A Local Strong form Meshless Method for Solving 2D time-Dependent Schrö dinger Equations

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Takhtabnoos Fariba; Shirzadi Ahmad

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Journal: MATHEMATICAL RESEARCHES Year:2019 | Volume:4 | Issue:2 Page(s): 153-172

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Information Journal Paper

Title

A Local Strong form Meshless Method for Solving 2D time-Dependent Schrö dinger Equations

Author(s)

Takhtabnoos Fariba | Shirzadi Ahmad | Issue Writer Certificate

Keywords

Local radial basis functions meshless methodsQ2

Collocation methodsQ1

Finite differencesQ1

Schrödinger equationQ1

Abstract

Introduction The time dependent Schrö dinger equation with arbitrary potential function is a fundamental equation of quantum mechanics. It is well known that Schrö dinger equation play an essential role in the relativistic and non-relativistic quantum mechanics. This equation arises in many other practical domains of physical and technological interest, e. g. optics, seismology and plasma physics. Many problems of solid state physics, atomic and molecular structure and spectra, molecular dynamics and quantum chemistry require the solution of the nonlinear time dependent Schrö dinger equation. ...

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APA: Copy

Takhtabnoos, Fariba, & Shirzadi, Ahmad. (2019). A Local Strong form Meshless Method for Solving 2D time-Dependent Schrö dinger Equations. MATHEMATICAL RESEARCHES, 4(2 ), 153-172. SID. https://sid.ir/paper/260791/en

Vancouver: Copy

Takhtabnoos Fariba, Shirzadi Ahmad. A Local Strong form Meshless Method for Solving 2D time-Dependent Schrö dinger Equations. MATHEMATICAL RESEARCHES[Internet]. 2019;4(2 ):153-172. Available from: https://sid.ir/paper/260791/en

IEEE: Copy

Fariba Takhtabnoos, and Ahmad Shirzadi, “A Local Strong form Meshless Method for Solving 2D time-Dependent Schrö dinger Equations,” MATHEMATICAL RESEARCHES, vol. 4, no. 2 , pp. 153–172, 2019, [Online]. Available: https://sid.ir/paper/260791/en

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