Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra

Details Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra

2005-03-26

arxiv.org/abs/math-ph/0503062v1

J.Math.Phys. 43 (2002) 2063-2096

Physics

Mathematical Physics

42 pages, 10 figures

Scientific paper

10.1063/1.1462858

States which minimize the Schr\"odinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The relations with supercoherent and supersqueezed states of the supersymmetric harmonic oscillator are given. Moreover, we are able to compute gneneral Hamiltonians which behave like the harmonic oscillator Hamiltonian or are related to the Jaynes--Cummings Hamiltonian.

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