TY - JOUR
T1 - Branched quantization
AU - Shapere, Alfred
AU - Wilczek, Frank
PY - 2012/11/13
Y1 - 2012/11/13
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84869031246&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84869031246&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.109.200402
DO - 10.1103/PhysRevLett.109.200402
M3 - Article
AN - SCOPUS:84869031246
SN - 0031-9007
VL - 109
JO - Physical Review Letters
JF - Physical Review Letters
IS - 20
M1 - 200402
ER -