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

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

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

Boundary 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, Songhai Qin, Zhibin Liu, Yi Wang   +3 more
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]

E-Journal of Analysis and Applied Mathematics, 2020
In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Dynamical behaviors, chaotic pattern and multiple optical solitons for coupled stochastic Schrödinger–Hirota system in magneto-optic waveguides with multiplicative white noise via Itô calculus

Results in Physics
The primary focus of this study was on exploring the optical soliton solutions and chaotic patterns in magneto-optic waveguides through the coupled stochastic Schrödinger–Hirota equation with multiplicative white noise.
Tianxiu Lu, Lu Tang, Yuanlin Chen, Caiwen Chen   +3 more
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Short distance modification of the quantum virial theorem

Physics Letters B, 2017
In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will ...
Qin Zhao, Mir Faizal, Zaid Zaz
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

Abstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Energy decay rate of multidimensional inhomogeneous Landau–Lifshitz–Gilbert equation and Schrödinger map equation on the sphere

Advances in Difference Equations, 2018
We consider the multidimensional dimensional inhomogeneous Landau–Lifshitz–Gilbert (ILLG) equation and its degenerate case, the Schrödinger map equation.
Penghong Zhong, Chao Zhang, Fengong Wu
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Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

Axioms, 2022
The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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Some Spectral Properties of Schrödinger Operators on Semi Axis

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
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