Exact ground state of several N-body problems with an N-body potential

DOI10.1063/1.532720zbMath0956.81013arXivcond-mat/9712133OpenAlexW2051771770MaRDI QIDQ4701880

Avinash Khare

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9712133

zbMATH Keywords

excited statesCalogero-type \(N\)-body Hamiltonianexact eigenstates

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (3)

Partially solvable quantum many-body problems in D-dimensional space (D=1,2,3,…) ⋮ 2D Calogero model in the collective-field approach ⋮ Commuting quantum matrix models

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
• Exact solution of anN-body problem in one dimension
• Novel correlations in two dimensions: Two-body problem
• Exact solution of anN-body problem in one dimension: two comments
• Reply to comment `Exact solution of anN-body problem in one dimension'
• Exchange operator formalism for integrable systems of particles
• Novel Correlations in Two Dimensions: Some Exact Solutions
• Exact bound states of some N-body systems with two- and three-body forces

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