Results 11 to 20 of about 3,077 (172)
A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum
Advances in Mathematical Physics, 2016 We consider the nonlinear Schrödinger equation -Δu+f(u)=V(x)u in RN. The potential function V satisfies that the essential spectrum of the Schrödinger operator -Δ-V is [0,+∞) and this Schrödinger operator has infinitely many negative eigenvalues ...
Shaowei Chen, Haijun Zhou
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Extension of the Schrodinger equation
EPJ 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
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Boundary 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
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Современная 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
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Fractal and Fractional, 2021 This paper investigates the solitary wave solutions for the perturbed nonlinear Schrödinger equation with six different nonlinearities with the essence of the generalized classical derivative, which is known as the beta derivative.
Asim Zafar +6 more
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Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System
Advances 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
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Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
Physical Review Research, 2020 Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman–von Neumann formulation of classical mechanics.
Ilon Joseph
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Exact WKB methods in SU(2) Nf = 1
Journal 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
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The Exact Nonrelativistic Energy Eigenvalues for Modified Inversely Quadratic Yukawa Potential Plus Mie-type Potential [PDF]
Журнал нано- та електронної фізики, 2017 The modified theories of noncommutative quantum mechanics have engrossed much attention in the last decade, especially its application to the fundamental three equations: Schrödinger, Klein-Gordon and Dirac equations.
Abdelmadjid Maireche
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A Regularised Total Least Squares Approach for 1D Inverse Scattering
Mathematics, 2022 We study the inverse scattering problem for a Schrödinger operator related to a static wave operator with variable velocity, using the GLM (Gelfand–Levitan–Marchenko) integral equation.
Andreas Tataris, Tristan van Leeuwen
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