Bounded Solutions of the Stationary Schrodinger Equation with Finite Energy Integral on Model Manifolds

Mathematical Physics and Computer Simulation ◽

10.15688/mpcm.jvolsu.2021.3.1 ◽

2021 ◽

pp. 5-17

Author(s):

Alexander Losev ◽

Vladimir Filatov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Finite Energy ◽

Energy Integral ◽

Bounded Solutions ◽

Stationary Schrödinger Equation

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On the solvability of boundary value problems for the stationary Schrödinger equation in unbounded domains on Riemannian manifolds

Differential Equations ◽

10.1134/s001226611506004x ◽

2015 ◽

Vol 51 (6) ◽

pp. 738-744 ◽

Author(s):

S. A. Korol’kov

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problems ◽

Riemannian Manifolds ◽

Schrodinger Equation ◽

Boundary Value ◽

Unbounded Domains ◽

Stationary Schrödinger Equation

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Fourier pseudospectral method for fractional stationary Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.008 ◽

2021 ◽

Vol 165 ◽

pp. 137-151 ◽

Author(s):

Yin Yang ◽

Xueyang Li ◽

Aiguo Xiao

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Pseudospectral Method ◽

Stationary Schrödinger Equation ◽

Fourier Pseudospectral Method ◽

Fourier Pseudospectral

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The One-Dimensional Stationary Schrödinger Equation

Basic Concepts in Computational Physics ◽

10.1007/978-3-319-02435-6_10 ◽

2013 ◽

pp. 131-146

Author(s):

Benjamin A. Stickler ◽

Ewald Schachinger

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Stationary Schrödinger Equation ◽

One Dimensional ◽

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Properties of the Stationary Schrödinger Equation

Undergraduate Lecture Notes in Physics - Fundamentals of Quantum Physics ◽

10.1007/978-3-642-29378-8_3 ◽

2012 ◽

pp. 33-60

Author(s):

Pedro Pereyra Padilla

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Stationary Schrödinger Equation

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Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation

Boundary Value Problems ◽

10.1186/s13661-019-1171-7 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Delin Sun

Keyword(s):

Schrödinger Equation ◽

Existence And Uniqueness ◽

Schrodinger Equation ◽

Stationary Schrödinger Equation ◽

Type Identity ◽

Uniqueness Of A Solution

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New lumps of Veselov–Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via -dressing method

Physics Letters A ◽

10.1016/s0375-9601(03)00715-1 ◽

2003 ◽

Vol 313 (1-2) ◽

pp. 68-76 ◽

Author(s):

V.G. Dubrovsky ◽

I.B. Formusatik

Keyword(s):

Schrödinger Equation ◽

Nonlinear Equation ◽

Schrodinger Equation ◽

Two Dimensional ◽

Stationary Schrödinger Equation ◽

Dressing Method ◽

Integrable Nonlinear Equation

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Asymptotics and existence of bounded solutions of a nonlinear Schrödinger equation on the half-line

Differential Equations ◽

10.1134/s0012266111050041 ◽

2011 ◽

Vol 47 (5) ◽

pp. 650-655

Author(s):

E. M. Mukhamadiev ◽

A. N. Naimov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Bounded Solutions ◽

Nonlinear Schrödinger

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On the stationary Schrödinger equation in the semi‐classical limit: Asymptotic blow‐up at a turning point

PAMM ◽

10.1002/pamm.201900004 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Kirian Döpfner ◽

Anton Arnold

Keyword(s):

Schrödinger Equation ◽

Classical Limit ◽

Schrodinger Equation ◽

Turning Point ◽

Blow Up ◽

Stationary Schrödinger Equation

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Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ab64a1 ◽

2020 ◽

Vol 53 (7) ◽

pp. 075301

Author(s):

E Shpagina ◽

F Uskov ◽

N Il’in ◽

O Lychkovskiy

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Wave Functions ◽

Density Matrices ◽

Stationary Schrödinger Equation

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Erratum: “On square-integrability of solutions of the stationary Schrödinger equation for the quantum harmonic oscillator in two dimensional constant curvature spaces” [J. Math. Phys. 56, 072101 (2015)]

Journal of Mathematical Physics ◽

10.1063/1.4929846 ◽

2015 ◽

Vol 56 (8) ◽

pp. 089901

Author(s):

Norman Noguera ◽

Krzysztof Rózga

Keyword(s):

Schrödinger Equation ◽

Harmonic Oscillator ◽

Constant Curvature ◽

Schrodinger Equation ◽

Two Dimensional ◽

Quantum Harmonic Oscillator ◽

Stationary Schrödinger Equation ◽

Square Integrability ◽

Math Phys ◽

Constant Curvature Spaces

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