Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific delta-function potential to the Hamiltonian. The reliability of this regularization procedure is verified by comparing its results for the 2-anyon in harmonic potential system with the known exact solutions. I then use the delta-function regularized bosonic end perturbation theory to test some recent conjectures concerning the unknown portion of the many-anyon spectra.
PERTURBATIVE BOSONIC END ANYON SPECTRA AND CONTACT INTERACTIONS / AMELINO-CAMELIA, Giovanni. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 326:3-4(1994), pp. 282-287. [10.1016/0370-2693(94)91323-4]
PERTURBATIVE BOSONIC END ANYON SPECTRA AND CONTACT INTERACTIONS
AMELINO-CAMELIA, Giovanni
1994
Abstract
Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific delta-function potential to the Hamiltonian. The reliability of this regularization procedure is verified by comparing its results for the 2-anyon in harmonic potential system with the known exact solutions. I then use the delta-function regularized bosonic end perturbation theory to test some recent conjectures concerning the unknown portion of the many-anyon spectra.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
