Some problems of symmetry of the Schrodinger equations

Some problems of symmetry of the Schrodinger equations

Xehetasun bibliografikoak
Parent link:	Soviet Physics Journal: Scientific Journal Vol. 34, iss. 4.— 1991.— [P. 382-385]
Beste egile batzuk:	Bagrov V. G., Samsonov B. F., Shapovalov A. V. Aleksandr Vasilyevich
Gaia:	Title screen The Schrцdinger algebra sch3 is examined as a subalgebra of the algebra k1,4 of conformal transformations of the space R1, 4. Orbits of the associated representations of the Schrцdinger group are found in the algebra sch3. It is proven that all nontrivial local differential symmetry operators of second order belong to the enveloping algebra U(sch3) of the algebra sch3, and the space of these operators is defined. All the absolute identities and identities on the solutions of the Schrцdinger equation are obtained in the space of second-order operators of the algebra U(sch3) Режим доступа: по договору с организацией-держателем ресурса
Argitaratua:	1991
Gaiak:	электронный ресурс труды учёных ТПУ
Sarrera elektronikoa:	http://link.springer.com/article/10.1007%2FBF00898109
Formatua:	Baliabide elektronikoa Liburu kapitulua
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636627

Antzeko izenburuak

Local symmetry algebra of the schrodinger equation for the hydrogen atom
nork: Drokin A. A.
Argitaratua: (1996)

Free Schrodinger equation analyzed in terms of the wave equation
nork: Bagrov V. G. Vladislav Gavriilovich
Argitaratua: (1990)

Semiclassical Solutions of the Nonlinear Schrödinger Equation
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (1999)

Symmetry algebras of linear differential equations
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (1992)

Separation of variables in the wave equation. Sets of the type (1.1) and Schrodinger equation
nork: Bagrov V. G.
Argitaratua: (1991)

Spontaneous violation of symmetry of the classical Liouville equation
nork: Lasukov V. V. Vladimir Vasilievich
Argitaratua: (2007)

Semiclassically Concentrates Waves for the Nonlinear Schrodinger Equation with External Field
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (2002)

Generation of new exactly solvable potentials of a nonstationary Schrodinger equation
nork: Bagrov V. G.
Argitaratua: (1991)

Semiclassical trajectory-coherent states of the nonlinear Schrodinger equation with unitary nonlinearity
Argitaratua: (1999)

The Nonlinear Schrodinger Equation for a Many-Dimensional System in an Oscillator Field
nork: Borisov A. V. Aleksey Vladimirovich
Argitaratua: (2005)

Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
nork: Lisok A. L. Aleksandr Leonidovich
Argitaratua: (2013)

A new method of exact solution generation for the one-dimensional Schrodinger equation
nork: Bagrov V. G.
Argitaratua: (1990)

Methods of generating integrable potentials for the Sochrodinger equation and nonlocal symmetries
nork: Bagrov V. G.
Argitaratua: (1991)

Symmetry of the Dirac equation with an external non-Abelian gauge field
nork: Bagrov V. G.
Argitaratua: (1986)

Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
nork: Lisok A. L. Aleksandr Leonidovich
Argitaratua: (2007)

Complete sets of symmetry operators containing a second-order operator and the problem of separation of variables in the wave equation
Argitaratua: (1991)

Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups
nork: Breev A. I. Aleksandr Igorevich
Argitaratua: (2016)

The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration
nork: Breev A. I. Aleksandr Igorevich
Argitaratua: (2016)

Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schrodinger equation
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (1993)

Symmetry operators of a Hartree-type equation with quadratic potential
nork: Lisok A. L. Aleksandr Leonidovich
Argitaratua: (2005)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (2007)

High-performance parallel solver for 3D time-dependent Schrodinger equation for large-scale nanosystems
nork: Gainullin I. K.
Argitaratua: (2015)

A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrodinger equation with an external field in polar coordinates
nork: Borisov A. V. Aleksey Vladimirovich
Argitaratua: (2006)

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term
nork: Kulagin A. E. Anton Evgenievich
Argitaratua: (2024)

The alternative analysis: the new results and some problems
nork: Sukhotin A. M. Aleksandr Mikhailovich
Argitaratua: (2014)

Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation
Argitaratua: (1990)

Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator
nork: Levchenko E. A. Evgeny Anatolievich
Argitaratua: (2014)

Subalgebras of the Schrodinger algebra with nontrivial centers
nork: Bagrov V. G.
Argitaratua: (1990)

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (2005)

Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (2016)

Yang-Mills fields permitted by abelian complete sets of first-order symmetry operators of the Dirac equation
nork: Bagrov V. G.
Argitaratua: (1989)

Model of medium with diffusion and internal surfaces and some applied problems
nork: Knyazeva A. G. Anna Georgievna
Argitaratua: (2004)

Symmetry operators and separation of variables in the (2+1)-dimensional Dirac equation with external electromagnetic field
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (2018)

Some problems of the state regulation of economy
nork: Zemtsova L. V.
Argitaratua: (2005)

Schrödinger potentials solvable in terms of the confluent Heun functions
nork: Ishkhanyan A. Artur
Argitaratua: (2016)

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity
nork: Levchenko E. A. Evgeny Anatolievich
Argitaratua: (2017)

Symmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
Argitaratua: (2012)

Representations of Lie algebras and the problem of noncommutative integrability of linear differential equations
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (1991)

Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator
nork: Shapovalov A. V. Aleksandr Vasilyevich
Argitaratua: (1995)

Solving Some Problems of Predictive Analytics for Time Series Data
nork: Botygin I. A. Igor Aleksandrovich
Argitaratua: (2022)