Parametric-time coherent states for Morse potential

2002 ◽  
Vol 80 (8) ◽  
pp. 875-881 ◽  
Author(s):  
N Unal
Keyword(s):  
Coherent States ◽  
Morse Potential ◽  
Potential Problem ◽  
Path Integrals ◽  
Harmonic Oscillators

We transform the Lagrangian of the Morse-potential problem into two harmonic oscillators in a new parametric time and quantize this system by using path integrals over holomorphic coordinates of oscillators and derive coherent states. PACS Nos.: 31.15-p, 03.65Ca, 03.65Ge

U(1/1) q q -Coherent States and Path Integrals for the q -Deformed Jaynes-Cummings Model

1994 ◽  
Vol 21 (4) ◽  
pp. 441-446
Author(s):  
Le-Man Kuang ◽  
Fa-Bo Wang ◽  
Gao-Jian Zeng
Keyword(s):  
Coherent States ◽  
Path Integrals

Coherent states for Smorodinsky-Winternitz potentials

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Nuri Ünal
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Wave Packets ◽  
Harmonic Oscillators ◽  
Polar Coordinates ◽  
Two Dimensional ◽  
Cartesian Coordinates ◽  
Physical Time ◽  
First Case

AbstractIn this study, we construct the coherent states for a particle in the Smorodinsky-Winternitz potentials, which are the generalizations of the two-dimensional harmonic oscillator problem. In the first case, we find the non-spreading wave packets by transforming the system into four oscillators in Cartesian, and also polar, coordinates. In the second case, the coherent states are constructed in Cartesian coordinates by transforming the system into three non-isotropic harmonic oscillators. All of these states evolve in physical-time. We also show that in parametric-time, the second case can be transformed to the first one with vanishing eigenvalues.

COHERENT STATES WITHOUT GROUPS: QUANTIZATION ON NONHOMOGENEOUS MANIFOLDS

1993 ◽  
Vol 08 (18) ◽  
pp. 1735-1738 ◽  
Author(s):  
JOHN R. KLAUDER
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
Wide Class ◽  
Coherent States ◽  
Path Integrals ◽  
Killing Vector ◽  
Single Variable ◽  
Holomorphic Representation ◽  
Representation Spaces ◽  
State Path

A wide class of single-variable holomorphic representation spaces are constructed that are associated with very general sets of coherent states defined without the use of transitively acting groups. These representations and states are used to define coherent-state path integrals involving phase-space manifolds having one Killing vector but a quite general curvature otherwise.

Path Integrals and Coherent States of SU(2) and SU(1,1)

10.1142/1404 ◽  
1992 ◽  
Author(s):  
A Inomata ◽  
H Kuratsuji ◽  
C C Gerry
Keyword(s):  
Coherent States ◽  
Path Integrals
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