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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 32, 1976 - Issue 5
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Original Articles

Semiclassical eigenvalues for non-separable bound systems from classical trajectories: The degenerate case

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Pages 1327-1347 | Received 09 Aug 1976, Published online: 23 Aug 2006

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Read on this site (7)

A.J. Duckett & M.S. Child. (1994) Rotating hinge dynamics of CO2HF: classical mechanics and semiclassical quantization. Molecular Physics 83:4, pages 719-740.
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Chen-Shiung Hsue. (1984) Application of a two-step approach to the adiabatic approximation of coupled oscillators. Molecular Physics 53:4, pages 1009-1015.
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Qian Zhi-Ding, Zhang Xing-Guo, Li Xing-Wen, H. Kono & S.H. Lin. (1982) Application of the adiabatic approximation to coupled oscillators. Molecular Physics 47:3, pages 713-719.
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R.T. Lawton & M.S. Child. (1979) Local mode vibrations of water. Molecular Physics 37:6, pages 1799-1807.
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S.M. Colwell & N.C. Handy. (1978) Vibrational energies for triatomic molecules using a semi-classical trajectory method. Molecular Physics 35:4, pages 1183-1190.
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I.C. Percival & N. Pomphrey. (1978) Semiclassical energy levels for linear molecules. Molecular Physics 35:3, pages 649-663.
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Articles from other publishers (94)

