Darboux transformation of the coherent states of a nonrelativistic free particle

1999 ◽  
Vol 42 (2) ◽  
pp. 149-156
Author(s):  
B. F. Samsonov ◽  
L. A. Shekoyan
Keyword(s):  
Darboux Transformation ◽  
Coherent States ◽  
Free Particle

Coherent States of Quantum Free Particle on the Spherical Space

2015 ◽  
Vol 55 (1) ◽  
pp. 124-136 ◽  
Author(s):  
Shahram Dehdashti ◽  
Rasoul Roknizadeh ◽  
Ali Mahdifar ◽  
Hongsheng Chen
Keyword(s):  
Coherent States ◽  
Free Particle ◽  
Spherical Space

scholarly journals Analyzing generalized coherent states for a free particle

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Mustapha Maamache ◽  
Abderrezak Khatir ◽  
Halim Lakehal ◽  
Jeong Ryeol Choi
Keyword(s):  
Coherent States ◽  
Free Particle ◽  
Generalized Coherent States

BARUT–GIRARDELLO COHERENT STATES CONSTRUCTED BY Ym m(θ,φ) AND Ym+1 m(θ,φ) FOR A FREE PARTICLE ON THE SPHERE

2004 ◽  
Vol 19 (35) ◽  
pp. 2619-2628 ◽  
Author(s):  
A. CHENAGHLOU ◽  
H. FAKHRI
Keyword(s):  
Lie Algebra ◽  
Coherent States ◽  
Free Particle ◽  
Irreducible Representations ◽  
Legendre Functions ◽  
Associated Legendre Functions ◽  
Shape Invariance ◽  
Infinite Dimensional ◽  
Direct Sum ◽  
Lowering Operator

Using the realization idea of simultaneous shape invariance with respect to two different parameters of the associated Legendre functions, the Hilbert space of spherical harmonics Yn m(θ,φ) corresponding to the motion of a free particle on a sphere is split into a direct sum of infinite-dimensional Hilbert subspaces. It is shown that these Hilbert subspaces constitute irreducible representations for the Lie algebra u (1,1). Then by applying the lowering operator of the Lie algebra u (1,1), Barut–Girardello coherent states are constructed for the Hilbert subspaces consisting of Ym m(θ,φ) and Ym+1 m(θ,φ).

HIGHER DERIVATIVE SUPERSYMMETRY, A MODIFIED CRUM–DARBOUX TRANSFORMATION AND COHERENT STATE

1999 ◽  
Vol 14 (01) ◽  
pp. 27-34 ◽  
Author(s):  
B. BAGCHI ◽  
A. GANGULY ◽  
D. BHAUMIK ◽  
A. MITRA
Keyword(s):  
Coherent State ◽  
Darboux Transformation ◽  
Coherent States ◽  
Second Derivative ◽  
Interesting Problem ◽  
Higher Derivative

Inspired by the possibility of factorizing the second derivative interwining operators using a modified form of the well-known Crum–Darboux transformation, we present a scheme for generating a new pair of isospectral potentials. We also consider the interesting problem of constructing coherent states for such factorizable operators.

Gazeau- Klouder Coherent states on a sphere

2019 ◽  
Vol 19 (2) ◽  
pp. 379-390
Author(s):  
Z Heibati ◽  
A Mahdifar ◽  
E Amooghorban ◽  
◽  
◽  
...  
Keyword(s):  
Coherent States
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