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Volumn 34, Issue 18, 2001, Pages 3897-3925

Dynamical diffraction in sinusoidal potentials: Uniform approximations for Mathieu functions

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EID: 0035844111     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/18/316     Document Type: Article
Times cited : (19)

References (30)
  • 3
    • 0034724482 scopus 로고    scopus 로고
    • Exponentially improved asymptotic expansions for resonances of an elliptic cylinder
    • Ancey S, Folacci A and Gabrielli P 2000 Exponentially improved asymptotic expansions for resonances of an elliptic cylinder J. Phys. A: Math. Gen. 33 3179-208
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 3179-3208
    • Ancey, S.1    Folacci, A.2    Gabrielli, P.3
  • 5
    • 0013590407 scopus 로고
    • Diffraction in crystals at high energies
    • _ 1971 Diffraction in crystals at high energies J. Phys. C: Solid State Phys. 4 697-722
    • (1971) J. Phys. C: Solid State Phys. , vol.4 , pp. 697-722
  • 6
    • 0011282544 scopus 로고
    • session XXXV ed R Balian et al (Amsterdam: North-Holland)
    • _ 1981 Les Houches Lecture Series session XXXV ed R Balian et al (Amsterdam: North-Holland) pp 455-541
    • (1981) Les Houches Lecture Series , pp. 455-541
  • 7
    • 33744584849 scopus 로고
    • Semiclassical approximations in wave mechanics
    • Berry M V and Mount K E 1972 Semiclassical approximations in wave mechanics Rep. Prog. Phys. 35 315-97
    • (1972) Rep. Prog. Phys. , vol.35 , pp. 315-397
    • Berry, M.V.1    Mount, K.E.2
  • 8
    • 0032570471 scopus 로고    scopus 로고
    • Diffraction by volume gratings with imaginary potentials
    • Berry M V and O'Dell D H J 1998 Diffraction by volume gratings with imaginary potentials J. Phys. A: Math. Gen. 31 2093-101
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 2093-2101
    • Berry, M.V.1    O'Dell, D.H.J.2
  • 9
    • 0033553295 scopus 로고    scopus 로고
    • Ergodicity in wave-wave diffraction
    • _ 1999 Ergodicity in wave-wave diffraction J. Phys. A: Math. Gen. 32 3571-82
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 3571-3582
  • 12
    • 0001511248 scopus 로고
    • Eigenvalues of the Schrödinger equation for a periodic potential with nonperiodic boundary conditions: A uniform semiclassical analysis
    • Connor J N L, Uzer T, Marcus R A and Smith A D 1984 Eigenvalues of the Schrödinger equation for a periodic potential with nonperiodic boundary conditions: A uniform semiclassical analysis J. Chem. Phys. 80 5095-106
    • (1984) J. Chem. Phys. , vol.80 , pp. 5095-5106
    • Connor, J.N.L.1    Uzer, T.2    Marcus, R.A.3    Smith, A.D.4
  • 13
    • 0039613435 scopus 로고
    • The method of comparison equations in the solution of linear second-order differential equations (generalized W.K.B. method)
    • Dingle R B 1956 The method of comparison equations in the solution of linear second-order differential equations (generalized W.K.B. method) Appl. Sci. Res. B 5 345-67
    • (1956) Appl. Sci. Res. B , vol.5 , pp. 345-367
    • Dingle, R.B.1
  • 14
    • 0000446068 scopus 로고
    • WKB methods for difference equations I
    • Dingle R B and Morgan G J 1967a WKB methods for difference equations I Appl. Sci. Res. 18 221-37
    • (1967) Appl. Sci. Res. , vol.18 , pp. 221-237
    • Dingle, R.B.1    Morgan, G.J.2
  • 15
    • 0012915209 scopus 로고
    • WKB methods for difference equations II
    • _ 1967b WKB methods for difference equations II Appl. Sci. Res. 18 238-45
    • (1967) Appl. Sci. Res. , vol.18 , pp. 238-245
  • 16
    • 24044529096 scopus 로고
    • Diffraction of atoms by light: The near-resonant Kapitza-Dirac effect
    • Gould P L, Ruff G A and Pritchard D E 1986 Diffraction of atoms by light: the near-resonant Kapitza-Dirac effect Phys. Rev. Lett. 56 827-30
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 827-830
    • Gould, P.L.1    Ruff, G.A.2    Pritchard, D.E.3
  • 19
    • 36149009714 scopus 로고
    • On the connection formulas and the solutions of the wave equation
    • Langer R E 1937 On the connection formulas and the solutions of the wave equation Phys. Rev. 51 669-76
    • (1937) Phys. Rev. , vol.51 , pp. 669-676
    • Langer, R.E.1
  • 20
    • 0000774673 scopus 로고
    • A WKB-type approximation to the Schrödinger equation
    • Miller S C and Good R H Jr 1953 A WKB-type approximation to the Schrödinger equation Phys. Rev. 91 174-9
    • (1953) Phys. Rev. , vol.91 , pp. 174-179
    • Miller, S.C.1    Good R.H., Jr.2
  • 23
    • 0000872001 scopus 로고
    • The asymptotic solutions of linear differential equations of the second order for large values of a parameter
    • Olver F W J 1954 The asymptotic solutions of linear differential equations of the second order for large values of a parameter Phil. Trans. R. Soc. A 247 307-27
    • (1954) Phil. Trans. R. Soc. A , vol.247 , pp. 307-327
    • Olver, F.W.J.1
  • 24
    • 0042758387 scopus 로고
    • The diffraction of light by high frequency sound waves: Part 1
    • Raman C V and Nagendra Nath N S 1935 The diffraction of light by high frequency sound waves: part 1 Proc. Indian Acad. Sci. A 2 406-12
    • (1935) Proc. Indian Acad. Sci. A , vol.2 , pp. 406-412
    • Raman, C.V.1    Nagendra Nath, N.S.2
  • 25
    • 0000844296 scopus 로고
    • The diffraction of light by high frequency sound waves: Part 4
    • _ 1936 The diffraction of light by high frequency sound waves: part 4 Proc. Indian Acad. Sci. A 3 119-25
    • (1936) Proc. Indian Acad. Sci. A , vol.3 , pp. 119-125
  • 28
    • 0031558090 scopus 로고    scopus 로고
    • Semiclassical transition from an elliptic to an oval billiard
    • Sieber M 1997 Semiclassical transition from an elliptic to an oval billiard J. Phys. A: Math. Gen. 30 4563-96
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 4563-4596
    • Sieber, M.1
  • 30
    • 0039613434 scopus 로고    scopus 로고
    • Private communication
    • Yakovlev V P 1997 Private communication
    • (1997)
    • Yakovlev, V.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.