Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Papp, E.
AU - Micu, C.
AU - Borchin, O.
TI - Generalized versus Selected Descriptions of Quantum *LC*-Circuits
JO - Journal of Computational and Theoretical Nanoscience
PY - 2010-02-01T00:00:00///
VL - 7
IS - 2
SP - 479
EP - 485
KW - QUANTUM LC-CIRCUITS
KW - CHARGE DISCRETIZATION
KW - DISCRETE SCHRÃ–DINGER EQUATIONS
KW - MANY-CHARGE GENERALIZATIONS
N2 - Proofs are given that the quantum-mechanical description of the *LC*-circuit with a time dependent external source can be readily established by starting from a more general discretization rule of the electric charge. For this purpose one resorts to an arbitrary but integer-dependent real function *F*(*n*) instead of *n*. This results in a nontrivial generalization of the discrete time dependent SchrÃ¶dinger-equation established before via *F*(*n*) = *n*, as well as to modified charge conservation laws. However, selected descriptions can also be done by looking for a unique derivation of the effective inductance. This leads to site independent inductances, but site dependent ones get implied by accounting for periodic solutions to *F*(*n*) in terms of Jacobian elliptic functions. Many-charge generalizations of quantum circuits, including the modified continuity equation for total charge and current densities, have also been discussed.
UR - http://www.ingentaconnect.com/content/asp/jctn/2010/00000007/00000002/art00019
M3 - doi:10.1166/jctn.2010.1382
UR - http://dx.doi.org/10.1166/jctn.2010.1382
ER -