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Volumn 177, Issue 1, 1996, Pages 221-254

Semiclassical study of quantum scattering on the line

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EID: 0030525445     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02102437     Document Type: Article
Times cited : (54)

References (25)
  • 1
    • 84974004369 scopus 로고
    • Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials
    • Agmon, S., Klein, M.:Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials., Duke Mathematical Journal, 68 (2), 337-399 (1992)
    • (1992) Duke Mathematical Journal , vol.68 , Issue.2 , pp. 337-399
    • Agmon, S.1    Klein, M.2
  • 2
    • 0039178518 scopus 로고
    • An elementary model of dynamical tunneling. Differential equations with applications to mathematical physics
    • Boston, MA: Academic Press
    • Asch, J., Duclos, P.: An elementary model of dynamical tunneling. Differential equations with applications to mathematical physics, Mathematical Science Engineering 192, Boston, MA: Academic Press, pp. 1-11 (1993)
    • (1993) Mathematical Science Engineering , vol.192 , pp. 1-11
    • Asch, J.1    Duclos, P.2
  • 3
    • 84949331292 scopus 로고
    • On the location of resonances for Schrödinger operators in the semiclassical limit II: Barrier top resonances
    • Briet, P., Combes, J.-M., Duclos, P.: On the location of resonances for Schrödinger operators in the semiclassical limit II: Barrier top resonances. Comm. in Partial Differential Equations, 12 (2), 201-222 (1987)
    • (1987) Comm. in Partial Differential Equations , vol.12 , Issue.2 , pp. 201-222
    • Briet, P.1    Combes, J.-M.2    Duclos, P.3
  • 5
    • 0007247106 scopus 로고
    • F.B.I, transformation
    • Berlin, Heidelberg, New York: Springer
    • Delort, J.-M.: F.B.I, transformation. Lecture Notes in Maths 1522, Berlin, Heidelberg, New York: Springer, 1993
    • (1993) Lecture Notes in Maths , vol.1522
    • Delort, J.-M.1
  • 6
  • 7
    • 0039178494 scopus 로고
    • Asymptotic behavior as λ → ∞ of the solution of the equation ″(z) -p(z, λ)w(Z) = 0 in the complex z-plane
    • Fedoryuk, M.V.: Asymptotic behavior as λ → ∞ of the solution of the equation ″(z) -p(z, λ)w(Z) = 0 in the complex z-plane. Russ. Math. Surv., 21, 1-48 (1966)
    • (1966) Russ. Math. Surv. , vol.21 , pp. 1-48
    • Fedoryuk, M.V.1
  • 8
    • 0039178478 scopus 로고
    • One-dimensional scattering in the quasiclassical approximation
    • Fedoryuk, M.V.: One-dimensional scattering in the quasiclassical approximation. Differential Equations 1, 483-495, 1201-1210 (1965)
    • (1965) Differential Equations , vol.1 , pp. 483-495
    • Fedoryuk, M.V.1
  • 10
    • 0012187497 scopus 로고
    • Precise estimates of tunneling and eigenvalues near a potential barrier
    • Gérard, C., Grigis, A.: Precise estimates of tunneling and eigenvalues near a potential barrier., J. Differ. Eqs. 42, 149-177 (1988)
    • (1988) J. Differ. Eqs. , vol.42 , pp. 149-177
    • Gérard, C.1    Grigis, A.2
  • 11
    • 0000466619 scopus 로고
    • Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill
    • Grigis, A.: Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill., Ann. Sc. Ecole Normale Supérieure, 4-ième série, 20, 641-672 (1987)
    • (1987) Ann. Sc. Ecole Normale Supérieure, 4-ième Série , vol.20 , pp. 641-672
    • Grigis, A.1
  • 14
    • 0001178462 scopus 로고
    • The analysis of linear partial differential operators I
    • Berlin, Heidelberg. New York: Springer
    • Hörmander, L.: The analysis of linear partial differential operators I. Grundlhercn der mathematishen Wissenschaften 256, Berlin, Heidelberg. New York: Springer, 1985.
