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Singular factorizations, self-adjoint extensions and applications to quantum many-body physics
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2006 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 39, no 5, 1057-1071 p.Article in journal (Refereed) Published
Abstract [en]

We study self-adjoint operators defined by factorizing second-order differential operators in first-order ones. We discuss examples where such factorizations introduce singular interactions into simple quantum-mechanical models such as the harmonic oscillator or the free particle on the circle. The generalization of these examples to the many-body case yields quantum models of distinguishable and interacting particles in one dimensions which can be solved explicitly and by simple means. Our considerations lead us to a simple method to construct exactly solvable quantum many-body systems of Calogero-Sutherland type.

Place, publisher, year, edition, pages
2006. Vol. 39, no 5, 1057-1071 p.
Keyword [en]
one dimension, systems
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-15481DOI: 10.1088/0305-4470/39/5/004ISI: 000235712500006ScopusID: 2-s2.0-31144468974OAI: diva2:333522
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-08-30Bibliographically approved

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