TY - JOUR
AU - Zelaya, Kevin
PY - 2022/02/28
Y2 - 2024/04/15
TI - Time-dependent mass oscillators: constants of motion and semiclasical states
JF - Acta Polytechnica
JA - Acta Polytech
VL - 62
IS - 1
SE - Analytic and Algebraic Methods in Physics
DO - 10.14311/AP.2022.62.0211
UR - https://ojs.cvut.cz/ojs/index.php/ap/article/view/7718
SP - 211-221
AB - <p>This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a spectral problem for each constant of motion, one of which leads to a non-orthogonal set of eigensolutions that are, in turn, coherent states. That is, eigensolutions whose wavepacket follows a classical trajectory and saturate, in this case, the SchrÃ¶dinger-Robertson uncertainty relationship. Results obtained in this form are relatively general, and some particular examples are considered to illustrate the results further. Notably, a regularized Caldirola-Kanai mass term is introduced in an attempt to amend some of the unusual features found in the conventional<br />Caldirola-Kanai case.</p>
ER -