%0 Journal Article %1 WOS:000224474800007 %A Pedrosa, IA %A Guedes, I %C 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE %D 2004 %I WORLD SCIENTIFIC PUBL CO PTE LTD %J INTERNATIONAL JOURNAL OF MODERN PHYSICS A %K Ermakov Hamiltonians} invariants; pendulum; quantum states; time-dependent {inverted %N 24 %P 4165-4172 %R 10.1142/S0217751X04019731 %T Exact quantum states of an inverted pendulum under time-dependent gravitation %V 19 %X We discuss the Lewis and Riesenfeld invariant method for cases where the invariant has continuous eigenvalues and use it to find the Schrodinger wave functions of an inverted pendulum under time-dependent gravitation. As a particular case, we consider an inverted pendulum with exponentially increasing mass and constant gravitation. We also obtain the exact solutions for a generalized time-dependent inverted pendulum.

@article{WOS:000224474800007, abstract = {We discuss the Lewis and Riesenfeld invariant method for cases where the invariant has continuous eigenvalues and use it to find the Schrodinger wave functions of an inverted pendulum under time-dependent gravitation. As a particular case, we consider an inverted pendulum with exponentially increasing mass and constant gravitation. We also obtain the exact solutions for a generalized time-dependent inverted pendulum.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, author = {Pedrosa, IA and Guedes, I}, biburl = {https://www.bibsonomy.org/bibtex/29401dd70bd1d4326ef605a5c7adb77b6/ppgfis_ufc_br}, doi = {10.1142/S0217751X04019731}, interhash = {3df201851ce22cd6222c587b720224f0}, intrahash = {9401dd70bd1d4326ef605a5c7adb77b6}, issn = {0217-751X}, journal = {INTERNATIONAL JOURNAL OF MODERN PHYSICS A}, keywords = {Ermakov Hamiltonians} invariants; pendulum; quantum states; time-dependent {inverted}, number = 24, pages = {4165-4172}, publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Exact quantum states of an inverted pendulum under time-dependent gravitation}, tppubtype = {article}, volume = 19, year = 2004 }