Ter-Kazarian, G. An extended phase-space SUSY quantum mechanics. (English) Zbl 1155.81022 J. Phys. A, Math. Theor. 42, No. 5, Article ID 055302, 12 p. (2009). Summary: In the present paper, we will concern ourselves with the extended phase-space quantum mechanics of particles which have both bosonic and fermionic degrees of freedom, i.e., the quantum field theory in \((0 + 1)\) dimensions in \(q\)-(position) and \(p\)-(momentum) spaces, exhibiting supersymmetry. We present \((N = 2)\) realization of extended supersymmetry algebra and discuss the vacuum energy and topology of super-potentials. Shape invariance of exactly solvable extended SUSY potentials allows us to obtain analytic expressions for the entire energy spectrum of an extended Hamiltonian with, for example, Scarf potential without ever referring to an underlying differential equation. Cited in 1 Document MSC: 81Q60 Supersymmetry and quantum mechanics 81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics PDFBibTeX XMLCite \textit{G. Ter-Kazarian}, J. Phys. A, Math. Theor. 42, No. 5, Article ID 055302, 12 p. (2009; Zbl 1155.81022) Full Text: DOI