New Quasi-Exactly Solvable Difference Equation

DOI10.2991/jnmp.2008.15.s3.36zbMath1362.81040arXiv0712.2616OpenAlexW1965932080MaRDI QIDQ5347013

Ryu Sasaki

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2616

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

Exactly and quasi-exactly solvable ‘discrete’ quantum mechanics ⋮ Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

Cites Work

• A new class of integrable systems and its relation to solitons
• Quasi-exactly-solvable problems and sl(2) algebra
• Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
• QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES
• Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States
• Exact Heisenberg operator solutions for multiparticle quantum mechanics
• Quasiexactly solvable difference equations
• Multiparticle quasiexactly solvable difference equations
• Shape Invariant Potentials in "Discrete Quantum Mechanics"
• The Factorization Method
• Newton-equivalent Hamiltonians for the harmonic oscillator

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