Unusual properties of some E=0 localized states and the quantum-classical correspondence

DOI10.1016/j.physleta.2006.10.025zbMath1197.81125OpenAlexW2030546073WikidataQ116677471 ScholiaQ116677471MaRDI QIDQ601395

Adam J. Makowski, K. J. Górska

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.025

zbMATH Keywords

bound statesquantum-classical correspondencecentral potentialslocalized states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (5)

Localization at the energy threshold in non-commutative space ⋮ Quantum-classical correspondence for motion on a plane with deficit angle ⋮ INVERSE SQUARE PROBLEM AND so(2, 1) SYMMETRY IN NONCOMMUTATIVE SPACE ⋮ Exact, zero-energy, square-integrable solutions of a model related to the Maxwell's fish-eye problem ⋮ AUXILIARY QUANTIZATION CONSTRAINTS ON THE VON ROOS ORDERING-AMBIGUITY AT ZERO BINDING ENERGIES; AZIMUTHALLY SYMMETRIZED CYLINDRICAL COORDINATES

Cites Work

• Zero-energy states for a class of quasi-exactly solvable rational potentials.
• Newton’s laws of motion in the form of a Riccati equation
• Correspondence between some wave patterns and Lissajous figures
• Vortex structure of quantum eigenstates and classical periodic orbits in two-dimensional harmonic oscillators
• Multidimensional generalized coherent states
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• On the Problem of Degeneracy in Quantum Mechanics
• Scattering of Ions by Polarization Forces
• Vortex lattices in quantum mechanics

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