Autocorrelation functions for quantum particles in supersymmetric Pöschl-Teller potentials

DOI10.4153/S0008439520000879zbMath1483.81080arXiv2010.08011OpenAlexW3097379739MaRDI QIDQ5019191

Francesco Cellarosi

Publication date: 3 January 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08011

zbMATH Keywords

Jacobi theta functionsautocorrelation functionssupersymmetric quantum mechanicsPöschl-Teller potentialsequidistribution of horocycle liftshomogenous dynamics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Homogeneous spaces (22F30) Supersymmetry and quantum mechanics (81Q60) Theta series; Weil representation; theta correspondences (11F27) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Weyl sums (11L15) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Supersymmetry and Morse theory
• Pair correlation densities of inhomogeneous quadratic forms
• Limit theorems for theta sums
• Spectral theta series of operators with periodic bicharacteristic flow
• Quadratic Weyl sums, automorphic functions and invariance principles
• Supersymmetric partners of the trigonometric Pöschl–Teller potentials
• AreN= 1 andN= 2 supersymmetric quantum mechanics equivalent?

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