Branched Hamiltonians and supersymmetry

T. L. Curtright, C. K. Zachos

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Some examples of branched Hamiltonians are explored both classically and in the context of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact cases of switchback potentials, albeit in momentum space, as previously analyzed for quasi-Hamiltonian chaotic dynamical systems in a classical setting, and as encountered in analogous renormalization group flows for quantum theories which exhibit RG cycles. A basic two-worlds model, with a pair of Hamiltonian branches related by supersymmetry, is considered in detail.

Original languageEnglish (US)
Article number145201
JournalJournal of Physics A: Mathematical and Theoretical
Issue number14
StatePublished - 2014
Externally publishedYes


  • Hamiltonian
  • multi-valued
  • quantum
  • switchback

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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