Functional-Integral Approach to the Quantum Dynamics of Nonrelativistic Bose and Fermi Systems in the Coherent-state Representation

1994 ◽  
Vol 42 (7) ◽  
pp. 589-610 ◽  
Author(s):  
D. Ebert ◽  
V. S. Yarunin
Keyword(s):  
Coherent State ◽  
Quantum Dynamics ◽  
Functional Integral ◽  
Integral Approach ◽  
State Representation ◽  
Fermi Systems

scholarly journals COHERENT STATE FUNCTIONAL INTEGRAL IN LOOP QUANTUM COSMOLOGY: ALTERNATIVE DYNAMICS

2012 ◽  
Vol 27 (15) ◽  
pp. 1250078 ◽  
Author(s):  
LI QIN ◽  
YONGGE MA
Keyword(s):  
Coherent State ◽  
Quantum Cosmology ◽  
Quantum Dynamics ◽  
Large Scale ◽  
Friedmann Equation ◽  
Transition Amplitude ◽  
Functional Integral ◽  
Effective Theory ◽  
Loop Quantum Cosmology ◽  
Hamiltonian Constraint

Coherent state functional integral for the minisuperspace model of loop quantum cosmology is studied. By the well-established canonical theory, the transition amplitude in the path integral representation of loop quantum cosmology with alternative dynamics can be formulated through group averaging. The effective action and Hamiltonian with higher-order quantum corrections are thus obtained. It turns out that for a nonsymmetric Hamiltonian constraint operator, the Moyal (star)-product emerges naturally in the effective Hamiltonian. For the corresponding symmetric Hamiltonian operator, the resulted effective theory implies a possible quantum cosmological effect in large scale limit in the alternative dynamical scenario, which coincides with the result in canonical approach. Moreover, the first-order modified Friedmann equation still contains the particular information of alternative dynamics and hence admits the possible phenomenological distinction between the different proposals of quantum dynamics.

Reaction diffusion with initially separated reactants: Functional integral approach

1997 ◽  
Vol 56 (1) ◽  
pp. 708-711 ◽  
Author(s):  
Victor Malyutin ◽  
Savely Rabinovich ◽  
Shlomo Havlin
Keyword(s):  
Reaction Diffusion ◽  
Functional Integral ◽  
Integral Approach

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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