Branched Hamiltonians and supersymmetry

Thomas Curtright, C. K. Zachos

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume47
Issue number14
DOIs
StatePublished - Apr 14 2014

Fingerprint

Supersymmetry
Hamiltonians
quantum theory
dynamical systems
supersymmetry
quantum mechanics
Quantum theory
momentum
cycles
Chaotic Dynamical Systems
Quantum Theory
Renormalization Group
Quantum Mechanics
Momentum
Dynamical systems
Branch
Cycle
Model

Keywords

  • Hamiltonian
  • multi-valued
  • quantum
  • switchback

ASJC Scopus subject areas

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

Cite this

Branched Hamiltonians and supersymmetry. / Curtright, Thomas; Zachos, C. K.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 14, 145201, 14.04.2014.

Research output: Contribution to journalArticle

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