Branched quantization

Alfred Shapere, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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.

Original languageEnglish
Article number200402
JournalPhysical Review Letters
Issue number20
StatePublished - Nov 13 2012

ASJC Scopus subject areas

  • General Physics and Astronomy


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