Squeezed states of a particle in magnetic field
1998 (English)In: Physics of the solid state, ISSN 1063-7834, E-ISSN 1090-6460, Vol. 40, no 8, 1276-1282 p.Article in journal (Refereed) Published
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 (X) over cap(Phi) = (X) over cap cos Phi + (Y) over cap sin Phi, (X) over cap and (Y) over cap 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. Besides, for arbitrary gauge of the vector potential we derive the symmetry operators of translations and rotations.
Place, publisher, year, edition, pages
1998. Vol. 40, no 8, 1276-1282 p.
IdentifiersURN: urn:nbn:se:umu:diva-91465DOI: 10.1134/1.1130543ISI: 000075726400004OAI: oai:DiVA.org:umu-91465DiVA: diva2:736434