CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C

Details CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C

2004-12-18

arxiv.org/abs/hep-th/0412211v1

Int.J.Mod.Phys. A20 (2005) 7107-7128

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1142/S0217751X05022901

A brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). We study the consequences of the assumption that the "charge" operator C is represented in a differential-operator form. Besides the freedom allowed by the Hermiticity constraint for the operator CP, encouraging results are obtained in the second-order case. The integrability of intertwining relations proves to match the closure of nonlinear SUSY algebra. In an illustration, our CPT-symmetric SUSY QM leads to non-Hermitian polynomial oscillators with real spectrum which turn out to be PT-asymmetric.

Affiliated with

Also associated with

No associations

Rating

CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C 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 CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332585