%0 Journal Article %1 WOS:000608605100011 %A Aguiar, V %A Nascimento, J P G %A Guedes, I %A Filho, R N Costa %C RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS %D 2021 %I ELSEVIER %J PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS %K Hamiltonian; Lewis London Riesenfeld Superconductivity} and equations; method; {Time-dependent %R 10.1016/j.physc.2020.1353783 %T London superconductivity approach in a time-dependent background %V 580 %X The main goal of this paper is to obtain the exact quantum solutions for charge space in a superconductor with time-dependent parameters using the London approach. We introduce a new quantization scheme for the charge inside a superconductor based on the Lewis and Riesenfeld invariant operator method. From the wave-functions obtained, we calculated the time-dependent uncertainties and the mean energy of the system. Information measures were also obtained, such as Shannon entropy and complexity. The later is always time-independent and also does not depend on conductivity. The other quantities are written in terms of a time-dependent function, rho(t), c-number quantity satisfying a nonlinear differential equation.

@article{WOS:000608605100011, abstract = {The main goal of this paper is to obtain the exact quantum solutions for charge space in a superconductor with time-dependent parameters using the London approach. We introduce a new quantization scheme for the charge inside a superconductor based on the Lewis and Riesenfeld invariant operator method. From the wave-functions obtained, we calculated the time-dependent uncertainties and the mean energy of the system. Information measures were also obtained, such as Shannon entropy and complexity. The later is always time-independent and also does not depend on conductivity. The other quantities are written in terms of a time-dependent function, rho(t), c-number quantity satisfying a nonlinear differential equation.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, author = {Aguiar, V and Nascimento, J P G and Guedes, I and Filho, R N Costa}, biburl = {https://www.bibsonomy.org/bibtex/2713b555a7903dffb0b645e152dcce2e6/ppgfis_ufc_br}, doi = {10.1016/j.physc.2020.1353783}, interhash = {10a653e45269fb7efa4b936fe6d9e746}, intrahash = {713b555a7903dffb0b645e152dcce2e6}, issn = {0921-4534}, journal = {PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS}, keywords = {Hamiltonian; Lewis London Riesenfeld Superconductivity} and equations; method; {Time-dependent}, publisher = {ELSEVIER}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {London superconductivity approach in a time-dependent background}, tppubtype = {article}, volume = 580, year = 2021 }