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Extension of the Schrodinger equation [PDF]
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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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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Equation of Schrodinger's wave
International journal of health sciences, 2022 The Schrodinger equation is a quantum physics partial differential equation used to determine the wave function and energy of atomic and molecular systems. It is a non-relativistic phenomenological equation that is solved to acquire insight into the qualities of a physical system.
Smita Smita, Vikas Kumar Shukla
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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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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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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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