Partially solvable quantum many-body problems in D-dimensional space (D=1,2,3,…)

DOI10.1063/1.532961zbMath0964.81069OpenAlexW2033746140MaRDI QIDQ4270415

Francesco Calogero

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532961

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70)

Cites Work

• A class of exact solutions for \(N\) anyons in an \(N\)-body potential
• Calogero-Sutherland type models in higher dimensions.
• A quantum many-body problem in two dimensions: ground state.
• NEW EXACTLY AND CONDITIONALLY EXACTLY SOLVABLE N-BODY PROBLEMS IN ONE DIMENSION
• Novel correlations in two dimensions: Two-body problem
• Reply to comment `Exact solution of anN-body problem in one dimension'
• Novel Correlations in Two Dimensions: Some Exact Solutions
• Exact ground state of several N-body problems with an N-body potential
• Exact bound states of some N-body systems with two- and three-body forces

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