 ◽  
Author(s):  
Laure Gouba
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Path Integral ◽  
Heisenberg Algebra ◽  
Noncommutative Quantum Mechanics ◽  
Comparative Review ◽  
Noncommutative Quantum

Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl–Wigner and systematic formulations. Although all these formulations represent quantum mechanics on a phase space with the same deformed Heisenberg algebra, there are mathematical and conceptual differences which we discuss.

PROBLEMS WITH THE PATH-INTEGRAL DESCRIPTION OF THE TEMPORAL, LIGHT-CONE AND FOCK-SCHWINGER GAUGES

1992 ◽  
Vol 07 (03) ◽  
pp. 219-224 ◽  
Author(s):  
MARTIN LAVELLE ◽  
DAVID McMULLAN
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Light Cone ◽  
Space Formalism

Simple arguments are presented to show that the standard Faddeev-Popov formulations of the temporal, light-cone and Fock-Schwinger gauges are not unitary. We also demonstrate that the phase space formalism of these theories provide three counterexamples to the Fradkin-Vilkovisky theorem.

scholarly journals THE STOCHASTIC QUANTIZATION METHOD IN PHASE SPACE AND A NEW GAUGE FIXING PROCEDURE

1994 ◽  
Vol 09 (30) ◽  
pp. 2803-2815
Author(s):  
RIUJI MOCHIZUKI
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Equilibrium Solution ◽  
Planck Equation ◽  
Langevin Equations ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Canonical Variables ◽  
Gauge Fixing ◽  
Integral Distribution

We study the stochastic quantization of the system with first class constraints in phase space. Though the Langevin equations of the canonical variables are defined without ordinary gauge fixing procedure, gauge fixing conditions are automatically selected and introduced by imposing stochastic consistency conditions upon the first class constraints. Then the equilibrium solution of the Fokker–Planck equation is identical to the corresponding path-integral distribution.

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