Results 11 to 20 of about 1,653,373 (168)

Operator of Time and Generalized Schrödinger Equation

open access: yesAdvances in Mathematical Physics, 2018
The equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics.
Slobodan Prvanović
doaj   +2 more sources

Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]

open access: yes, 2013
Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir   +2 more
core   +4 more sources

Non-self-adjoint schrödinger operator with a periodic potential

open access: yes, 2021
This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for ...
Veliev O.
core   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

open access: yes, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian   +13 more
core   +1 more source

Extension of the Schrodinger equation

open access: yesEPJ Web of Conferences, 2017
Extension of the Schrodinger equation is submitted by removing its limitations appearing due to the limitations of the formalism of Hamilton, based on which this equation was obtained.
Somsikov Vyacheslav
doaj   +1 more source

Linear and Nonlinear Perturbed Wave Equations [PDF]

open access: yes, 2008
We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core   +1 more source

Minimal thinness with respect to the Schrödinger operator and its applications on singular Schrödinger-type boundary value problems

open access: yesBoundary Value Problems, 2019
The application of the new criteria for minimally thin sets with respect to the Schrödinger operator to an approximate solution of singular Schrödinger-type boundary value problems are discussed in this study.
Bo Meng
doaj   +1 more source

Maslov complex germ and semiclassical contracted states in the Cauchy problem for the Schrödinger equation with delta potential

open access: yesСовременная математика: Фундаментальные направления, 2022
We describe the semiclassical asymptotic behavior of the solution of the Cauchy problem for the Schrödinger equation with a delta potential localized on a surface of codimension 1.
A. I. Shafarevich, O. A. Shchegortsova
doaj   +1 more source

Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System

open access: yesAdvances in Mathematical Physics, 2016
The Schrödinger solutions for a three-dimensional central potential system whose Hamiltonian is composed of a time-dependent harmonic plus an inverse harmonic potential are investigated.
Salim Medjber   +3 more
doaj   +1 more source

Exact WKB methods in SU(2) Nf = 1

open access: yesJournal of High Energy Physics, 2022
We study in detail the Schrödinger equation corresponding to the four dimensional SU(2) N $$ \mathcal{N} $$ = 2 SQCD theory with one flavour. We calculate the Voros symbols, or quantum periods, in four different ways: Borel summation of the WKB series ...
Alba Grassi, Qianyu Hao, Andrew Neitzke
doaj   +1 more source

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