Physical review. B, Condensed matter

Coherent states for the two-dimensional magnetic-electric Euclidean group MEE(2)

F. T. Hadjioannou, N. V. Sarlis

Published Oct 15, 1997• 6 citations

Abstract

We define the magnetic-electric two-dimensional Euclidean group coherent states, and discuss their properties for various applications. We compare them with other commonly used basis states, coherent or noncoherent, for the problem of the electron in crossed magnetic and electric fields.

DOI: 10.1103/physrevb.56.9406

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Physical review. B, Condensed matter

Coherent states for the two-dimensional magnetic-electric Euclidean group MEE(2)

F. T. Hadjioannou, N. V. Sarlis

Published Oct 15, 1997• 6 citations

Publisher

Abstract

DOI: 10.1103/physrevb.56.9406

Related papers

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Journal of Physics A Mathematical and GeneralApr 15, 20049 citations

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We have seen before that spin coherent states are strongly linked with the algebraic and geometric properties of the Euclidean 2-sphere

\mathbb S^2

. We shall now consider analogue setting when the sphere is replaced by the 2-pseudosphere i.e. the Euclidean metric in

\mathbb R^3

is replaced by the Minkowski metric and the group SO(3) by the symmetry group SO(2, 1). The main big difference with the Euclidean case is that in the Minkowski case the pseudosphere and its symmetry groupe SO(2, 1) are not compact and that all irreducible unitary representations of SO(2, 1) are infinite dimensional.