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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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Recursive Schrödinger equation approach to faster converging path integrals [PDF]
Physical Review E, 2009 By recursively solving the underlying Schr\" odinger equation, we set up an efficient systematic approach for deriving analytic expressions for discretized effective actions. With this we obtain discrete short-time propagators for both one and many particles in arbitrary dimension to orders which have not been accessible before.
Balaz A. +3 more
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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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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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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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Unique continuation for the magnetic Schrödinger equation [PDF]
, 2020 The unique‐continuation property from sets of positive measure is here proven for the many‐body magnetic Schrödinger equation. This property guarantees that if a solution of the Schrödinger equation vanishes on a set of positive measure, then it is ...
Benedicks, M., Laestadius, A., Penz, M.
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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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Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients [PDF]
, 2020 open access articleMotivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved periodicity ...
Anastassi, Zacharias +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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