1207.2677 (Alfred Shapere et al.)

Branched Quantization    [PDF]

Alfred Shapere, Frank Wilczek

We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function with cusps. Appropriate boundary conditions, which we identify, insure unitary time evolution. In special cases a dual (canonical) transformation maps the problem into a problem of quantum mechanics on singular spatial manifolds, which we also develop. Several possible applications are indicated.

View original: http://arxiv.org/abs/1207.2677