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Volumn 39, Issue 9, 1998, Pages 4249-4256

On the number of bound states for the one-dimensional Schrödinger equation

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EID: 0032350809     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532510     Document Type: Article
Times cited : (22)

References (14)
  • 1
    • 0039222912 scopus 로고
    • Some remarks on double-wells in one and three dimensions
    • M. Klaus, "Some remarks on double-wells in one and three dimensions," Ann. Inst. Henri Poincaré, Sect. A 34, 405-417 (1981).
    • (1981) Ann. Inst. Henri Poincaré, Sect. A , vol.34 , pp. 405-417
    • Klaus, M.1
  • 2
    • 21344499302 scopus 로고
    • Levinson's theorem, zero-energy resonances, and time delay in one-dimensional scattering systems
    • M. Sassoli de Bianchi, "Levinson's theorem, zero-energy resonances, and time delay in one-dimensional scattering systems," J. Math. Phys. 35, 2719-2733 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 2719-2733
    • Sassoli De Bianchi, M.1
  • 3
    • 21844527516 scopus 로고
    • On the number of bound states by one-dimensional finite periodic potentials
    • M. Sassoli de Bianchi and M. Di Ventra, "On the number of bound states by one-dimensional finite periodic potentials," J. Math. Phys. 36, 1753-1764 (1995).
    • (1995) J. Math. Phys. , vol.36 , pp. 1753-1764
    • Sassoli De Bianchi, M.1    Di Ventra, M.2
  • 4
    • 21144470972 scopus 로고
    • A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension
    • T. Aktosun, "A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension," J. Math. Phys. 33, 3865-3869 (1992).
    • (1992) J. Math. Phys. , vol.33 , pp. 3865-3869
    • Aktosun, T.1
  • 5
    • 0001422524 scopus 로고
    • Properties of the S-matrix of the one-dimensional Schrödinger equation
    • L. D. Faddeev, "Properties of the S-matrix of the one-dimensional Schrödinger equation," Am. Math. Soc. Trans. 2, 139-166 (1964) [Tr. Mat. Inst. Steklova 73, 314-336 (1964) (Russian)].
    • (1964) Am. Math. Soc. Trans. , vol.2 , pp. 139-166
    • Faddeev, L.D.1
  • 6
    • 0000109642 scopus 로고
    • Russian
    • L. D. Faddeev, "Properties of the S-matrix of the one-dimensional Schrödinger equation," Am. Math. Soc. Trans. 2, 139-166 (1964) [Tr. Mat. Inst. Steklova 73, 314-336 (1964) (Russian)].
    • (1964) Tr. Mat. Inst. Steklova , vol.73 , pp. 314-336
  • 10
    • 0032385701 scopus 로고    scopus 로고
    • Wave scattering in one dimension with absorption
    • T. Aktosun, M. Klaus, and C. van der Mee, "Wave scattering in one dimension with absorption," J. Math. Phys. 39, 1957-1992 (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 1957-1992
    • Aktosun, T.1    Klaus, M.2    Van Der Mee, C.3
  • 11
    • 21144460213 scopus 로고
    • On the Riemann-Hilbert problem for the one-dimensional Schrödinger equation
    • T. Aktosun, M. Klaus, and C. van der Mee, "On the Riemann-Hilbert problem for the one-dimensional Schrödinger equation," J. Math. Phys. 34, 2651-2690 (1993).
    • (1993) J. Math. Phys. , vol.34 , pp. 2651-2690
    • Aktosun, T.1    Klaus, M.2    Van Der Mee, C.3
  • 12
    • 36749117589 scopus 로고
    • Inverse scattering. I. One dimension
    • R. G. Newton, "Inverse scattering. I. One dimension," J. Math. Phys. 21, 493-505 (1980).
    • (1980) J. Math. Phys. , vol.21 , pp. 493-505
    • Newton, R.G.1
  • 13
    • 0000959853 scopus 로고
    • Low-energy behaviour of the scattering matrix for the Schrödinger equation on the line
    • M. Klaus, "Low-energy behaviour of the scattering matrix for the Schrödinger equation on the line," Inverse Probl. 4, 505-512 (1988).
    • (1988) Inverse Probl. , vol.4 , pp. 505-512
    • Klaus, M.1
  • 14
    • 0030362938 scopus 로고    scopus 로고
    • Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations
    • T. Aktosun, M. Klaus, and C. van der Mee, "Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations," J. Math. Phys. 37, 5897-5915 (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 5897-5915
    • Aktosun, T.1    Klaus, M.2    Van Der Mee, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.