@article{Zelaya_2022, title={Time-dependent mass oscillators: constants of motion and semiclasical states}, volume={62}, url={https://ojs.cvut.cz/ojs/index.php/ap/article/view/7718}, DOI={10.14311/AP.2022.62.0211}, abstractNote={<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>}, number={1}, journal={Acta Polytechnica}, author={Zelaya, Kevin}, year={2022}, month={Feb.}, pages={211â€“221} }