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Volumn 102, Issue 3-4, 2001, Pages 1029-1047

Functional relations in Stokes multipliers - Fun with x6+αx2 potential

Author keywords

Fusion hierarchy; Nonlinear integral equations; Spectral determinants; Stokes multipliers

Indexed keywords


EID: 0035534218     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004823608260     Document Type: Article
Times cited : (37)

References (36)
  • 1
    • 0002918976 scopus 로고
    • The return of the quartic oscillator
    • A. Voros, The return of the quartic oscillator, Ann. Inst. H. Poincare A 39:211-338 (1983).
    • (1983) Ann. Inst. H. Poincare A , vol.39 , pp. 211-338
    • Voros, A.1
  • 2
    • 0000390953 scopus 로고
    • Spectral zeta functions
    • A. Voros, Spectral Zeta functions, Adv. Stud. Pure. Math. 21:327-358 (1992).
    • (1992) Adv. Stud. Pure. Math. , vol.21 , pp. 327-358
    • Voros, A.1
  • 3
    • 21344497302 scopus 로고
    • Exact quantization condition for anharmonic oscillators (in one dimension)
    • A. Voros, Exact quantization condition for anharmonic oscillators (in one dimension), J. Phys. A 27:4653-4661 (1994).
    • (1994) J. Phys. A , vol.27 , pp. 4653-4661
    • Voros, A.1
  • 4
    • 0007161796 scopus 로고    scopus 로고
    • Exact anharmonic quantization condition (in one dimension)
    • J. Rauch and B. Simon, eds., IMA Series Springer
    • A. Voros, Exact anharmonic quantization condition (in one dimension), in Quasiclassical Method (IMA Proceedings, Minneapolis, 1995), J. Rauch and B. Simon, eds., IMA Series 95 (Springer, 1997), pp. 189-224.
    • (1997) Quasiclassical Method (IMA Proceedings, Minneapolis, 1995) , vol.95 , pp. 189-224
    • Voros, A.1
  • 5
    • 0033582403 scopus 로고    scopus 로고
    • Airy function (exact WKB result for potentials of odd degree)
    • A. Voros, Airy function (exact WKB result for potentials of odd degree), J. Phys. A 32:1301-1311 (1999).
    • (1999) J. Phys. A , vol.32 , pp. 1301-1311
    • Voros, A.1
  • 6
    • 0033551649 scopus 로고    scopus 로고
    • Exact resolution method for general ID polynomial schrödinger equation
    • A. Voros, Exact resolution method for general ID polynomial Schrödinger equation, J. Phys. A 32:5993-6007 (1999).
    • (1999) J. Phys. A , vol.32 , pp. 5993-6007
    • Voros, A.1
  • 7
    • 0007305016 scopus 로고    scopus 로고
    • Exact quantization method for the polynomial ID Schrödinger equation
    • T. Kawai et al., eds. Proceedings, Kyoto, to be published by Kyoto University Press
    • A. Voros, Exact quantization method for the polynomial ID Schrödinger equation, in Toward the Exact WKB Analysis of Differential Equations, Linear or Non-Linear. T. Kawai et al., eds. (Proceedings, Kyoto, 1998), to be published by Kyoto University Press.
    • (1998) Toward the Exact WKB Analysis of Differential Equations, Linear or Non-Linear
    • Voros, A.1
  • 9
    • 0033600680 scopus 로고    scopus 로고
    • Anharmonic oscillators, the thermodynamic Bethe ansatz. and nonlinear integral equations
    • (hep-th 9812211)
    • P. Dorey and R. Tateo, Anharmonic oscillators, the thermodynamic Bethe ansatz. and nonlinear integral equations, J. Phys. A 32:L419-L426 (1999) (hep-th 9812211).
    • (1999) J. Phys. A , vol.32
    • Dorey, P.1    Tateo, R.2
  • 10
    • 0033590228 scopus 로고    scopus 로고
    • On the relation between Stokes multipliers and the T Q systems of conformal field theory
    • (hep-th 9906219)
    • P. Dorey and R. Tateo, On the relation between Stokes multipliers and the T Q systems of conformal field theory, Nucl. Phys. B 563:573-602 (1999) (hep-th 9906219).
    • (1999) Nucl. Phys. B , vol.563 , pp. 573-602
    • Dorey, P.1    Tateo, R.2
  • 12
    • 0040714283 scopus 로고    scopus 로고
    • 2)
    • hep-th 9902053
    • 2), J. Phys. A 32:L183-L188 (1999) (hep-th 9902053).
    • (1999) J. Phys. A , vol.32
    • Suzuki, J.1
  • 13
    • 0003421506 scopus 로고
    • Global theory of second order linear ordinary differential operator with a polynomial coefficient
