Author(s)Shapere, Alfred; Wilczek, Frank
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
Shapere, Alfred, and Frank Wilczek. “Branched Quantization.” Physical Review Letters 109.20 (2012). © 2012 American Physical Society
Final published version