Static and dynamical manifestations of Hamiltonian monodromy
The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is nontrivial monodromy of action and angle variables in a Hamiltonian system ; for the obvious reason, we just cal...
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| Published in | Journal of physics. Conference series Vol. 99; no. 1; p. 012005 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Bristol
IOP Publishing
01.02.2008
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1742-6596 1742-6588 1742-6596 |
| DOI | 10.1088/1742-6596/99/1/012005 |
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| Abstract | The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is nontrivial monodromy of action and angle variables in a Hamiltonian system ; for the obvious reason, we just call it Hamiltonian monodromy . In this paper we describe two manifestations of Hamiltonian monodromy: a manifestation in a time-dependent classical system, and a manifestation in a stationary quantum system. Then we give a brief description of the mathematical theory, and finally close with a short survey of previous work on this subject. |
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| AbstractList | The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is nontrivial monodromy of action and angle variables in a Hamiltonian system ; for the obvious reason, we just call it Hamiltonian monodromy . In this paper we describe two manifestations of Hamiltonian monodromy: a manifestation in a time-dependent classical system, and a manifestation in a stationary quantum system. Then we give a brief description of the mathematical theory, and finally close with a short survey of previous work on this subject. |
| Author | Delos, J B Schleif, C R Dhont, G |
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| CitedBy_id | crossref_primary_10_1103_PhysRevLett_120_134301 crossref_primary_10_1103_PhysRevE_89_012919 crossref_primary_10_1103_PhysRevE_97_062216 crossref_primary_10_1103_PhysRevA_77_043422 crossref_primary_10_1103_PhysRevLett_103_034301 |
| Cites_doi | 10.1103/PhysRevLett.95.243002 10.1007/BF01450175 10.1016/j.cplett.2004.06.002 10.1090/S0273-0979-1988-15705-9 10.1103/PhysRevA.47.3113 10.1002/cpa.3160330602 10.1209/epl/i1999-00341-6 10.1016/j.cplett.2005.08.028 10.1016/S0167-2789(00)00053-1 10.1063/1.1811788 10.1103/PhysRevA.76.013404 10.1088/0305-4470/31/2/022 10.1103/PhysRevA.56.220 10.1016/S0375-9601(99)00229-7 10.1016/j.molstruc.2006.06.036 10.1103/RevModPhys.65.115 10.1006/aphy.2001.6196 10.1080/002689799165684 10.1002/(SICI)1097-0312(200002)53:2<143::AID-CPA1>3.0.CO;2-D 10.1098/rspa.2007.1843 10.1007/s002200050621 10.1007/BF00944566 10.1103/PhysRevLett.93.024302 10.1063/1.1573633 10.1063/1.1888574 |
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| References | 24 25 26 28 29 Cushman R H (27) 1999; 47 Child M S (9) 1998; 31 30 Cushmann R H (5) 1988; 19 Solove'v E A (23) 1983; 58 31 10 11 12 13 14 15 16 17 18 19 Efstathiou K (4) 2004 1 Delos J B (32) 2 6 Bates L M (3) 1997 7 8 Van der Waerden B L (22) 1967 20 21 |
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| Snippet | The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a... |
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| SubjectTerms | Closed loops Hamiltonian functions Mathematical analysis Physics Quantum theory |
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| Title | Static and dynamical manifestations of Hamiltonian monodromy |
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