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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Numerical approach to the Schrodinger equation in momentum space
, 2009 The treatment of the time-independent Schrodinger equation in real-space is an indispensable part of introductory quantum mechanics. In contrast, the Schrodinger equation in momentum space is an integral equation that is not readily amenable to an ...
Christopher R. Jamell +9 more
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The Schrodinger Equation [PDF]
, 2011 In this chapter we turn to a solution of the Schrodinger equation for a simple one dimensional potential as a tool for understanding the meaning of the wave function with an introduction to symmetry and conservation laws.
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, 2005 In this paper we use a similarity transformation connecting some families of Nonlinear Schrodinger equations with time-varying coefficients with the autonomous cubic nonlinear Schrodinger equation.
Abdullaev +28 more
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Short distance modification of the quantum virial theorem
Physics Letters B, 2017 In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will ...
Qin Zhao, Mir Faizal, Zaid Zaz
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Interacting Stochastic Schrödinger Equation
Mathematics, 2023 Being the annihilation and creation operators on the space h of square integrable Bernoulli functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation (CAR) in equal time.
Lu Zhang, Caishi Wang, Jinshu Chen
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Schrodinger equation in momentum space
Journal of Physics A: Mathematical and General, 1979 A differential equation in momentum space is derived for the case of an attractive Coulomb potential. The bound-state energies and the momentum eigenfunctions are shown to arise from this differential equation in a simple fashion. The zero-energy partial-wave momentum eigenfunctions are also derived.
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NONLINEAR SCHRÖDINGER-PAULI EQUATIONS [PDF]
Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday, 2010 We obtain novel nonlinear Schr dinger-Pauli equations through a formal non-relativistic limit of appropriately constructed nonlinear Dirac equations. This procedure automatically provides a physical regularisation of potential singularities brought forward by the nonlinear terms and suggests how to regularise previous equations studied in the ...
Ng, Wei Khim, Parwani, Rajesh R.
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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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