Related papers: Functional integral method for potential scattering amplitude in quantum mechanics

Functional integral method for potential scattering amplitude in quantum mechanics

URL: http://arxiv.org/abs/2104.02575v1
Date: Fri, 2 Apr 2021 01:16:51 GMT
Title: Functional integral method for potential scattering amplitude in quantum mechanics
Authors: Cao Thi Vi Ba, Do Thu Ha, Nguyen Nhu Xuan
Abstract summary: We will obtain the potential scattering amplitude form the complete Green function in the corresponding external field through solving the Schrodinger equation. Consider specific external potentials such as the Yukawa or Gaussian potential, we will find the corresponding differential scattering cross-sections.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The functional integral method can be used in quantum mechanics to find the scattering amplitude for particles in the external field. We will obtain the potential scattering amplitude form the complete Green function in the corresponding external field through solving the Schrodinger equation, after being separated from the poles on the mass shell, which takes the form of an eikonal (Glauber) representation in the high energy region and the small scattering angles. Consider specific external potentials such as the Yukawa or Gaussian potential, we will find the corresponding differential scattering cross-sections.

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