Results 11 to 20 of about 19,081 (217)

An algorithm for fractional Schrödinger equation in case of Morse potential

open access: yesAIP Advances, 2020
Based on methods of numerical integration and Riemann–Liouville definition of the fractional derivatives, we find a numerical algorithm to find solutions of the time independent fractional Schrödinger equation for Morse potential or the quantum ...
Marwan Al-Raeei, Moustafa Sayem El-Daher
doaj   +1 more source

Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow

open access: yesOpen Mathematics, 2023
In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
doaj   +1 more source

Bifurcation, chaotic pattern and optical soliton solutions of generalized nonlinear Schrödinger equation

open access: yesResults in Physics, 2023
This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
doaj   +1 more source

Approximate Nonlocal Symmetries for a Perturbed Schrödinger Equation with a Weak Infinite Power-Law Memory

open access: yesAppliedMath, 2022
A nonlocally perturbed linear Schrödinger equation with a small parameter was derived under the assumption of low-level fractionality by using one of the known general nonlocal wave equations with an infinite power-law memory.
Stanislav Yu. Lukashchuk
doaj   +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

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

open access: yesMathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Interacting Stochastic Schrödinger Equation

open access: yesMathematics, 2023
Being the annihilation and creation operators on the space h of square integrable Bernoulli functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation (CAR) in equal time.
Lu Zhang, Caishi Wang, Jinshu Chen
doaj   +1 more source

Derivation of a dissipative Schrödinger equation VI: the Caldirola-Kanai equation [PDF]

open access: yesRevista Brasileira de Ensino de Física
In this paper, our main objective is to derive the Caldirola-Kanai equation from first principles and present some analytical solutions to it. To do so, we will extend the axioms of the derivation of the Schrödinger equation and, thus, present the ...
Olavo L. Silva Filho, Marcello Ferreira
doaj   +1 more source

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions

open access: yesBoundary Value Problems, 2020
In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu   +3 more
doaj   +1 more source

Derivation and Physical Meaning of the Schrodinger Equation of a Particle in One Dimensional Space

open access: yesJPFT (Jurnal Pendidikan Fisika dan Teknologi), 2022
Research has been carried out to determine the physical meaning and derivation of the Schrodinger equation with the literature study research method. Based on the research results obtained through data processing in the form of information obtained from
Joko Krismanto Harianja
doaj   +1 more source

Home - About - Disclaimer - Privacy