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Volumn 3, Issue 5, 2002, Pages 883-894

Sign of the monodromy for liouville integrable systems

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Indexed keywords


EID: 0036434806     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-002-8640-7     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 0347904275 scopus 로고
    • Monodromy in the Champagne bottle
    • L. Bates, Monodromy in the Champagne bottle, Z. Angew. Math. Phys. 42, 837-847 (1991).
    • (1991) Z. Angew. Math. Phys. , vol.42 , pp. 837-847
    • Bates, L.1
  • 2
    • 0011618096 scopus 로고    scopus 로고
    • Application of classification theory for integrable hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mappings near singular points
    • Dynamical systems, 1
    • A.V. Bolsinov and A.T. Fomenko, Application of classification theory for integrable hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mappings near singular points, J. Math. Sci. (Dynamical systems, 1) 78, 542-555 (1996).
    • (1996) J. Math. Sci. , vol.78 , pp. 542-555
    • Bolsinov, A.V.1    Fomenko, A.T.2
  • 3
    • 0032535923 scopus 로고    scopus 로고
    • Quantum states in a Champagne bottle
    • M.S. Child, Quantum states in a Champagne bottle, J. Phys. A. 31, 657-670 (1998).
    • (1998) J. Phys. A. , vol.31 , pp. 657-670
    • Child, M.S.1
  • 6
    • 0035343175 scopus 로고    scopus 로고
    • Non-hamiltonian monodromy
    • _, Non-hamiltonian monodromy, J. Differential Equations 172, 42-58 (2001).
    • (2001) J. Differential Equations , vol.172 , pp. 42-58
  • 7
    • 0347450519 scopus 로고    scopus 로고
    • Monodromy in the hydrogen atom in crossed fields
    • R. Cushman and D.A. Sadovskií, Monodromy in the hydrogen atom in crossed fields, Phys. D 142, no. 1-2, 166-196 (2000).
    • (2000) Phys. D , vol.142 , Issue.1-2 , pp. 166-196
    • Cushman, R.1    Sadovskií, D.A.2
  • 8
    • 84980167278 scopus 로고
    • On global action-angle variables
    • J.J. Duistermaat, On global action-angle variables, Comm. Pure Appl. Math. 33, 687-706 (1980).
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 687-706
    • Duistermaat, J.J.1
  • 10
    • 0036148414 scopus 로고    scopus 로고
    • Monodromy in systems with coupled angular momenta and rearrangement of bands in quantum spectra
    • 012105
    • L. Grondin, D. Sadovskii and B. Zhilinskií, Monodromy in systems with coupled angular momenta and rearrangement of bands in quantum spectra, Phys. Rev. A (3) 65, no. 012105, 1-15 (2001).
    • (2001) Phys. Rev. A (3) , vol.65 , pp. 1-15
    • Grondin, L.1    Sadovskii, D.2    Zhilinskií, B.3
  • 11
    • 0011618097 scopus 로고    scopus 로고
    • Private communication, email 5 November 2001
    • V. Matveev, Private communication, email 5 November 2001.
    • Matveev, V.1
  • 12
    • 0003376901 scopus 로고    scopus 로고
    • Integrable hamiltonian systems with two degrees of freedom. Topological structure of saturated neighborhoods of saddle-saddle and focus points
    • _, Integrable hamiltonian systems with two degrees of freedom. topological structure of saturated neighborhoods of saddle-saddle and focus points, Mat. Sb. 187, 29-58 (1996).
    • (1996) Mat. Sb. , vol.187 , pp. 29-58
  • 13
    • 0003204864 scopus 로고
    • Complex surfaces and connected sums of complex projective planes
    • Springer-Verlag
    • B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Mathematics, no. 603, Springer-Verlag, 1977.
    • (1977) Lecture Notes in Mathematics , Issue.603
    • Moishezon, B.1
  • 14
    • 0000707901 scopus 로고    scopus 로고
    • Monodromy, diabolic points, and angular momentum coupling
    • D.A. Sadovskií and B.I. Zhilinskií, Monodromy, diabolic points, and angular momentum coupling, Phys. Lett. A 256, no. 4, 235-244 (1999).
    • (1999) Phys. Lett. A , vol.256 , Issue.4 , pp. 235-244
    • Sadovskií, D.A.1    Zhilinskií, B.I.2
  • 16
  • 17
    • 0037525498 scopus 로고    scopus 로고
    • Quantum monodromy in integrable systems
    • S. Vũ Ngoc, Quantum monodromy in integrable systems, Commun. Math. Phys. 203, no. 2, 465-479 (1999).
    • (1999) Commun. Math. Phys. , vol.203 , Issue.2 , pp. 465-479
    • Vũ Ngoc, S.1
  • 18
    • 0038026787 scopus 로고    scopus 로고
    • Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type
    • _, Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type, Comm. Pure Appl. Math. 53, no. 2, 143-217 (2000).
    • (2000) Comm. Pure Appl. Math. , vol.53 , Issue.2 , pp. 143-217
  • 19
    • 0037050349 scopus 로고    scopus 로고
    • Quantum monodromy in prolate ellipsoidal billiards
    • H. Waalkens and H.R. Dullin, Quantum monodromy in prolate ellipsoidal billiards, Ann. Physics 295, 81-112 (2002).
    • (2002) Ann. Physics , vol.295 , pp. 81-112
    • Waalkens, H.1    Dullin, H.R.2
  • 20
    • 9344225119 scopus 로고    scopus 로고
    • A note on focus-focus singularities
    • Nguyên Tiên Zung, A note on focus-focus singularities, Diff. Geom. Appl. 7, no. 2, 123-130 (1997).
    • (1997) Diff. Geom. Appl. , vol.7 , Issue.2 , pp. 123-130
    • Zung, N.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.