Symmetries of the classical path integral on a generalized phase-space manifold

1992 ◽  
Vol 46 (2) ◽  
pp. 757-765 ◽  
Author(s):  
E. Gozzi ◽  
M. Reuter ◽  
W. D. Thacker
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Classical Path ◽  
Generalized Phase Space

Erratum: Symmetries of the classical path integral on a generalized phase-space manifold

1992 ◽  
Vol 46 (10) ◽  
pp. 4782-4782
Author(s):  
E. Gozzi ◽  
M. Reuter ◽  
W. D. Thacker
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Classical Path ◽  
Generalized Phase Space

CANONICAL PHASES AND QUANTUM CONNECTION

1992 ◽  
Vol 07 (19) ◽  
pp. 4595-4617 ◽  
Author(s):  
HIROSHI KURATSUJI
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
Path Integral ◽  
Lie Group ◽  
Spin Model ◽  
Compact Lie Group ◽  
Geometric Characteristics ◽  
The Many ◽  
State Path ◽  
Generalized Phase Space

The purpose of this paper is to give a somewhat expanded argument of the concept of the canonical phase recently investigated. This newly identified phase is considered to be a nonintegrable phase defined over the generalized phase space which is regarded as an integral realization of a “quantum (Hilbert) connection.” We formulate the theory in terms of the coherent state path integral. A particular interest is focused on the topological quantization in connection with the representation of compact Lie group and its application to the many-particle problem. We also examine the geometric characteristics of the canonical phase by using a spin model.

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

TOPOLOGICAL ASPECTS OF THE SPECIFIC HEAT

2009 ◽  
Vol 23 (20n21) ◽  
pp. 4170-4185 ◽  
Author(s):  
C. M. SARRIS ◽  
A. N. PROTO
Keyword(s):  
Phase Space ◽  
Specific Heat ◽  
Quantum System ◽  
Uncertainty Principle ◽  
Positive Definite ◽  
Metric Tensor ◽  
Quantum Nature ◽  
Generalized Phase Space

We describe how the specific heat of a quantum system is related to a positive definite metric defined on the generalized phase space in which the dynamics and thermodynamics of the system take place. This relationship is given through the components of a second-rank covariant metric tensor, enhancing a topological nature of the specific heat. We also present two examples where it can be seen how the uncertainty principle imposes strong constraints on the values achieved by the specific heat showing its inherent quantum nature.

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