Squeezed States of a Particle in Magnetic Field

Details Squeezed States of a Particle in Magnetic Field Squeezed States of a Particle in Magnetic Field

1998-01-30

arxiv.org/abs/quant-ph/9801077v2

Solid State Phys. 40 (1998) 1276

Physics

Quantum Physics

RevTex, 12 pages, 4 Postscript figures, submitted to Physics of the Solid State; added references

Scientific paper

10.1134/1.1130543

For a charged particle in a homogeneous magnetic field, we construct stationary squeezed states which are eigenfunctions of the Hamiltonian and the non-Hermitian operator $\hat{X}_{\Phi} = \hat{X} \cos \Phi + \hat{Y} \sin \Phi$, $\hat{X}$ and $\hat{Y}$ being the coordinates of the Larmor circle center and $\Phi$ is a complex parameter. In the family of the squeezed states, the quantum uncertainty in the Larmor circle position is minimal. The wave functions of the squeezed states in the coordinate representation are found and their properties are discussed. Also, for arbitrary gauge of the vector potential we derive the symmetry operators of translations and rotations.

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