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Quantum Algorithms

Minimal Length Uncertainty Relations and New Shape Invariant Models

arXiv
Authors: Donald Spector

Year

2007

Paper ID

49739

Status

Preprint

Abstract Read

~2 min

Abstract Words

63

Citations

N/A

Abstract

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 uncertainty relation. An important feature of our construction is the pairing of operators that are not adjoints of each other. The results in this paper thus show the broader applicability of shape invariance to exactly solvable systems.

Why This Paper Matters

  • It adds a 2007 reference point for readers tracking recent quantum research.
  • This paper identifies a new class of shape invariant models.

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