Results 21 to 30 of about 39,475 (232)
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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Eulerian and Newtonian dynamics of quantum particles [PDF]
, 2013 We derive the classical equations of hydrodynamic type (Euler equation and the continuity equation) from which the Schrodinger equation follows as a limit case.
Rashkovskiy, Sergey
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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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A new approach to the exact solutions of the effective mass Schrodinger equation [PDF]
, 2007 Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
A. Ganguly +31 more
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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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Results in Physics, 2023 This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
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Time Fractional Schrodinger Equation Revisited
Advances in Mathematical Physics, 2013 The time fractional Schrodinger equation (TFSE) for a nonrelativistic particle is derived on the basis of the Feynman path integral method by extending it initially to the case of a “free particle” obeying fractional dynamics, obtained by replacing the ...
B. N. Narahari Achar +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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Comment on "Foundations of quantum mechanics: Connection with stochastic processes" [PDF]
, 2000 Recently, Olavo has proposed several derivations of the Schrodinger equation from different sets of hypothesis ("axiomatizations") [Phys. Rev. A 61, 052109 (2000)]. One of them is based on the infinitesimal inverse Weyl transform of a classically evolved
D. Alonso +7 more
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Mathematics, 2020 A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
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