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Scott M. Gruenbaum & Roger F. Loring. (2009) Semiclassical nonlinear response functions for coupled anharmonic vibrations. The Journal of Chemical Physics 131:20.
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Jose C. Corchado & Joaquin Espinosa-Garcia. (2009) Product vibrational distributions in polyatomic species based on quasiclassical trajectory calculations. Physical Chemistry Chemical Physics 11:43, pages 10157.
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Asiri Nanayakkara. (2005) Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings. Physics Letters A 334:2-3, pages 144-153.
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Matthew J. Lakin, Diego Troya, George C. Schatz & Lawrence B. Harding. (2003) A quasiclassical trajectory study of the reaction OH+CO→H+CO2. The Journal of Chemical Physics 119:12, pages 5848-5859.
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M. Carioli, E. J. Heller & K. B. Mo/ller. (1997) Intrinsic resonance representation of quantum mechanics. The Journal of Chemical Physics 106:20, pages 8564-8571.
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Juliana Palma & Julián Echave. (1997) An analytical Fourier transform method for semiclassical quantization. Chemical Physics Letters 270:1-2, pages 206-210.
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G. A. Bethardy, Albert F. Wagner, George C. Schatz & Marc A. ter Horst. (1997) A quasiclassical trajectory study of product state distributions from the CN+H2→HCN+H reaction. The Journal of Chemical Physics 106:14, pages 6001-6015.
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B. Nizamov, D. W. Setser, H. Wang, G. H. Peslherbe & W. L. Hase. (1996) Quasiclassical trajectory calculations for the OH( X  2Π) and OD( X  2Π)+HBr reactions: Energy partitioning and rate constants . The Journal of Chemical Physics 105:22, pages 9897-9911.
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Charles W. Eaker & David W. Schwenke. (1995) A fast Fourier transform method for the quasiclassical selection of initial rovibrational states of triatomic molecules. The Journal of Chemical Physics 103:16, pages 6984-6992.
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Kathleen Kudla & George C. Schatz. (1993) Theoretical studies of energy transfer and reaction in H+H2O and H+D2O collisions. The Journal of Chemical Physics 98:6, pages 4644-4651.
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Kathleen Kudla & George C. Schatz. (1992) A quasiclassical trajectory study of bond specific chemistry in the reaction H+HOD→H2+OD, HD+OH. Chemical Physics Letters 193:6, pages 507-511.
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T. Uzer & W.H. Miller. (1991) Theories of intramolecular vibrational energy transfer. Physics Reports 199:2, pages 73-146.
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S. P. Neshyba & N. De Leon. (1989) Projection operator formalism for the characterization of molecular eigenstates: Application to a 3:4 resonant system. The Journal of Chemical Physics 91:12, pages 7772-7779.
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N. De Leon & Manish A. Mehta. (1988) Semiclassical spectral quantization: Molecular energies and eigenfunctions. Computer Physics Reports 8:6, pages 293-318.
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George C. Schatz. (1988) A program for determining primitive semiclassical eigenvalues for vibrating/rotating nonlinear triatomic molecules. Computer Physics Communications 51:1-2, pages 135-147.
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John H. Frederick & Eric J. Heller. (1988) Quantum vibrational eigenstates from classical origins. Computer Physics Communications 51:1-2, pages 83-102.
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B.R. Johnson. (1988) Semiclassical vibrational eigenvalues of H2O and SO2 by the adiabatic switching method. Computer Physics Communications 51:1-2, pages 1-10.
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M.A.M de Aguiar & M Baranger. (1988) Invariant tori for two-dimensional non-integrable Hamiltonians. Annals of Physics 186:2, pages 355-380.
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Manish A. Mehta & N. De Leon. (1988) Semiclassical quantization by circuit counting: Application to SO2. The Journal of Chemical Physics 89:2, pages 882-888.
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A. Garcia-Ayllon, C. C. Martens, J. Santamaria & G. S. Ezra. (1987) Semiclassical vibrational energies and transition frequencies for a Hamiltonian with stretch–bend potential energy coupling: Application of Fourier methods. The Journal of Chemical Physics 87:11, pages 6609-6617.
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John H. Frederick & Eric J. Heller. (1987) Multidimensional quantum eigenstates from the semiclassical dynamical basis set. The Journal of Chemical Physics 87:11, pages 6592-6608.
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John E. Adams. (1987) Temperature effects on the vibration–rotation spectrum of a physisorbed diatomic. The Journal of Chemical Physics 87:8, pages 4249-4255.
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S. P. Neshyba & N. De Leon. (1987) Classical resonances, Fermi resonances, and canonical transformations for three nonlinearly coupled oscillators. The Journal of Chemical Physics 86:11, pages 6295-6308.
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B. R. Johnson. (1987) Semiclassical vibrational eigenvalues of H+3, D+3, and T+3 by the adiabatic switching method. The Journal of Chemical Physics 86:3, pages 1445-1450.
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Craig C. Martens & Gregory S. Ezra. (1987) Classical and semiclassical mechanics of strongly resonant systems: A Fourier transform approach. The Journal of Chemical Physics 86:1, pages 279-307.