    • North-Holland, See Chapter 5, especially Eq. (27.6)
    • V. Sibuya, Global Theory of Second Order Linear Ordinary Differential Operator with a Polynomial Coefficient, Mathematics Studies 18 (North-Holland, 1975). See Chapter 5, especially Eq. (27.6).
    • (1975) Mathematics Studies , vol.18
    • Sibuya, V.1
  • 15
    • 0030543712 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
    • V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz. Comm. Math. Phys. 177:381-398 (1997).
    • (1997) Comm. Math. Phys. , vol.177 , pp. 381-398
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 16
    • 0034629591 scopus 로고    scopus 로고
    • Differential equations and integrable models: SU(3) case
    • hep-th 9910102
    • P. Dorey and R. Tateo, Differential equations and integrable models: SU(3) case. Nucl. Phys. B 571:583-606 (2000) (hep-th 9910102).
    • (2000) Nucl. Phys. B , vol.571 , pp. 583-606
    • Dorey, P.1    Tateo, R.2
  • 17
    • 0039013807 scopus 로고    scopus 로고
    • n)
    • hep-th 9910215
    • n). J. Phys. A 33:3507-3521 (2000) (hep-th 9910215).
    • (2000) J. Phys. A , vol.33 , pp. 3507-3521
    • Suzuki, J.1
  • 19
    • 33751275929 scopus 로고
    • Conformal weights of RSOS lattice models and their fusion hierarchies
    • A. Klümper and P. A. Pearce, Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A 183:304-350 (1992).
    • (1992) Physica A , vol.183 , pp. 304-350
    • Klümper, A.1    Pearce, P.A.2
  • 20
    • 33751272621 scopus 로고
    • Central charges of the 6-and 19-vertex models with twisted boundary conditions
    • A. Klümper, M. T. Batchelor, and P. A. Pearce. Central charges of the 6-and 19-vertex models with twisted boundary conditions, J. Phys. A 24:3111-3133 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 3111-3133
    • Klümper, A.1    Batchelor, M.T.2    Pearce, P.A.3
  • 21
    • 0000159493 scopus 로고
    • New thermodynamic Bethe ansatz equations without strings
    • C. Destri and H. J. de Vega, New thermodynamic Bethe ansatz equations without strings. Phys. Rev. Lett. 69:2313-2317 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2313-2317
    • Destri, C.1    De Vega, H.J.2
  • 22
    • 84990149333 scopus 로고
    • Free energy and correlation lengths of quantum chains related to restricted solid-on-solid lattice models
    • A. Klümper, Free energy and correlation lengths of quantum chains related to restricted solid-on-solid lattice models, Ann. Physik 1:540 (1992).
    • (1992) Ann. Physik , vol.1 , pp. 540
    • Klümper, A.1
  • 23
    • 0031549912 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory H, Q-operator and DDV equation
    • V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Integrable structure of conformal field theory H, Q-operator and DDV equation. Comm. Math. Phys. 190:247 (1997).
    • (1997) Comm. Math. Phys. , vol.190 , pp. 247
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 24
    • 0031557519 scopus 로고    scopus 로고
    • Integrable quantum field theories in finite volume: Excited state energies
    • V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Integrable quantum field theories in finite volume: excited state energies. Nucl. Phys. B 489:487-532 (1997).
    • (1997) Nucl. Phys. B , vol.489 , pp. 487-532
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 25
    • 0031562346 scopus 로고    scopus 로고
    • Exact thermodynamics and Luttinger liquid properties of the integrable t - J model
    • G. Jüttner, A. Klümper, and J. Suzuki, Exact thermodynamics and Luttinger liquid properties of the integrable t - J model. Nucl. Phys. B 486:650-674 (1997).
    • (1997) Nucl. Phys. B , vol.486 , pp. 650-674
    • Jüttner, G.1    Klümper, A.2    Suzuki, J.3
  • 26
    • 0032490485 scopus 로고    scopus 로고
    • The Hubbard chain at finite temperatures: Ab-initio calculations of Tomonaga-Luttinger liquid properties
