We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function, possibly with cusps. Appropriate boundary conditions, which we identify, ensure unitary time evolution. In special cases a dual (canonical) transformation maps the problem into a problem of quantum mechanics on singular spaces, which we also develop. Several possible applications are indicated.
|Journal||Physical Review Letters|
|State||Published - Nov 13 2012|
ASJC Scopus subject areas
- Physics and Astronomy (all)