DENSITY OPERATOR REPRESENTATION IN MULTI-MATRIX VECTOR COHERENT STATES: LANDAU PROBLEM IN A HARMONIC POTENTIAL BACKGROUND

2021 ◽  
Vol 88 (3) ◽  
pp. 327-350
Author(s):  
ISIAKA AREMUA ◽  
MAHOUTON NORBERT HOUNKONNOU ◽  
KOMI SODOGA
Keyword(s):  
Coherent States ◽  
Density Operator ◽  
Harmonic Potential ◽  
Operator Representation ◽  
Matrix Vector ◽  
Vector Coherent States

scholarly journals LANDAU LEVELS IN A TWO-DIMENSIONAL NONCOMMUTATIVE SPACE: MATRIX AND QUATERNIONIC VECTOR COHERENT STATES

2012 ◽  
Vol 19 (04) ◽  
pp. 1250033 ◽  
Author(s):  
MAHOUTON NORBERT HOUNKONNOU ◽  
ISIAKA AREMUA
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Harmonic Potential ◽  
Noncommutative Space ◽  
Two Dimensional ◽  
Space Matrix ◽  
Matrix Vector ◽  
Vector Coherent States

The behavior of an electron in an external uniform electromagnetic background coupled to an harmonic potential, with noncommuting space coordinates, is considered in this work. The thermodynamics of the system is studied. Matrix vector coherent states (MVCS) as well as quaternionic vector coherent states (QVCS), satisfying required properties, are also constructed and discussed.

Matrix vector coherent states for Landau levels

2020 ◽  
Vol 14 (5) ◽  
pp. 237-266
Author(s):  
Isiaka Aremua ◽  
Mahouton Norbert Hounkonnou
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Matrix Vector ◽  
Vector Coherent States

scholarly journals Multi-matrix vector coherent states

2004 ◽  
Vol 314 (1) ◽  
pp. 119-144 ◽  
Author(s):  
K. Thirulogasanthar ◽  
G. Honnouvo ◽  
A. Krzyżak
Keyword(s):  
Coherent States ◽  
Matrix Vector ◽  
Vector Coherent States

WIGNER FUNCTION EVOLUTION OF EXCITED EVEN AND ODD COHERENT STATE IN THERMAL ENVIRONMENT VIA THERMO ENTANGLED APPROACH

2013 ◽  
Vol 27 (23) ◽  
pp. 1350120 ◽  
Author(s):  
HONG-CHUN YUAN ◽  
YE-JUN XU ◽  
LEI CHEN ◽  
XUE-FEN XU
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Decay Time ◽  
Arbitrary Number ◽  
Coherent States ◽  
Density Operator ◽  
Thermal Environment ◽  
New Approach ◽  
Non Gaussian ◽  
Analytical Expressions

We adopt a new approach, thermo entangled representation, to study time evolution of density operator in thermal environment. We then investigate the analytical expressions of Wigner function (WF) evolution of arbitrary number excited coherent states (ECSs) and excited even (odd) coherent states (EECSs, EOCSs) in thermal environment, respectively. In addition, their nonclassicality is numerically discussed by exploring the negativity of WF with decay time in thermal channel, respectively. It is found that WF loses its non-Gaussian nature and becomes Gaussian after long times.

scholarly journals Quaternionic vector coherent states for spin-orbit interactions

2013 ◽  
Vol 7 ◽  
pp. 253-275
Author(s):  
Isiaka Aremua ◽  
Mahouton Norbert Hounkonnou ◽  
Ezinvi Baloitcha
Keyword(s):  
Coherent States ◽  
Spin Orbit ◽  
Spin Orbit Interactions ◽  
Vector Coherent States
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