    • G. Jüttner, A. Klümper, and J. Suzuki, The Hubbard chain at finite temperatures: ab-initio calculations of Tomonaga-Luttinger liquid properties, Nucl. Phys. B 522:471-502 (1998).
    • (1998) Nucl. Phys. B , vol.522 , pp. 471-502
    • Jüttner, G.1    Klümper, A.2    Suzuki, J.3
  • 27
    • 0039937610 scopus 로고    scopus 로고
    • Spinons in magnetic chains of arbitrary spins at finite temperatures
    • J. Suuki, Spinons in magnetic chains of arbitrary spins at finite temperatures. J. Phys. A 32:2341-2359 (1999).
    • (1999) J. Phys. A , vol.32 , pp. 2341-2359
    • Suuki, J.1
  • 28
    • 0001092170 scopus 로고
    • New families of commuting transfer matrices in q-state vertex models
    • J. H. H. Perk and C. Schulz, New families of commuting transfer matrices in q-state vertex models. Phys. Lett. A 84:407-410 (1981).
    • (1981) Phys. Lett. A , vol.84 , pp. 407-410
    • Perk, J.H.H.1    Schulz, C.2
  • 29
    • 0001547861 scopus 로고
    • Solvable q-state models in lattice statistics and quantum field theory
    • C. L. Schulz, Solvable q-state models in lattice statistics and quantum field theory, Phys. Rev. Lett. 46:629-633 (1981).
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 629-633
    • Schulz, C.L.1
  • 30
    • 0001810789 scopus 로고
    • Eigenvectors of the multi-component generalization of the six-vertex model
    • C. L. Schulz, Eigenvectors of the multi-component generalization of the six-vertex model, Physica A 122:71-88 (1983).
    • (1983) Physica A , vol.122 , pp. 71-88
    • Schulz, C.L.1
  • 31
    • 0002251610 scopus 로고
    • On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients
    • P-F Hsieh and Y. Sibuya, On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. Math. Analysis and Applications 16:84-103 (1966).
    • (1966) J. Math. Analysis and Applications , vol.16 , pp. 84-103
    • Hsieh, P.-F.1    Sibuya, Y.2
  • 32
    • 0032559515 scopus 로고    scopus 로고
    • From fusion hierarchy to excited state TBA
    • G. Jüttner, A. Klümper, and J. Suzuki, From fusion hierarchy to excited state TBA, Nucl. Phys. B 512:581-600 (1998).
    • (1998) Nucl. Phys. B , vol.512 , pp. 581-600
    • Jüttner, G.1    Klümper, A.2    Suzuki, J.3
  • 33
    • 0033532441 scopus 로고    scopus 로고
    • On non-equilibrium states in QFT model with boundary interaction
    • V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, On non-equilibrium states in QFT model with boundary interaction, Nucl. Phys. B 5489:529-545 (1999).
    • (1999) Nucl. Phys. B , vol.5489 , pp. 529-545
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 34
    • 0038929403 scopus 로고    scopus 로고
    • Exactly solvable hydrogen-like potentials and the factorization methodm
    • J. Oscar Rosas-Ortiz, Exactly solvable hydrogen-like potentials and the factorization methodm, J. Phys. A 31:10163-10179 (1998).
    • (1998) J. Phys. A , vol.31 , pp. 10163-10179
    • Rosas-Ortiz, J.O.1
  • 35
    • 0042636867 scopus 로고    scopus 로고
    • Schrödinger operators with complex potential but real spectrum
    • F. Cannata, G. Junker, and J. Trost, Schrödinger operators with complex potential but real spectrum, Phys. Lett. A 246:219-226 (1998). See also discussion. on quasi-solvable sextic potentials, B. Bagchi, F. Cannata, C. Quesne, PT-symmetric sextic potentials, Phys. Lett. A 269:79-82 (2000) (quant-ph/0003085).
    • (1998) Phys. Lett. A , vol.246 , pp. 219-226
    • Cannata, F.1    Junker, G.2    Trost, J.3
  • 36
    • 0001920795 scopus 로고    scopus 로고
    • PT-symmetric sextic potentials
    • quant-ph/0003085
    • F. Cannata, G. Junker, and J. Trost, Schrödinger operators with complex potential but real spectrum, Phys. Lett. A 246:219-226 (1998). See also discussion. on quasi-solvable sextic potentials, B. Bagchi, F. Cannata, C. Quesne, PT-symmetric sextic potentials, Phys. Lett. A 269:79-82 (2000) (quant-ph/0003085).
    • (2000) Phys. Lett. A , vol.269 , pp. 79-82
    • Bagchi, B.1    Cannata, F.2    Quesne, C.3


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