\(W_{1+\infty}\) symmetries of the quantum Cologero system

DOI10.1007/BF01017063zbMath0852.17030OpenAlexW2151780995MaRDI QIDQ1918854

Alexander Yu. Orlov

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017063

zbMATH Keywords

Virasoro algebraconserved chargesmany-body problem\(W_{1 + \infty}\) algebraquantum Calogero system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70)

Cites Work

• Commutative rings of partial differential operators and Lie algebras

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