We obtain the Schrodinger wave functions of a generalized pendulum under
time-dependent gravitation by making use of the Lewis and Riesenfeld
invariant method. As an example, we consider a generalized pendulum with
constant gravitation and exponentially increasing mass. We also present
a canonical approach to the generalized time-dependent pendulum.
%0 Journal Article
%1 WOS:000228162600008
%A Pedrosa, IA
%A Guedes, I
%C 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
%D 2005
%I WORLD SCIENTIFIC PUBL CO PTE LTD
%J MODERN PHYSICS LETTERS A
%K approach} canonical function; gravitation; invariant method; time-dependent wave {pendulum;
%N 7
%P 553-560
%R 10.1142/S0217732305015574
%T Quantum states of a generalized pendulum under time-dependent
gravitation
%V 20
%X We obtain the Schrodinger wave functions of a generalized pendulum under
time-dependent gravitation by making use of the Lewis and Riesenfeld
invariant method. As an example, we consider a generalized pendulum with
constant gravitation and exponentially increasing mass. We also present
a canonical approach to the generalized time-dependent pendulum.
@article{WOS:000228162600008,
abstract = {We obtain the Schrodinger wave functions of a generalized pendulum under
time-dependent gravitation by making use of the Lewis and Riesenfeld
invariant method. As an example, we consider a generalized pendulum with
constant gravitation and exponentially increasing mass. We also present
a canonical approach to the generalized time-dependent 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/273cff6eb56aa420da36c6e1f424b4627/ppgfis_ufc_br},
doi = {10.1142/S0217732305015574},
interhash = {203fc65c3df40dcf9964ec07d18b20be},
intrahash = {73cff6eb56aa420da36c6e1f424b4627},
issn = {0217-7323},
journal = {MODERN PHYSICS LETTERS A},
keywords = {approach} canonical function; gravitation; invariant method; time-dependent wave {pendulum;},
number = 7,
pages = {553-560},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Quantum states of a generalized pendulum under time-dependent
gravitation},
tppubtype = {article},
volume = 20,
year = 2005
}