Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-04
Nucl.Phys.B659:437-457,2003
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 21 pages; minor changes in text, some references added, to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(03)00189-5
We show that the N-particle A_{N-1} and B_N rational Calogero models without the harmonic interaction admit a new class of bound and scattering states. These states owe their existence to the self-adjoint extensions of the corresponding Hamiltonians, labelled by a real parameter z. It is shown that the new states appear for all values of N and for specific ranges of the coupling constants. Moreover, they are shown to exist even in the excited sectors of the Calogero models. The self-adjoint extension generically breaks the classical scaling symmetry, leading to quantum mechanical scaling anomaly. The scaling symmetry can however be restored for certain values of the parameter z. We also generalize these results for many particle systems with classically scale invariant long range interactions in arbitrary dimensions.
Basu-Mallick Bireswar
Ghosh Pijush K.
Gupta Kumar S.
No associations
LandOfFree
Novel Quantum States of the Rational Calogero Models Without the Confining Interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Novel Quantum States of the Rational Calogero Models Without the Confining Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Novel Quantum States of the Rational Calogero Models Without the Confining Interaction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-155179