Perturbative Bosonic End Anyon Spectra and Contact Interactions

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.

Plain Tex, MIT-CTP-2242, to appear in Physics Letters B

References in corpus (2)

• Infinite Symmetry in the Quantum Hall Effect
• Pressure in Chern-Simons Field Theory to Three-Loop Order

Cited by in corpus (20)

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• Renormalization in Nonrelativistic Quantum Mechanics
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• Magnetic Moment and Perturbation Theory with Singular Magnetic Fields
• Perturbative Renormalizations of Anyon Quantum Mechanics
• On Superconformal Anyons
• Quantum Description of Anyons: Role of Contact Terms
• Relativistic Corrections to the Aharonov-Bohm Scattering
• Renormalized Contact Potential in Two Dimensions
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Renormalized Path Integral in Quantum Mechanics
• The Conformal Spectrum of Non-Abelian Anyons
• Approximate formula for the ground state energy of anyons in 2D parabolic well
• Approximate ground state of a confined Coulomb anyon gas in an external magnetic field
• Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering
• Two-particle scattering theory for anyons
• Dimensional versus cut-off renormalization and the nucleon-nucleon interaction
• On the Three-Anyon Harmonics
• Relativistic scalar Aharonov-Bohm scattering