Quantum mechanics of layers with a finite number of point perturbations

Details Quantum mechanics of layers with a finite number of point perturbations Quantum mechanics of layers with a finite number of point perturbations

2001-03-23

arxiv.org/abs/math-ph/0103030v1

J. Math. Phys. 43 (2002), 1152-1184

Physics

Mathematical Physics

LateX 2e, 48 pages, with 3 ps and 3 eps figures

Scientific paper

10.1063/1.1431710

We study spectral and scattering properties of a spinless quantum particle confined to an infinite planar layer with hard walls containing a finite number of point perturbations. A solvable character of the model follows from the explicit form of the Hamiltonian resolvent obtained by means of Krein's formula. We prove the existence of bound states, demonstrate their properties, and find the on-shell scattering operator. Furthermore, we analyze the situation when the system is put into a homogeneous magnetic field perpendicular to the layer; in that case the point interactions generate eigenvalues of a finite multiplicity in the gaps of the free Hamiltonian essential spectrum.

Affiliated with

Also associated with

No associations

Rating

Quantum mechanics of layers with a finite number of point perturbations 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 Quantum mechanics of layers with a finite number of point perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum mechanics of layers with a finite number of point perturbations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192934