Near coherent states of an electron in a time-dependent linear potential

2006 ◽  
Vol 357 (3) ◽  
pp. 181-187 ◽  
Author(s):  
Gengbiao Lu ◽  
Wenhua Hai ◽  
Lihua Cai
Keyword(s):  
Coherent States ◽  
Time Dependent ◽  
Linear Potential

Generalized Coherent States of a Particle in a Time-Dependent Linear Potential

2009 ◽  
Vol 26 (7) ◽  
pp. 070307 ◽  
Author(s):  
L Krache ◽  
M Maamache ◽  
Y Saadi ◽  
A Beniaiche
Keyword(s):  
Coherent States ◽  
Time Dependent ◽  
Linear Potential ◽  
Generalized Coherent States

scholarly journals Dynamical Invariants for Generalized Coherent States via Complex Quantum Hydrodynamics

Dynamics ◽  
2021 ◽  
Vol 1 (2) ◽  
pp. 155-170
Author(s):  
Moise Bonilla-Licea ◽  
Dieter Schuch
Keyword(s):  
Coherent States ◽  
Equations Of Motion ◽  
Bohmian Mechanics ◽  
Equation Of Motion ◽  
Time Dependent ◽  
Auxiliary Equation ◽  
Linear Potential ◽  
Quantum Hydrodynamics ◽  
Generalized Coherent States ◽  
Dynamical Invariants

For time dependent Hamiltonians like the parametric oscillator with time-dependent frequency, the energy is no longer a constant of motion. Nevertheless, in 1880, Ermakov found a dynamical invariant for this system using the corresponding Newtonian equation of motion and an auxiliary equation. In this paper it is shown that the same invariant can be obtained from Bohmian mechanics using complex Hamiltonian equations of motion in position and momentum space and corresponding complex Riccati equations. It is pointed out that this invariant is equivalent to the conservation of angular momentum for the motion in the complex plane. Furthermore, the effect of a linear potential on the Ermakov invariant is analysed.

Ladder Invariants and Coherent States for Time-Dependent Non-Hermitian Hamiltonians

2020 ◽  
Vol 59 (4) ◽  
pp. 1214-1226 ◽  
Author(s):  
M. Zenad ◽  
F. Z. Ighezou ◽  
O. Cherbal ◽  
M. Maamache
Keyword(s):  
Coherent States ◽  
Time Dependent

Time-dependent pseudo-bosonic coherent states

2020 ◽  
Vol 61 (10) ◽  
pp. 102103
Author(s):  
Naima Mana ◽  
Omar Zaidi ◽  
Mustapha Maamache
Keyword(s):  
Coherent States ◽  
Time Dependent

Pseudo-fermionic coherent states with time-dependent metric

2020 ◽  
Vol 61 (4) ◽  
pp. 042101 ◽  
Author(s):  
W. Koussa ◽  
M. Attia ◽  
M. Maamache
Keyword(s):  
Coherent States ◽  
Time Dependent

scholarly journals DYNAMICS OF GENERALIZED COHERENT STATES

1995 ◽  
Vol 09 (13) ◽  
pp. 823-828 ◽  
Author(s):  
SALVATORE DE MARTINO ◽  
SILVIO DE SIENA ◽  
FABRIZIO ILLUMINATI
Keyword(s):  
Coherent States ◽  
Wave Packets ◽  
Classical Trajectory ◽  
Feedback Mechanism ◽  
The State ◽  
Time Dependent ◽  
Generalized Coherent States ◽  
Classical Evolution

We show that generalized coherent states follow Schrödinger dynamics in time-dependent potentials. The normalized wave-packets follow a classical evolution without spreading; in turn, the Schrödinger potential depends on the state through the classical trajectory. This feedback mechanism with continuous dynamical re-adjustment allows the packets to remain coherent indefinitely.

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