29 citations · 156 across the 17 of their papers we have counts for
18 papers
Quantization of Pseudoclassical Systems in the Schrödinger Realization
Theodore J. Allen, Donald Spector, Christopher Wilson
We examine the quantization of pseudoclassical dynamical systems, models that have classically anticommuting variables, in the Schrödinger picture. We quantize these systems, which…
Minimal Length Uncertainty Relations and New Shape Invariant Models
Donald Spector
This paper identifies a new class of shape invariant models. These models are based on extensions of conventional quantum mechanics that satisfy a string-motivated minimal length u…
Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics
Michael Faux, David Kagan, Donald Spector
We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on s…
A BPS Interpretation of Shape Invariance
Michael Faux, Donald Spector
We show that shape invariance appears when a quantum mechanical model is invariant under a centrally extended superalgebra endowed with an additional symmetry generator, which we d…
Duality and Central Charges in Supersymmetric Quantum Mechanics
Michael Faux, Donald Spector
We identify a class of point-particle models that exhibit a target-space duality. This duality arises from a construction based on supersymmetric quantum mechanics with a non-vanis…
Applications of Partial Supersymmetry
Donald Spector
I examine quantum mechanical Hamiltonians with partial supersymmetry, and explore two main applications. First, I analyze a theory with a logarithmic spectrum, and show how to use…