The method of single expression (MSE) as a prospective modeling tool for boundary value problems: an extension from nano-optics to quantum mechanics

H. V. Baghdasaryan; T. M. Knyazyan; T. Baghdasaryan; T. T. Hovhannisyan; M. Marciniak

doi:10.1007/s11082-020-02572-6

The method of single expression (MSE) as a prospective modeling tool for boundary value problems: an extension from nano-optics to quantum mechanics

Optical and Quantum Electronics ◽

10.1007/s11082-020-02572-6 ◽

2020 ◽

Vol 52 (10) ◽

Author(s):

H. V. Baghdasaryan ◽

T. M. Knyazyan ◽

T. Baghdasaryan ◽

T. T. Hovhannisyan ◽

M. Marciniak

Keyword(s):

Quantum Mechanics ◽

Boundary Value Problems ◽

Boundary Value ◽

Modeling Tool ◽

Method Of Single Expression

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Existence of boundary value problems for TFD equation in quantum mechanics

Applied Mathematics and Mechanics ◽

10.1007/bf02458526 ◽

2000 ◽

Vol 21 (2) ◽

pp. 243-248

Author(s):

Wang Guocan ◽

Ding Peizhu ◽

Zheng Chengde

Keyword(s):

Quantum Mechanics ◽

Boundary Value Problems ◽

Boundary Value

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Numerical methods for solving some singular boundary value problems of quantum mechanics and quantum field theory. I

Journal of Computational Physics ◽

10.1016/0021-9991(76)90073-5 ◽

1976 ◽

Vol 22 (2) ◽

pp. 150-170 ◽

Cited By ~ 5

Author(s):

A.T Filippov ◽

I.V Puzynin ◽

Dmitrij P Mavlo

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Quantum Mechanics ◽

Numerical Methods ◽

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Quantum Field ◽

Singular Boundary Value Problems

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On Solving the Low-Dimensional Boundary Value Problems of Quantum Mechanics by Kantorovich Method - Reduction to Ordinary Differential Equations

Izvestiya of Saratov University New series Series Physics ◽

10.18500/1817-3020-2010-10-1-4-17 ◽

2010 ◽

Vol 10 (1) ◽

pp. 4-17

Author(s):

Vladimir Leonardovich Derbov ◽

◽

Vladislav Viktorovich Serov ◽

Sergei ll'ich Vinitsky ◽

Alexandr Alexandrovich Gusev ◽

...

Keyword(s):

Quantum Mechanics ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Kantorovich Method ◽

Dimensional Boundary ◽

Low Dimensional

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Boundary-value problems in the Fanno model for turbulent compressible flow

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210502000069 ◽

2002 ◽

Vol 132 (01) ◽

pp. 121

Keyword(s):

Boundary Value Problems ◽

Compressible Flow ◽

Boundary Value

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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

10.1017/cbo9780511546730 ◽

2005 ◽

Cited By ~ 54

Author(s):

Dan Henry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Partial Differential

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Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

10.1016/s0168-2024(08)x7006-7 ◽

1990 ◽

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Nonhomogeneous Fluids

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EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30195-4 ◽

1993 ◽

Vol 13 (1) ◽

pp. 102-110

Author(s):

Shixin Yang

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic

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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30303-5 ◽

1988 ◽

Vol 8 (3) ◽

pp. 239-248 ◽

Cited By ~ 2

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations

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DOUBLY QUASIPERIODIC RIEMANN BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30744-6 ◽

1981 ◽

Vol 1 (1) ◽

pp. 13-30 ◽

Cited By ~ 3

Author(s):

Jianke Lu

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Riemann Boundary

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THE EQUIVALUED BOUNDARY VALUE PROBLEMS FOR THE MINIMAL SURFACE EQUATION

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30680-5 ◽

1984 ◽

Vol 4 (4) ◽

pp. 471-479 ◽

Cited By ~ 1

Author(s):

shuxing Chen

Keyword(s):

Minimal Surface ◽

Boundary Value Problems ◽

Boundary Value ◽

Surface Equation ◽

Minimal Surface Equation

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