Generalized versus selected descriptions of quantum LC - circuits

Details Generalized versus selected descriptions of quantum LC - circuits Generalized versus selected descriptions of quantum LC - circuits

2007-10-14

arxiv.org/abs/0710.2620v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

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 Schrodinger-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.

Affiliated with

Also associated with

No associations

Rating

Generalized versus selected descriptions of quantum LC - circuits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized versus selected descriptions of quantum LC - circuits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized versus selected descriptions of quantum LC - circuits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383818