The Schrödinger equation
Numerical Resolution Of The Schrödinger Equation
... the Schrödinger equation numerically in a few usual cases of ...static Schrödinger equation for different potentials using the finite difference ...
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Solutions of the Schrödinger equation in a Hilbert space
... operator; Schrödinger equation Introduction The Schrödinger equation is the subject of numerous publications, and it is impossible to analyze all of them in ...nonlinear Schrödinger ...
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Direct Methods for Solving the Schrödinger Equation
... In addition to the comparison with other three approximate RHF, UHF and CI wavefunctions (Eqs. 3.1-3.3), for the first time, we have introduced UFB wavefunction (Eq. 3.5) as a new form of a compact explicitly correlated ...
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The Schrödinger Equation of the Hilbert Hyper Space
... Received November 20, 2012; revised December 21, 2012; accepted December 30, 2012 ABSTRACT Quantum measurement requires an observer to prepare a specific macroscopic measuring device from various options. In previous ...
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The Schrödinger equation with spatial white noise potential
... waves, blow up phenomena or Anderson localisation. The main difficulty is due to the presence of the rough potential. Recall that in dimension 2 , a white noise has a negative regularity which is strictly less than −1 . ...
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A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation
... Thus, the conclusion of Theorem 3.1 applies to problem (61)–(62). 5 Conclusion This paper was devoted to modifying the Schrödinger-type identity related to the sin- gular boundary value problem. We also presented ...
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Wave mechanics and the Schrödinger equation
... of nickel, Nature 119, 558 (1927). 1.2 Wave mechanics de Broglie’s doctoral thesis, defended at the end of 1924, created a lot of excitement in European physics circles. Shortly after it was published in the Autumn of ...
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A new application of Schrödinger-type identity to singular boundary value problem for the Schrödinger equation
... Abstract In this paper, we present a modified Schrödinger-type identity related to the Schrödinger-type boundary value problem with mixed boundary conditions and spatial heterogeneities. This identity can be ...
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Exponential propagators for the Schrödinger equation with a time-dependent potential
... 2 Instituto Universitario de Matem´atica Multidisciplinar, Universitat Polit`ecnica de Val`encia, E-46022 Valencia, Spain (Received 19 April 2018; accepted 11 June 2018; published online 28 June 2018) We consider the ...
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A preconditioned iterative solver for the scattering solutions of the Schrödinger equation
... ¨odinger equation defines the dynamics of quantum particles which has been an area of unabated interest in ...¨odinger equation leads to a coupled linear system, whereby each diagonal block is a high ...
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Exactly Solvable Schrödinger Equation with Hypergeometric Wavefunctions
... solvable Schrödinger equations are rather scanty and in their research different analytical or operational approaches have been ...the Schrödinger equation is reduced to the study of hyper- geometric ...
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Endpoint Strichartz estimates for the magnetic Schrödinger equation
... Communicated by I. Rodnianski Abstract We prove Strichartz estimates for the Schrödinger equation with an electromagnetic potential, in dimen- sion n 3. The decay and regularity assumptions on the ...
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The Mass Critical for the Nonlinear Schrödinger Equation in d = 2
... Schrödinger equation. Because of the reversibility of the Schrödinger equation and standard results of scattering theory, one cannot foresee the convergence of the rescaled wave function to ...
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Analytic and numerical solutions for systems of fractional Schrödinger equation
... the Schrödinger equation comes in two ...the equation is often called the time dependent Schrödinger wave ...the equation in which the time has been extracted and thus is referred to as ...
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Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
... the Schrödinger equation with generalized inverted hyperbolic potential using the Niki- forov-Uvarov method are ...energy equation and the wave function for these spe- cial ...
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Stability Solution of the Nonlinear Schrödinger Equation
... nonlinear Schrödinger equation obeying u i t u F u e with small in a suitable space and e u 0 u 0 small in H x s c and then there exists a veritable solution u to nonlinear ...
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Spline Solution for the Nonlinear Schrödinger Equation
... http://creativecommons.org/licenses/by/4.0/ Abstract We develop an exponential spline interpolation method to solve the nonlinear Schrödinger equa- tion. The truncation error and stability analysis of the method ...
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Introduction to Schrödinger Equation: Harmonic Potential
... Physically realizable states correspond to the square-integrable solutions to the Schr¨odinger equation.. Boundary condition is that Ψ(x, t) must go to zero as x goes to ±∞.[r] ...
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Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation
... the Schrödinger-type identity for obtaining transmutations via the fixed point index for nonlinear integral ...the Schrödinger-type identity method as basic blocks, among them are Fourier, sine and ...
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Vector Nonlinear Schrödinger Equation on the half-line
... To the authors’ knowledge, a general proof that the field obtained with the mirror image technique obeys the desired boundary conditions is not known within this for- malism. Even in the scalar case, an explicit argument ...
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