Results 1 to 10 of about 278,763 (144)
A Schrödinger Equation for Evolutionary Dynamics
Quantum Reports, 2023 We establish an analogy between the Fokker–Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanical particles, showing that a population with multiple genetic traits evolves analogously to a wavefunction under a multi-dimensional energy potential in imaginary time.
Vi D. Ao +7 more
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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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Schrödinger principal-component analysis: On the duality between principal-component analysis and the Schrödinger equation [PDF]
Physical Review E, 2021 Principal component analysis (PCA) has been applied to analyze random fields in various scientific disciplines. However, the explainability of PCA remains elusive unless strong domain-specific knowledge is available. This paper provides a theoretical framework that builds a duality between the PCA eigenmodes of a random field and eigenstates of a ...
Ziming Liu +4 more
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Numerical Solution of the S-Limit Schrödinger Equation [PDF]
The Journal of Chemical Physics, 1968 Numerical solutions to the S-limit Schrödinger equation have been obtained for He and Li+. Using these the energy and the expectation values 〈Σri〉 and 〈Σri2〉 were calculated and compared to the radial configuration interaction values. The results demonstrate that the direct numerical solution of many partial differential equations in chemical physics ...
Winter, N. W. +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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Open 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
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An algorithm for fractional Schrödinger equation in case of Morse potential
AIP 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
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Energy Growth in Schrödinger's Equation with Markovian Forcing [PDF]
Communications in Mathematical Physics, 2003 Schrodinger's equation is considered on a one-dimensional torus with time dependent potential v(θ,t)=λV(θ)X(t), where V(θ) is an even trigonometric polynomial and X(t) is a stationary Markov process. It is shown that when the coupling constant λ is sufficiently small, the average kinetic energy grows as the square-root of time.
ErdoÄŸan, M. Burak +2 more
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AppliedMath, 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
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