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Volumn 81, Issue 2, 1997, Pages 333-348

Spectral concentration and rapidly decaying potentials

Author keywords

Pr fer transformation; Spectral concentration; Sturm Liouville problems

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS;

EID: 0031559384     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00072-1     Document Type: Article
Times cited : (12)

References (26)
  • 1
    • 0001057738 scopus 로고
    • Titchmarsh-Weyl theory and its relations to scattering theory: Spectral densities and cross sections; Theory and applications
    • E. Brändas, M. Rittby, N. Elander, Titchmarsh-Weyl theory and its relations to scattering theory: Spectral densities and cross sections; Theory and applications, J. Math. Phys. 26 (1985) 2648-2658.
    • (1985) J. Math. Phys. , vol.26 , pp. 2648-2658
    • Brändas, E.1    Rittby, M.2    Elander, N.3
  • 5
    • 0003302473 scopus 로고
    • The asymptotic solution of linear differential systems
    • Clarendon Press, Oxford
    • M.S.P. Eastham, The asymptotic solution of linear differential systems, London Math. Soc. Monographs 4. Clarendon Press, Oxford, 1989.
    • (1989) London Math. Soc. Monographs , vol.4
    • Eastham, M.S.P.1
  • 6
    • 0039111612 scopus 로고
    • The number of resonant states in perturbed harmonic oscillation
    • M.S.P. Eastham, The number of resonant states in perturbed harmonic oscillation, Quart. J. Math. Oxford (2), 42 (1991) 49-55.
    • (1991) Quart. J. Math. Oxford (2) , vol.42 , pp. 49-55
    • Eastham, M.S.P.1
  • 7
    • 85033108818 scopus 로고    scopus 로고
    • The asymptotic nature of spectral functions in Sturm-Liouville problems with continuous spectrum
    • to appear
    • M.S.P. Eastham, The asymptotic nature of spectral functions in Sturm-Liouville problems with continuous spectrum, J. Math. Anal. Appl., to appear.
    • J. Math. Anal. Appl.
    • Eastham, M.S.P.1
  • 8
    • 0030420255 scopus 로고    scopus 로고
    • Using the SLEDGE package on Sturm-Liouville problems having nonempty essential spectrum
    • M.S.P. Eastham, C.T. Fulton, S.A. Pruess, Using the SLEDGE package on Sturm-Liouville problems having nonempty essential spectrum, ACM Trans. Math. Software 22 (4) (1996) 423-446.
    • (1996) ACM Trans. Math. Software , vol.22 , Issue.4 , pp. 423-446
    • Eastham, M.S.P.1    Fulton, C.T.2    Pruess, S.A.3
  • 9
    • 0003245993 scopus 로고
    • Schrödinger-type operators with continuous spectra
    • Pitman, London
    • M.S.P. Eastham, H. Kalf, Schrödinger-type operators with continuous spectra, Research Notes in Mathematics, vol. 65, Pitman, London, 1982.
    • (1982) Research Notes in Mathematics , vol.65
    • Eastham, M.S.P.1    Kalf, H.2
  • 10
    • 0040550500 scopus 로고
    • Resonance regions determined by a projection-operator formulation
    • E. Engdahl, E. Brändas, Resonance regions determined by a projection-operator formulation, Phys. Rev. 37 (1988) 4145-4152.
    • (1988) Phys. Rev. , vol.37 , pp. 4145-4152
    • Engdahl, E.1    Brändas, E.2
  • 11
    • 0040123344 scopus 로고
    • Generalized Green's functions and spectral densities in the complex energy plane
    • E. Engdahl, E. Brändas, M. Rittby, N. Elander, Generalized Green's functions and spectral densities in the complex energy plane, J. Math. Phys. 27 (1986) 2629-2639.
    • (1986) J. Math. Phys. , vol.27 , pp. 2629-2639
    • Engdahl, E.1    Brändas, E.2    Rittby, M.3    Elander, N.4
  • 12
    • 0037654747 scopus 로고
    • Resonances and background: A decomposition of scattering information
    • E. Engdahl, E. Brändas, M. Rittby, N. Elander, Resonances and background: A decomposition of scattering information, Phys. Rev. 37 (1988) 3777-3789.
    • (1988) Phys. Rev. , vol.37 , pp. 3777-3789
    • Engdahl, E.1    Brändas, E.2    Rittby, M.3    Elander, N.4
  • 15
    • 0000164605 scopus 로고
    • The eigenvalue problem for ordinary differential equations of the second order, and Heisenberg's theory of S-matrices
    • K. Kodaira, The eigenvalue problem for ordinary differential equations of the second order, and Heisenberg's theory of S-matrices, Amer. J. Math. 71 (1949) 921-945.
    • (1949) Amer. J. Math. , vol.71 , pp. 921-945
    • Kodaira, K.1
  • 17
    • 0040328130 scopus 로고
    • Spectral concentration I: The one-dimensional Schrödinger operator
    • C.H. Wilcox, (Ed.), Wiley, New York
    • J.B. McLeod, Spectral concentration I: The one-dimensional Schrödinger operator, in: C.H. Wilcox, (Ed.), Perturbation Theory and its Application in Quantum Mechanics, Wiley, New York, 1966.
    • (1966) Perturbation Theory and Its Application in Quantum Mechanics
    • McLeod, J.B.1
  • 18
    • 0027659554 scopus 로고
    • Mathematical software for Sturm-Liouville problems
    • S.A. Pruess, C.T. Fulton, Mathematical software for Sturm-Liouville problems, ACM Trans. Math. Software 19 (1993) 360-376.
    • (1993) ACM Trans. Math. Software , vol.19 , pp. 360-376
    • Pruess, S.A.1    Fulton, C.T.2
  • 20
    • 0042266115 scopus 로고
    • Efficient, reliable computation of resonances of the one-dimensional Schrödinger equation
    • J.D. Pryce, Efficient, reliable computation of resonances of the one-dimensional Schrödinger equation, J. Compt. Phys. 112 (1994) 234-246.
    • (1994) J. Compt. Phys. , vol.112 , pp. 234-246
    • Pryce, J.D.1
  • 21
    • 0003276274 scopus 로고
    • Methods of modern mathematical physics
    • Academic Press, New York
    • M. Reed, B. Simon, Methods of modern mathematical physics, vol. 4, Analysis of operators. Academic Press, New York, 1978.
    • (1978) Analysis of Operators , vol.4
    • Reed, M.1    Simon, B.2
  • 22
    • 0039365266 scopus 로고
    • Weyls theory and the method of complex rotation: A synthesis for a description of the continuous spectrum
    • M. Rittby, N. Elander, E. Brändas, Weyls theory and the method of complex rotation: A synthesis for a description of the continuous spectrum, Molecular Phys. 11 (1982) 1-20.
    • (1982) Molecular Phys. , vol.11 , pp. 1-20
    • Rittby, M.1    Elander, N.2    Brändas, E.3
  • 23
    • 0001363089 scopus 로고
    • Bounded solutions and absolute continuity of Sturm-Liouville operators
    • G. Stolz, Bounded solutions and absolute continuity of Sturm-Liouville operators, J. Math. Anal. Appl. 169 (1992) 210-228.
    • (1992) J. Math. Anal. Appl. , vol.169 , pp. 210-228
    • Stolz, G.1
  • 26
    • 34250688684 scopus 로고
    • Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen
    • H. Weyl, Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen, Math. Ann. 68 (1910) 220-269.
    • (1910) Math. Ann. , vol.68 , pp. 220-269
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.