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Michael E. Kellman & Eric D. Lynch. (1986) Algebraic resonance quantization of coupled anharmonic oscillators. The Journal of Chemical Physics 85:10, pages 5855-5869.
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David T. Chuljian, Judy Ozment & Jack Simons. (1986) Application of spectral quantization to metastable states of C  1 A ′DCN . The Journal of Chemical Physics 85:10, pages 5826-5837.
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John H. Frederick. (1986) Uniform semiclassical quantization of multi-dimensional systems: application to vibration-rotation eigenvalues. Chemical Physics Letters 131:1-2, pages 60-64.
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D. W. Noid & R. A. Marcus. (1986) Semiclassical calculation of eigenvalues for higher order resonances in nonseparable oscillator systems. The Journal of Chemical Physics 85:6, pages 3305-3312.
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Josef W. Zwanziger, Edward R. Grant & Gregory S. Ezra. (1986) Semiclassical quantization of a classical analog for the Jahn–Teller E × e system . The Journal of Chemical Physics 85:4, pages 2089-2098.
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William H. Miller. (1986) Semiclassical Methods in Chemical Physics. Science 233:4760, pages 171-177.
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John H. Frederick & Gary M. McClelland. (1986) Semiclassical quantization of the vibration-rotation problem. The Journal of Chemical Physics 84:2, pages 876-890.
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Chris W. Patterson. (1985) Quantum and semiclassical description of a triply degenerate anharmonic oscillator. The Journal of Chemical Physics 83:9, pages 4618-4632.
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Craig C. Martens & Gregory S. Ezra. (1985) EBK quantization of nonseparable systems: A Fourier transform method. The Journal of Chemical Physics 83:6, pages 2990-3001.
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J.W. Zwanziger, R.L. Whetten, G.S. Ezra & E.R. Grant. (1985) Semiclassical eigenvalues for a non-adiabatic system. Chemical Physics Letters 120:1, pages 106-112.
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B. R. Johnson. (1985) On the adiabatic invariance method of calculating semiclassical eigenvalues. The Journal of Chemical Physics 83:3, pages 1204-1217.
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Jenn-Kang Hwang & Arieh Warshel. (1985) A shortcut for multidimensional quantization. The average partial actions method. Chemical Physics Letters 118:3, pages 289-292.
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Robert C. Brown & Robert E. Wyatt. (1985) Vibrational resonances and IR multiphoton excitation. The Journal of Chemical Physics 82:11, pages 4777-4787.
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Shigeki Kato. (1985) Intramolecular dynamics of the unimolecular dissociation of CS2: Analysis of the classical phase space structure. The Journal of Chemical Physics 82:7, pages 3020-3031.
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Kandadai N. Swamy & William L. Hase. (1985) Semiclassical eigenvalues of a three-dimensional Hamiltonian with one arbitrary trajectory. Chemical Physics Letters 114:3, pages 248-252.
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R. A. Satten, C. L. Schreiber & E. Y. Wong. (1985) Erratum: Vibronic intensity parametrization for the UCl2−6 complex in crystals [J. Chem. Phys. 78 , 79 (1983)] . The Journal of Chemical Physics 82:1, pages 598-598.
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Gabriel Hose & Howard S. Taylor. (1985) Comment on ‘‘Quasiperiodic quantum states’’. The Journal of Chemical Physics 82:1, pages 597-598.
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William H. MILLER. 1985. Semiclassical Descriptions of Atomic and Nuclear Collisions. Semiclassical Descriptions of Atomic and Nuclear Collisions 9 26 .
N. De Leon & E. J. Heller. (1984) Semiclassical spectral quantization: Application to two and four coupled molecular degrees of freedom. The Journal of Chemical Physics 81:12, pages 5957-5975.
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R.M. Roth & Mark A. Ratner. (1984) Adiabatic and self-consistent-field approximations for coupled vibrations: A simple two-mode comparison. Chemical Physics Letters 112:4, pages 322-327.
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R. K. Nesbet. (1984) Computation of action integrals for nonseparable classical dynamical systems. The Journal of Chemical Physics 81:10, pages 4421-4425.
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William H. Miller. (1984) Calculation of semiclassical eigenvalues with one arbitrary trajectory. The Journal of Chemical Physics 81:8, pages 3573-3575.
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C. C. Marston & Robert E. Wyatt. (1984) Semiclassical theory of resonances in 3 D chemical reactions. I. Resonant periodic orbits for F+H2 . The Journal of Chemical Physics 81:4, pages 1819-1824.
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N. De Leon, M. J. Davis & E. J. Heller. (1984) Quantum manifestations of classical resonance zones. The Journal of Chemical Physics 80:2, pages 794-799.
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E. Caurier, S. Drożdż & M. Płoszajczak. (1984) The gauge-invariant quantization method for multidimensional Hamilton systems. Physics Letters B 134:1-2, pages 1-6.
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T. Uzer, D. W. Noid & R. A. Marcus. (1983) Uniform semiclassical theory of avoided crossings. The Journal of Chemical Physics 79:9, pages 4412-4425.
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Robert E. Wyatt, Gabriel Hose & Howard S. Taylor. (1983) Mode-selective multiphoton excitation in a model system. Physical Review A 28:2, pages 815-828.
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