[BOOK][B] Symmetries of equations of quantum mechanics

VI Fushchich, AG Nikitin - 1994 - imath.kiev.ua
This book is devoted to the analysis of old (classical) and new (non-Lie) symmetries of the
fundamental equations of quantum mechanics and classical field theory, and to the …

[BOOK][B] Symmetries of Maxwell's equations

WI Fushchich, AG Nikitin - 2013 - books.google.com
Approach your problems from the right end It isn't that they can't see the solution. It is and
begin with the answers. Then one day, that they can't see the problem. perhaps you will find …

Galilei invariant theories: I. constructions of indecomposable finite-dimensional representations of the homogeneous galilei group: directly and via contractions

M De Montigny, J Niederle… - Journal of Physics A …, 2006 - iopscience.iop.org
All indecomposable finite-dimensional representations of the homogeneous Galilei group
which when restricted to the rotation subgroup are decomposed to spin-0,-1/2 and-1 …

[PDF][PDF] Continuous subgroups of the Poincaré group P (1, 4)

WI Fushchich, AF Barannik, LF Barannik… - Journal of Physics A …, 1985 - researchgate.net
The generalised Poincaré group P (1, 4) is the group of inhomogeneous pseudoorthogonal
transformations of the five-dimensional pseudo-Euclidean space with the scalar product (X …

[BOOK][B] Симметрия уравнений квантовой механики

ВИ Фущич, АГ Никитин - 1990 - imath.kiev.ua
Излагаются основы нового подхода к исследованию симметрии уравнений
математической и теоретической физики.-Систематически изучаются симметрийные …

Симметрия уравнений Максвелла

НАГ Фущич ВИ - 1983 - libarch.nmu.org.ua
Симметрия уравнений Максвелла КНИГИ, ЕСТЕСТВЕННЫЕ НАУКИ, НАУКА и УЧЕБА
Название: Симметрия уравнений Максвелла Автор: Фущич ВИ, Никитин АГ …

On classification of symmetry reductions for the eikonal equation

V Fedorchuk, V Fedorchuk - Symmetry, 2016 - mdpi.com
Symmetry | Free Full-Text | On Classification of Symmetry Reductions for the Eikonal Equation
Next Article in Journal Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near …

[PDF][PDF] Симметрия в задачах математической физики

ВИ Фущич - Сборник научных трудов, 1981 - imath.kiev.ua
Уравнения математической физики—это уравнения с высокой симметрией, т. е. они,
как правило, инвариантны относительно широких групп Ли [1–6]. Это важное свойство …

Canonical quantization of Galilean covariant field theories

ES Santos, M de Montigny, FC Khanna - Annals of Physics, 2005 - Elsevier
The Galilean-invariant field theories are quantized by using the canonical method and the
five-dimensional Lorentz-like covariant expressions of non-relativistic field equations. This …

On the classification of symmetry reductions and invariant solutions for the Euler–Lagrange–Born–Infeld equation

VM Fedorchuk, VI Fedorchuk - Ukrainian journal of physics, 2019 - ujp.bitp.kiev.ua
We study a connection between the structural properties of the low-dimension (dimL≤ 3)
nonconjugate subalgebras of the Lie argebra of the generalized Poincare group P (1, 4) and …