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Carroll–Schrödinger equation as the ultra-relativistic limit of the tachyon equation [PDF]
Scientific ReportsThe Poincaré symmetry can be contracted in two ways to yield the Galilei symmetry and the Carroll symmetry. The well-known Schrödinger equation exhibits the Galilei symmetry and is a fundamental equation in Galilean quantum mechanics.
Mojtaba Najafizadeh
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Picard and Homotopy Perturbation Methods for Solving the Time-Fractional Schrödinger Equations [PDF]
Delta Journal of Science, 2020 The time-dependent Schrödinger wave equation is the basic partial differentialequation of quantum field theory. The study of this equation and itsapplications play an exceptionally important function in modern physics.
S. M. Aljawazneh, E. E. Eladdad
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Results in Physics, 2023 In this paper, the stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity is studied, which is usually used to describe the mathematical model of optical soliton propagation in ...
Chen Peng, Lu Tang, Zhao Li, Dan Chen
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Schrödinger–Newton Equation with Spontaneous Wave Function Collapse
Quantum Reports, 2022 Based on the assumption that the standard Schrödinger equation becomes gravitationally modified for massive macroscopic objects, two independent proposals have survived from the 1980s.
Lajos Diósi
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QuantumFDTD - A computational framework for the relativistic Schrödinger equation [PDF]
EPJ Web of Conferences, 2022 We extend the publicly available quantumfdtd code. It was originally intended for solving the time-independent three-dimensional Schrödinger equation via the finite-difference time-domain (FDTD) method and for extracting the ground, first, and second ...
Delgado Rafael L. +3 more
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Risenologi, 2020 The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Partial Differential Equations in Applied Mathematics, 2022 This work justifies the generalized Schrödinger-like equation with logarithmic nonlinearity in the statistical theory of cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics ...
Alexander M. Krot
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Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons [PDF]
Alfarama Journal of Basic & Applied Sciences, 2020 In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach ...
Salah El-Labany +3 more
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Effective Potential from the Generalized Time-Dependent Schrödinger Equation
Mathematics, 2016 We analyze the generalized time-dependent Schrödinger equation for the force free case, as a generalization, for example, of the standard time-dependent Schrödinger equation, time fractional Schrödinger equation, distributed order time fractional ...
Trifce Sandev +2 more
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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
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