On the discrete spectrum of two-particle discrete Schrödinger operators

Details On the discrete spectrum of two-particle discrete Schrödinger operators On the discrete spectrum of two-particle discrete Schrödinger operators

2011-03-16

arxiv.org/abs/1103.3132v1

Mathematics

Functional Analysis

11 pages

Scientific paper

In the present paper our aim is to explore some spectral properties of the family two-particle discrete Schr\"odinger operators $h^{\mathrm{d}}(k)=h^{\mathrm{d}}_0(k)+ \mathbf{v},$ $k\in \T^\mathrm{d},$ on the $\mathrm{d}$ dimensional lattice $\Z^{\mathrm{d}},$ $\mathrm{d}\geq 1,$ $k$ being the two-particle quasi-momentum. Under some condition in the case $k\in \T^{\mathrm{d}}\setminus (-\pi,\pi)^{\mathrm{d}},$ we establish necessary and sufficient conditions for existence of infinite discrete spectrum of the operator $h^{\mathrm{d}}(k)$.

Affiliated with

Also associated with

No associations

Rating

On the discrete spectrum of two-particle discrete Schrödinger operators 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 On the discrete spectrum of two-particle discrete Schrödinger operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the discrete spectrum of two-particle discrete Schrödinger operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-262730