    • (1985) Grundlhercn der Mathematishen Wissenschaften , vol.256
    • Hörmander, L.1
  • 15
    • 84976097179 scopus 로고
    • On the use of asymptotic approximations of Green's type when the coefficients has zeros
    • Jeffreys, H.:On the use of asymptotic approximations of Green's type when the coefficients has zeros. Proc. Cambridge Philos, Soc. 52, 61-66 (1956)
    • (1956) Proc. Cambridge Philos, Soc. , vol.52 , pp. 61-66
    • Jeffreys, H.1
  • 16
    • 36149009714 scopus 로고
    • On the connection formulas and the solutions of the wave equation
    • Langer, R.E.:On the connection formulas and the solutions of the wave equation. Phys. Rev. 51, 669-676 (1937)
    • (1937) Phys. Rev. , vol.51 , pp. 669-676
    • Langer, R.E.1
  • 17
    • 84974743838 scopus 로고
    • Spectral asymptotics for Hill's equation near the potential maximum
    • März, C.: Spectral asymptotics for Hill's equation near the potential maximum. Asymptotic Analysis 5, 221-267 (1992)
    • (1992) Asymptotic Analysis , vol.5 , pp. 221-267
    • März, C.1
  • 18
    • 0009782418 scopus 로고
    • Tunneling effects in momentum space and scattering
    • Spectral and Scattering Theory, ed. M. Ikawa, New York: Marcel Decker
    • Nakamura, S.:Tunneling effects in momentum space and scattering. Lecture Notes in Pure Appl. Math. 161 (Spectral and Scattering Theory, ed. M. Ikawa), New York: Marcel Decker, 1994
    • (1994) Lecture Notes in Pure Appl. Math. , vol.161
    • Nakamura, S.1
  • 19
    • 0040956033 scopus 로고
    • Error analysis of phase-integral methods II. Application to wave penetration problems
    • Olver, F.W.J.:Error analysis of phase-integral methods II. Application to wave penetration problems. J. Res. Nat. Bur. Standards, Sect.B69, 291-300 (1965)
    • (1965) J. Res. Nat. Bur. Standards , vol.SECT.B69 , pp. 291-300
    • Olver, F.W.J.1
  • 21
    • 0011365582 scopus 로고
    • Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe
    • Ramond, T.: Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe. Bull. Soc. Math. France, 121, 403-444 (1993)
    • (1993) Bull. Soc. Math. France , vol.121 , pp. 403-444
    • Ramond, T.1
  • 22
    • 0005546811 scopus 로고
    • Semiclassical resonances generated by non-degenerate critical points
    • Berlin, Heidelberg, New York: Springer
    • Sjöstrand, J.: Semiclassical resonances generated by non-degenerate critical points. Lecture Notes in Maths 1256, Berlin, Heidelberg, New York: Springer, 1987 , pp.402-429
    • (1987) Lecture Notes in Maths , vol.1256 , pp. 402-429
    • Sjöstrand, J.1
  • 23
    • 0002433882 scopus 로고
    • Singularités analytiques microlocales
    • Sjöstrand, J.: Singularités analytiques microlocales, Astérisque 95 (1982)
    • (1982) Astérisque , vol.95
    • Sjöstrand, J.1
  • 24
    • 26744436971 scopus 로고
    • Density of states oscillations for magnetic Schrödinger operators
    • Proceedings of the International Conference at Birmingham (Al), USA, 1990, Boston, MA: Academic Press
    • Sjöstrand, J.: Density of states oscillations for magnetic Schrödinger operators. Proceedings of the International Conference at Birmingham (Al), USA, 1990, Mathematical Science Engineering 186, Boston, MA: Academic Press, pp.295-345 (1992)
    • (1992) Mathematical Science Engineering , vol.186 , pp. 295-345
    • Sjöstrand, J.1
  • 25
    • 0002918976 scopus 로고
    • The return of the Quartic Oscillator. The complex WKB method
    • Voros, A.:The Return of the Quartic Oscillator. The Complex WKB Method. Ann. Inst. H. Poincaré Phys. Théor., 39(3) (1983)
    • (1983) Ann. Inst. H. Poincaré Phys. Théor. , vol.39 , Issue.3
    • Voros, A.1


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