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Quasiclassical trajectory-coherent states of a spinless relativistic particle in a constant homogeneous magnetic field. Kvaziklassicheskie traektorno-kogerentnye sostoyaniya besspinovoj relyativistskoj chastitsy v postoyannom odnorodnom magnitnom pole

D Boltovskij, A. G. Karavaev

Published May 1, 1989• 0 citations
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Quasiclassical trajectory coherent states of nonrelativistic particle in a homogeneous magnetic field. Kvaziklassicheskie traektorno-kogerentnye sostoyaniya nerelyativistskoj chastitsy v odnorodnom magnitnom pole

Belov, D Boltovskij, A. G. Karavaev

Nonrelativistic particle in a homogeneous magnetic field was taken as an example to illustrate the general structure of quasiclassical trajectory - coherent states. Relation of these states (representing exact solutions in the case of quadratic nonrelativistic quantum systems) with widely known coherent and correlated coherent states was established.

•Jun 1, 1990•0 citations

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Quasiclassical trajectory-coherent states of a particle in an arbitrary electromagnetic field

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In this paper we show that for a nonrelativistic charged particle moving in an arbitrary external electromagnetic field there exist approximate solutions of the Schrödinger equation, such that the quantum-mechanical averages of the coordinates and the momenta with respect to these states are general exact solutions of the classical Hamiltonian equations. Such states are called trajectory-coherent states. The wave functions of the trajectory-coherent states are obtained by the complex germ method by V. P. Maslov. The simplest properties of these states are studied.

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The Aharonov-Bohm effect for nonstationary quasiclassical trajectory-coherent states in a uniform magnetic field

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Coherent state of an electron in a homogeneous constant magnetic field and the zero magnetic field limit

Sándor Varró

Coherent states of an electron embedded in a constant homogeneous magnetic field are constructed. The centres of the probability distributions belonging to these states gyrate along possible classical trajectories. Suitable packets of such coherent states are defined which reduce to properly normalised free electronic states in the zero magnetic field limit. A simple example is given to illustrate the dynamics of free electron localisation due to the presence of a magnetic field.

Journal of Physics A Mathematical and General•Jun 1, 1984•28 citations
In this paper we show that for a nonrelativistic charged particle moving in an arbitrary external electromagnetic field there exist approximate solutions of the Schrödinger equation, such that the quantum-mechanical averages of the coordinates and the momenta with respect to these states are general exact solutions of the classical Hamiltonian equations. Such states are called trajectory-coherent states. The wave functions of the trajectory-coherent states are obtained by the complex germ method by V. P. Maslov. The simplest properties of these states are studied.