Coherent states and excitation of a charged particle in a constant magnetic field by means of an electric field

1971 ◽  
Vol 6 (1) ◽  
pp. 51-55 ◽  
Author(s):  
I. A. Malkin ◽  
V. I. Man'ko
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Electric Field ◽  
Constant Magnetic Field ◽  
Coherent States

Uncertainty relation for a charged particle in a constant magnetic field

1987 ◽  
Vol 55 (4) ◽  
pp. 375-376 ◽  
Author(s):  
Walter C. Henneberger ◽  
Mojtaba Jafarpour
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Constant Magnetic Field ◽  
Uncertainty Relation

MAGNETIC GROUP ON THE PSEUDOSPHERE

1992 ◽  
Vol 06 (21) ◽  
pp. 3525-3537 ◽  
Author(s):  
V. BARONE ◽  
V. PENNA ◽  
P. SODANO
Keyword(s):  
Magnetic Field ◽  
Hilbert Space ◽  
Quantum Mechanics ◽  
Constant Magnetic Field ◽  
Coherent States ◽  
Compact Operators ◽  
Point Of View ◽  
Algebraic Point ◽  
Planar Limit ◽  
Discrete Part

The quantum mechanics of a particle moving on a pseudosphere under the action of a constant magnetic field is studied from an algebraic point of view. The magnetic group on the pseudosphere is SU(1, 1). The Hilbert space for the discrete part of the spectrum is investigated. The eigenstates of the non-compact operators (the hyperbolic magnetic translators) are constructed and shown to be expressible as continuous superpositions of coherent states. The planar limit of both the algebra and the eigenstates is analyzed. Some possible applications are briefly outlined.

scholarly journals States of a Charged Particle with a Tensor-Like Mass in External Constant Magnetic Field

1997 ◽  
Vol 4 (1-2) ◽  
pp. 190-194
Author(s):  
A.A. Borghardt ◽  
D. Ya. Karpenko ◽  
D.V. Kashkakha
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Constant Magnetic Field
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