SUSY transformation of the Green function and a trace formula

Details SUSY transformation of the Green function and a trace formula SUSY transformation of the Green function and a trace formula

2005-07-17

arxiv.org/abs/quant-ph/0507160v1

J. Phys. A: Math. Gen. 38 (2005) 7557-7565

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/38/34/009

An integral relation is established between the Green functions corresponding to two Hamiltonians which are supersymmetric (SUSY) partners and in general may possess both discrete and continuous spectra. It is shown that when the continuous spectrum is present the trace of the difference of the Green functions for SUSY partners is a finite quantity which may or may not be equal to zero despite the divergence of the traces of each Green function. Our findings are illustrated by using the free particle example considered both on the whole real line and on a half line.

Affiliated with

Also associated with

No associations

Rating

SUSY transformation of the Green function and a trace formula 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 SUSY transformation of the Green function and a trace formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SUSY transformation of the Green function and a trace formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-396719