Spectral Analysis of a Complex Schrödinger Operator in the Semiclassical Limit

SIAM Journal on Mathematical Analysis ◽

10.1137/15m1047222 ◽

2016 ◽

Vol 48 (4) ◽

pp. 2962-2993 ◽

Author(s):

Yaniv Almog ◽

Raphaël Henry

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Semiclassical Limit ◽

Schrodinger Operator

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The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit

Mémoires de la Société mathématique de France ◽

10.24033/msmf.474 ◽

2020 ◽

Vol 166 ◽

pp. 1-94

Author(s):

Bernard Helffer ◽

Yaniv Almog

Keyword(s):

Schrödinger Operator ◽

Semiclassical Limit ◽

Schrodinger Operator

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Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00633-x ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

Yuri A. Kordyukov

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Symplectic Manifolds ◽

Schrodinger Operator ◽

Bounded Geometry

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Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential

Journal of Mathematical Physics ◽

10.1063/5.0009273 ◽

2020 ◽

Vol 61 (6) ◽

pp. 063508

Author(s):

O. A. Veliev

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Optical Potential ◽

Schrodinger Operator

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Analytic criteria in the qualitative spectral analysis of the Schrödinger operator

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday - Proceedings of Symposia in Pure Mathematics ◽

10.1090/pspum/076.1/2310207 ◽

2007 ◽

pp. 257-288 ◽

Author(s):

Vladimir Maz′ya

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Schrodinger Operator

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Asymptotic Dynamics and Spectral Analysis for Schrödinger Operator with Weakly Accelerated Potential

Procedia Technology ◽

10.1016/j.protcy.2015.02.115 ◽

2015 ◽

Vol 19 ◽

pp. 802-809 ◽

Author(s):

Gordana Jelić

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Asymptotic Dynamics

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Spectral Analysis of a Dissipative Singular Schrödinger Operator in Terms of a Functional Model

Partial Differential Equations VIII - Encyclopaedia of Mathematical Sciences ◽

10.1007/978-3-642-48944-0_2 ◽

1996 ◽

pp. 87-153 ◽

Author(s):

B. S. Pavlov

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Functional Model ◽

Schrodinger Operator

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Spectral analysis of the Schrödinger operator on binary tree-shaped networks and applications

Journal of Differential Equations ◽

10.1016/j.jde.2015.08.017 ◽

2015 ◽

Vol 259 (12) ◽

pp. 6923-6959 ◽

Author(s):

Kaïs Ammari ◽

Denis Mercier ◽

Virginie Régnier

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Binary Tree ◽

Schrodinger Operator

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Semiclassical limit of the spectral decomposition of a Schrödinger operator in one dimension.

MATHEMATICA SCANDINAVICA ◽

10.7146/math.scand.a-12381 ◽

1991 ◽

Vol 69 ◽

pp. 291 ◽

Author(s):

Yang Liu

Keyword(s):

Schrödinger Operator ◽

Spectral Decomposition ◽

Semiclassical Limit ◽

One Dimension ◽

Schrodinger Operator

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On a Schrödinger operator with a purely imaginary potential in the semiclassical limit

Communications in Partial Differential Equations ◽

10.1080/03605302.2019.1646281 ◽

2019 ◽

Vol 44 (12) ◽

pp. 1542-1604 ◽

Author(s):

Y. Almog ◽

D. S. Grebenkov ◽

B. Helffer

Keyword(s):

Schrödinger Operator ◽

Semiclassical Limit ◽

Schrodinger Operator ◽

Imaginary Potential

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Towards the Spectral Analysis of Schrödinger Operator with Fractal Perturbation

Partial Differential Equations and Spectral Theory ◽

10.1007/978-3-0348-8231-6_20 ◽

2001 ◽

pp. 169-178

Author(s):

Volodymyr Koshmanenko

Keyword(s):

Spectral Analysis ◽

Schrödinger Operator ◽

Schrodinger Operator

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