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- Title
On the dynamics of a time-dependent mesoscopic LC circuit with a negative inductance.
- Authors
Pedrosa, I. A.; Nogueira, E.; Guedes, I.
- 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 Schrödinger 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.
- Subjects
MESOSCOPIC systems; CIRCUIT resonance; ELECTRIC inductance; SCHRODINGER equation; WAVE packets; QUANTUM fluctuations
- Publication
Modern Physics Letters B, 2016, Vol 30, Issue 12, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984916501220