Keywords
- Spectral Function
- Weak Coupling
- Stark Effect
- Spectral Projector
- Spectral Concentration
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Reference
S. Agmon, Y. Kannai, On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators, Israel J. Math., 5(1967), 1–30.
W. W. Amrein, M. B. Cibils, Global and Eisenbud-Wigner time-delay in scattering theory, Helv. Phys. Acta, 60(1987), 481–500.
M. Ben-Artzi, A. Devinatz, The limiting absorption principle of partial differential operators, Memoirs of AMS, No.364, 1987.
H. L. Cycon, R. G. Froese, W. Kirsch, B. Simon, Schrodinger Operators with Application to Quantum Mechanics and Global Geometry, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1987.
I. W. Herbst, Unitary equivalence of Stark Hamiltonians, Math. Z., 155(1977), 55–70.
J. Howland, Spectral concentration and virtual poles, Amer. J. Math., 55(1969), 1106–1126.
A. Jensen, Scattering theory for Hamiltonians with Stark effect, Ann. Inst. H. Poincaré, 46A(1987), 383–395.
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1976.
R. Lavine, Spectral density and sojourn times, in “Atomic Scattering Theory”, ed. J. Nutlall, Univ. of Western Ontario Pree, London, 1978.
E. Mourre, Absence of singular continuous spectrum of certain self-adjoint operators, Commun. Math. Phys., 78(1981), 391–408.
D. Robert, X. P. Wang, Time-delay and spectral density for Stark Hamiltonians, I. Existence of time-delay operator, Comm. in P.D.E., (14)1989.
D. Robert, X. P. Wang, Time-delay and spectral density for Stark Hamiltonians, II. A trace formula, to appear.
I. M. Sigal, Bounds on resonance states and width of resonances, Adv. Appl. Math., June 1988.
I. M. Sigal, Geometric theory of stark resonances in multielectron systems, Commun. in Math. Phys., 119(1988).
E. C. Titchmarsh, Eigenfunction Expansions Associated with Second Order Differential Equations, II, Oxford Univ. Press, 1958.
K. Veselic, J. Weidmann: Potential scattering in homogeneous electrostatic field, Math. Z., 156(1977), 93–104.
X. P. Wang, Phase space description of time-delay in scattering theory, Commun. in P.D.E., 13(1988), 223–259.
X. P. Wang, Time-delay operator for a class of singular potentials, Helv. Phys. Acta, 60(1987), 501–509.
X. P. Wang, Bounds on widths of resonances for Stark Hamiltonians, Acta Math. Sinica. in press.
X. P. Wang, Resonances for N-body Schrodinger operators with Stark effect, to appear.
X. P. Wang, Asymptotics on widths of Resonances for Stark Hamiltonians, to appear.
X. P. Wang, Semiclassical estimates on resolvent of Schrodinger operators with homogeneous electric field, J. Diff. Equations, 78(1989).
K. Yajima, Spectral and scattering theory for Schrodinger operators with Stark effect, II., J. Fac. Sci. Univ. Tokyo, Sect. A, 28(1981), 1–15.
J. E. Avron, I. W. Herbst, Spectral and scattering theory of Schrodinger operators related to the Stark effect, Commun. Math. Phys., 52(1977), 239–254.
A. Jensen, Precise resolvent estimates for Stark effect Hamiltonians, to appear in Proc. Int. Conf. PDE, Holzhan, April, 1988.
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© 1991 Springer-Verlag
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Wang, XP. (1991). Weak coupling asymptotics of schrodinger operators with stark effect. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087771
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DOI: https://doi.org/10.1007/BFb0087771
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