Path integral in the representation of SU(2) coherent state and classical dynamics in a generalized phase space

1980 ◽  
Vol 21 (3) ◽  
pp. 472-476 ◽  
Author(s):  
Hiroshi Kuratsuji ◽  
Tōru Suzuki
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
Path Integral ◽  
Classical Dynamics ◽  
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.

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

Generalized Phase Space Formulation of the Hamiltonian Dynamics

1974 ◽  
Vol 52 (16) ◽  
pp. 1532-1546 ◽  
Author(s):  
M. Razavy ◽  
Frederick James Kennedy
Keyword(s):  
Phase Space ◽  
Hamiltonian Dynamics ◽  
Equations Of Motion ◽  
Hamiltonian Function ◽  
Hamiltonian Operator ◽  
Classical Dynamics ◽  
Time Translation ◽  
Number Of Generators ◽  
Space Formulation ◽  
Generalized Phase Space

In an n dimensional phase space, the generator of the time translation can be written in terms of a Hamiltonian and a set of Poisson brackets for the phase space variables. When the velocity vector in this phase space is divergenceless, then the equations of motion reduce to those obtained by Nambu. The extension of the Hamiltonian dynamics to the phase space of arbitrary dimensions enables one to find a generalized Hamiltonian function for equations of motion involving time derivatives of any order (even or odd) of the coordinates. The problem of quantization of Nambu's generalized dynamics is studied, and it is shown that in certain cases, for a system moving under a set of constraints, it is possible to replace the Hamiltonian operator by an infinite number of generators of time translation functions. Some examples from classical dynamics and quantum mechanics are given to show the range of applicability of the generalized phase space formulation.

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

scholarly journals Controlling phase space caustics in the semiclassical coherent state propagator

2008 ◽  
Vol 323 (3) ◽  
pp. 654-672 ◽  
Author(s):  
A.D. Ribeiro ◽  
M.A.M. de Aguiar
Keyword(s):  
Phase Space ◽  
Coherent State

One-dimensional coherent-state representation on a circle in phase space

1994 ◽  
Vol 50 (5) ◽  
pp. 4293-4297 ◽  
Author(s):  
P. Domokos ◽  
P. Adam ◽  
J. Janszky
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
State Representation ◽  
One Dimensional
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