Displaced and squeezed number states |
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| Affiliation: | 1. Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, NM 87545, USA;2. Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany;1. Department of Mathematics, Faculty of Education, Mie University, 1577 Kurima-machiya-cho Tsu, Mie Prefecture 514-8507, Japan;2. Department of Electrical and Electronic Engineering, Faculty of Engineering, Hokkaido University of Science, 7-15-4-1 Maeda, Teine, Sapporo, Hokkaido 006-8585, Japan;1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;2. College of Science and Technology, Jiangxi Normal University, Nanchang 330022, China;1. Dept. Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014, University of Jyväskylä, Finland;2. Dept. Mathematics and System Analysis, P.O. Box 11100, FI-00076, Aalto University, Finland;1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China;2. Aix-Marseille University, CNRS UMR-7332, Univ. Sud Toulon-Var, 13288 Marseille Cedex 9, France;3. Laboratoire de Mathématiques et de Physique Théorique, Université de Tours, France;1. Universidad de Vigo, PO-36310, Pontevedra, Spain;2. High school of Valga, PO-36645, Xunta de Galicia, Pontevedra, Spain |
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| Abstract: | From a background of displaced (coherent) and squeezed states, previous (often forgotten) work on displaced and squeezed number states is reviewed. We derive the most general of such states. The time-dependent expectation values, uncertainties, wave-functions, and probability densities are obtained. We comment on the possibility of experimentally observing these states. |
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