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 language | English (US) |
|---|---|
| Article number | 145201 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 47 |
| Issue number | 14 |
| DOIs | |
| State | Published - Apr 14 2014 |
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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 journal › Article
}
TY - JOUR
T1 - Branched Hamiltonians and supersymmetry
AU - Curtright, Thomas
AU - Zachos, C. K.
PY - 2014/4/14
Y1 - 2014/4/14
N2 - 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.
AB - 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.
KW - Hamiltonian
KW - multi-valued
KW - quantum
KW - switchback
UR - http://www.scopus.com/inward/record.url?scp=84928801655&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928801655&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/47/14/145201
DO - 10.1088/1751-8113/47/14/145201
M3 - Article
AN - SCOPUS:84928801655
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
M1 - 145201
ER -