Singular factorizations, self-adjoint extensions and applications to quantum many-body physics
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
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.
one dimension, systems
IdentifiersURN: urn:nbn:se:kth:diva-15481DOI: 10.1088/0305-4470/39/5/004ISI: 000235712500006ScopusID: 2-s2.0-31144468974OAI: oai:DiVA.org:kth-15481DiVA: diva2:333522
QC 201005252010-08-052010-08-052011-08-30Bibliographically approved