On a Limit Pass from Two-Point to One-Point Interaction in a One Dimensional Quantum Mechanical Problem Giving Rise to a Spontaneous Symmetry Breaking

Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software ◽

10.14529/mmp210106 ◽

2021 ◽

Vol 14 (1) ◽

pp. 75-90

Author(s):

A. Restuccia ◽

◽

A. Sotomayor ◽

V.A. Strauss ◽

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...

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

Point Interaction ◽

Quantum Mechanical ◽

Mechanical Problem ◽

One Dimensional ◽

Quantum Mechanical Problem

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A quantum mechanical problem involving many interacting solitons and its classical chaotic limit

Chaos Solitons & Fractals ◽

10.1016/0960-0779(91)90037-a ◽

1991 ◽

Vol 1 (3) ◽

pp. 281-294

Author(s):

Bomin Xie

Keyword(s):

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem

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Absence of spontaneous symmetry breaking in the ground state of one-dimensional spin-orbital model

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2003.12.1299 ◽

2004 ◽

Vol 272-276 ◽

pp. 908-909 ◽

Author(s):

K. Tanaka ◽

K. Takeda ◽

T. Idogaki

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

Ground State ◽

Spin Orbital ◽

One Dimensional

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The system of harmonically interacting particles: An exact solution of the quantum-mechanical problem

International Journal of Quantum Chemistry ◽

10.1002/qua.560390207 ◽

1991 ◽

Vol 39 (2) ◽

pp. 173-181 ◽

Author(s):

M. S. Osadchii ◽

V. V. Murakhtanov

Keyword(s):

Exact Solution ◽

Quantum Mechanical ◽

Interacting Particles ◽

Mechanical Problem ◽

Quantum Mechanical Problem

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Illustration of resonances and the law of exponential decay in a simple quantum‐mechanical problem

American Journal of Physics ◽

10.1119/1.14284 ◽

1985 ◽

Vol 53 (7) ◽

pp. 679-683 ◽

Author(s):

Herbert Massmann

Keyword(s):

Exponential Decay ◽

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem ◽

Simple Quantum ◽

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Ground-state energy and probability distribution in a nonlocal quantum mechanical problem

Theoretical and Mathematical Physics ◽

10.1007/bf01037677 ◽

1986 ◽

Vol 69 (1) ◽

pp. 1016-1019

Author(s):

Augusto Gonz�lez Garci�

Keyword(s):

Probability Distribution ◽

Ground State Energy ◽

Ground State ◽

State Energy ◽

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem ◽

Nonlocal Quantum

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The Riemann solution and the inverse quantum mechanical problem

Journal of Mathematical Physics ◽

10.1063/1.523002 ◽

1976 ◽

Vol 17 (6) ◽

pp. 888-893 ◽

Author(s):

Marcel Coz ◽

Christiane Coudray

Keyword(s):

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem ◽

Riemann Solution

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Spontaneous symmetry breaking of fundamental states, vortices, and dipoles in two- and one-dimensional linearly coupled traps with cubic self-attraction

Physical Review A ◽

10.1103/physreva.96.033621 ◽

2017 ◽

Vol 96 (3) ◽

Author(s):

Zhaopin Chen ◽

Yongyao Li ◽

Boris A. Malomed ◽

Luca Salasnich

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

One Dimensional

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High-order coupled cluster method calculations of spontaneous symmetry breaking in the spin-half one-dimensional J_{1}-J_{2} model

Condensed Matter Physics ◽

10.5488/cmp.12.3.411 ◽

2009 ◽

Vol 12 (3) ◽

pp. 411-428 ◽

Author(s):

Farnell

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

Cluster Method ◽

Coupled Cluster ◽

Coupled Cluster Method ◽

One Dimensional

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The two-body quantum mechanical problem on spheres

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/15/010 ◽

2006 ◽

Vol 39 (15) ◽

pp. 4011-4046 ◽

Author(s):

Alexey V Shchepetilov

Keyword(s):

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem

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The Quantum-Mechanical Problem of a Particle in Two Adjacent Potential Minima. II. Solution by Perturbation Theory Methods

American Journal of Physics ◽

10.1119/1.1989582 ◽

1949 ◽

Vol 17 (5) ◽

pp. 303-310

Author(s):

D. S. Carter ◽

G. M. Volkoff

Keyword(s):

Perturbation Theory ◽

Quantum Mechanical ◽

Mechanical Problem ◽

Quantum Mechanical Problem

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