%0 Journal Article %1 WOS:000377028900002 %A Pedrosa, I A %A Jr., E Nogueira %A Guedes, I %C 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE %D 2016 %I WORLD SCIENTIFIC PUBL CO PTE LTD %J MODERN PHYSICS LETTERS B %K Gaussian LC Lewis Riesenfeld Schrodinger and circuit; equation; law; method; packets} solenoid; time-dependent {Faraday's %N 12 %R 10.1142/S0217984916501220 %T On the dynamics of a time-dependent mesoscopic LC circuit with a negative inductance %V 30 %X We discuss the problem of a mesoscopic LC circuit with a negative inductance ruled by a time-dependent Hermitian Hamiltonian. Classically, we find unusual expressions for the Faraday's law and for the inductance of a solenoid. Quantum mechanically, we solve exactly the time-dependent Schrodinger equation through the Lewis and Riesenfeld invariant operator method and construct Gaussian wave packet solutions for this time-dependent LC circuit. We also evaluate the expectation values of the charge and the magnetic flux in these Gaussian states, their quantum fluctuations and the corresponding uncertainty product.

@article{WOS:000377028900002, abstract = {We discuss the problem of a mesoscopic LC circuit with a negative inductance ruled by a time-dependent Hermitian Hamiltonian. Classically, we find unusual expressions for the Faraday's law and for the inductance of a solenoid. Quantum mechanically, we solve exactly the time-dependent Schrodinger equation through the Lewis and Riesenfeld invariant operator method and construct Gaussian wave packet solutions for this time-dependent LC circuit. We also evaluate the expectation values of the charge and the magnetic flux in these Gaussian states, their quantum fluctuations and the corresponding uncertainty product.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, author = {Pedrosa, I A and Jr., E Nogueira and Guedes, I}, biburl = {https://www.bibsonomy.org/bibtex/2accdcf93b3be2dd45befcf6d199b8d1e/ppgfis_ufc_br}, doi = {10.1142/S0217984916501220}, interhash = {1c43214acd48292896de5727cf5c2a22}, intrahash = {accdcf93b3be2dd45befcf6d199b8d1e}, issn = {0217-9849}, journal = {MODERN PHYSICS LETTERS B}, keywords = {Gaussian LC Lewis Riesenfeld Schrodinger and circuit; equation; law; method; packets} solenoid; time-dependent {Faraday's}, number = 12, publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {On the dynamics of a time-dependent mesoscopic LC circuit with a negative inductance}, tppubtype = {article}, volume = 30, year = 2016 }