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Functional integral method for potential scattering amplitude in quantum mechanics

2021/04/02 by Cao Thi Vi Ba, Ba, Cao Thi Vi, Do Thu Ha +3
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2104.02575

openalex publication_date 2021/04/02 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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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