Skyrme-model Lagrangian in quantum mechanics: SU(2) case

Abstract

Quantum-mechanical structures of the SU(2) Skyrme model are examined in the framework of the collective-coordinate quantization. This nonlinear model gives us a simple example of quantum mechanics on a curved space. According to the procedure adopted by Sugano, Kimura, and others, we treat the Lagrangian quantum mechanically from the beginning. Some remarks are given on relations between Hamilton and Lagrange formalisms. To the classical mass term, a new one is added, which may play a role to stabilize the rotating chiral soliton.