%0 Journal Article %1 WOS:000333504200017 %A Aguiar, V %A Guedes, I %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 2014 %I ELSEVIER SCIENCE BV %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K Quantum Schrodinger's damped entropy; equation; harmonic oscillators} {Joint %P 159-166 %R 10.1016/j.physa.2014.01.048 %T Joint entropy of quantum damped harmonic oscillators %V 401 %X We use the dynamical invariant method and a unitary transformation to obtain the exact Schrodinger wave function, psi(n), (chi, t), and calculate for n = 0 the time-dependent joint entropy (Leipnik's entropy) for two classes of quantum damped harmonic oscillators. We observe that the joint entropy does not vary in time for the Caldirola-Kanai oscillator, while it decreases and tends to a constant value (In (e/2)) for asymptotic times for the Lane Emden ones. This is due to the fact that for the latter, the damping factor decreases as time increases. The results show that the time dependence of the joint entropy is quite complex and does not obey a general trend of monotonously increase with time. (c) 2014 Elsevier B.V. All rights reserved.

@article{WOS:000333504200017, abstract = {We use the dynamical invariant method and a unitary transformation to obtain the exact Schrodinger wave function, psi(n), (chi, t), and calculate for n = 0 the time-dependent joint entropy (Leipnik's entropy) for two classes of quantum damped harmonic oscillators. We observe that the joint entropy does not vary in time for the Caldirola-Kanai oscillator, while it decreases and tends to a constant value (In (e/2)) for asymptotic times for the Lane Emden ones. This is due to the fact that for the latter, the damping factor decreases as time increases. The results show that the time dependence of the joint entropy is quite complex and does not obey a general trend of monotonously increase with time. (c) 2014 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Aguiar, V and Guedes, I}, biburl = {https://www.bibsonomy.org/bibtex/2d7cfd10b3c3c7496b96d4465d2f5c884/ppgfis_ufc_br}, doi = {10.1016/j.physa.2014.01.048}, interhash = {37d3eece18803e10932ca69821d99a8e}, intrahash = {d7cfd10b3c3c7496b96d4465d2f5c884}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {Quantum Schrodinger's damped entropy; equation; harmonic oscillators} {Joint}, pages = {159-166}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Joint entropy of quantum damped harmonic oscillators}, tppubtype = {article}, volume = 401, year = 2014 }