TRIAL WAVE FUNCTION APPROACH TO CALCULATE THE GROUND STATE ENERGY OF NONLINEAR SCHRODINGER EQUATION IN MANY BODY PHYSICS

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ALEOMRANINEJAD SEYED MOHAMMAD ALI; Solaimani Mehdi

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Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2018 | Volume:8 | Issue:16 Page(s): 71-80

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Title

TRIAL WAVE FUNCTION APPROACH TO CALCULATE THE GROUND STATE ENERGY OF NONLINEAR SCHRODINGER EQUATION IN MANY BODY PHYSICS

Author(s)

ALEOMRANINEJAD SEYED MOHAMMAD ALI | Solaimani Mehdi | Issue Writer Certificate

Keywords

EULERQ1

LAGRANGE VARIATIONAL METHODQ1

ONE DIMENSIONAL NONLINEAR SCHRODINGER EQUATIONSQ1

NANOWIRE WITH A SOFT POLAR MOLECULAR LAYERQ1

QUANTUM WELL IN THE PRESENCE OF THE ELECTRONQ1

ELECTRON INTERACTIONSQ1

BOSEQ1

EINSTEIN CONDENSATEQ1

Abstract

In this paper, we have studied some nonlinear Schrodinger equations appeared inmany body systems such as a nanowire with a soft polar layer, a QUANTUM WELL IN THE PRESENCE OF THE ELECTRON-electron interactions, Grass-Pitaevskii equation for BOSE-Einstein condensate in the presence on the two and three body interactions. Calculation of the ground state energy of these systems by analytical methods is very difficult. Solution of these equations through numerical methods like self-consistent one also needs complicated computer programming. In this paper, Ground state energy have been obtained by means of the EULER-Lagrange Variational method as well as simple and appropriate trial wave-functions.Comparison of the result we have obtained with the Varational technique and the available methods in the literatures shows the high accuracy of this method.

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APA: Copy

ALEOMRANINEJAD, SEYED MOHAMMAD ALI, & Solaimani, Mehdi. (2018). TRIAL WAVE FUNCTION APPROACH TO CALCULATE THE GROUND STATE ENERGY OF NONLINEAR SCHRODINGER EQUATION IN MANY BODY PHYSICS. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 8(16 ), 71-80. SID. https://sid.ir/paper/243802/en

Vancouver: Copy

ALEOMRANINEJAD SEYED MOHAMMAD ALI, Solaimani Mehdi. TRIAL WAVE FUNCTION APPROACH TO CALCULATE THE GROUND STATE ENERGY OF NONLINEAR SCHRODINGER EQUATION IN MANY BODY PHYSICS. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2018;8(16 ):71-80. Available from: https://sid.ir/paper/243802/en

IEEE: Copy

SEYED MOHAMMAD ALI ALEOMRANINEJAD, and Mehdi Solaimani, “TRIAL WAVE FUNCTION APPROACH TO CALCULATE THE GROUND STATE ENERGY OF NONLINEAR SCHRODINGER EQUATION IN MANY BODY PHYSICS,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 8, no. 16 , pp. 71–80, 2018, [Online]. Available: https://sid.ir/paper/243802/en

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