12 citations · 20 across the 3 of their papers we have counts for
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quant-ph2007★ 12 cited
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…
quant-ph2004
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…
quant-ph2003
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…