Generalized Chebychev polynomials connected with a point interaction for the discrete Schrödinger equation

2018 Days on Diffraction (DD) ◽

10.1109/dd.2018.8553115 ◽

2018 ◽

Author(s):

V. V. Borzov ◽

E. V. Damaskinsky

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Point Interaction ◽

Discrete Schrödinger Equation ◽

Chebychev Polynomials

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Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator

Russian Journal of Mathematical Physics ◽

10.1134/s1061920808040067 ◽

2008 ◽

Vol 15 (4) ◽

pp. 487-492 ◽

Author(s):

E. A. Kopylova

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Oscillator ◽

Discrete Schrödinger Equation

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Shallow Potential Wells for the Discrete Schrödinger Equation

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_139 ◽

2003 ◽

pp. 857-861

Author(s):

Joel A. Rodriguez-Ceballos ◽

Peter N. Zhevandrov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Potential Wells ◽

Discrete Schrödinger Equation

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The Schrödinger equation with a moving point interaction in three dimensions

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-06-08814-9 ◽

2006 ◽

Vol 135 (6) ◽

pp. 1785-1793 ◽

Author(s):

Andrea Posilicano

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Point Interaction ◽

Three Dimensions

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An asymmetric form of the discrete Schrodinger equation with application to the inverse tunnelling problem

Journal of Physics A General Physics ◽

10.1088/0305-4470/14/9/017 ◽

1981 ◽

Vol 14 (9) ◽

pp. 2215-2225

Author(s):

M Hron ◽

M Razavy

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Discrete Schrödinger Equation ◽

Asymmetric Form

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On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$

SIAM Journal on Mathematical Analysis ◽

10.1137/080732821 ◽

2009 ◽

Vol 41 (3) ◽

pp. 861-885 ◽

Author(s):

Scipio Cuccagna ◽

Mirko Tarulli

Keyword(s):

Asymptotic Stability ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Standing Waves ◽

Discrete Schrödinger Equation

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The criterion of absence of bound states in two-dimensional perturbation of the discrete Schrodinger equation

2017 Days on Diffraction (DD) ◽

10.1109/dd.2017.8167998 ◽

2017 ◽

Author(s):

V.V. Borzov ◽

E.V. Damaskinsky

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Two Dimensional ◽

Discrete Schrödinger Equation

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Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass

Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001 ◽

10.1201/9780203575437.ch30 ◽

2004 ◽

pp. 349-358

Author(s):

Saber Elaydi ◽

Klaus Ziegler ◽

Bernd Aulbach

Keyword(s):

Dirac Equation ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Asymptotic Solutions ◽

Random Mass ◽

Discrete Schrödinger Equation

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Modulational instability and localized breather in discrete Schrödinger equation with helicoidal hopping and a power-law nonlinearity

Physics Letters A ◽

10.1016/j.physleta.2018.04.038 ◽

2018 ◽

Vol 382 (27) ◽

pp. 1778-1786

Author(s):

Wei Qi ◽

Zi-Hao Li ◽

Jiang-Tao Cai ◽

Guan-Qiang Li ◽

Hai-Feng Li

Keyword(s):

Schrödinger Equation ◽

Power Law ◽

Schrodinger Equation ◽

Modulational Instability ◽

Discrete Schrödinger Equation

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Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials

CRM Proceedings and Lecture Notes - Symmetries and Integrability of Difference Equations ◽

10.1090/crmp/009/33 ◽

1996 ◽

pp. 363-369 ◽

Author(s):

Vyacheslav Spiridonov ◽

Luc Vinet ◽

Alexey Zhedanov

Keyword(s):

Schrödinger Equation ◽

Orthogonal Polynomials ◽

Schrodinger Equation ◽

Darboux Transformations ◽

Discrete Schrödinger Equation

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Exact solution of the discrete Schrödinger equation for ferromagnetic chains

The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics ◽

10.1080/14786430600740674 ◽

2006 ◽

Vol 86 (32) ◽

pp. 4983-4995 ◽

Author(s):

S. Cojocaru ◽

V. Bârsan ◽

A. Ceulemans

Keyword(s):

Exact Solution ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Discrete Schrödinger Equation

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