Citation
Mahale, Narayan Krishna (1985) Monte Carlo Calculation of ThreeBody Scattering. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/09kgd808. https://resolver.caltech.edu/CaltechTHESIS:01252019102522205
Abstract
We construct an eigenvalue problem by confining manybody system to a bounded domain with the boundary condition that the wave function vanishes. By changing the boundary, however, the eigenvalues of the energy can be varied continuously. The Dmatrix is defined for a series of bounded problems with the same value for the ground state energy. The Dmatrix is related to the Smatrix, enabling us to calculate the Smatrix at a given energy. The Schrodinger equation for the system is transformed to a diffusion equation by regarding time as imaginary. Initial ensemble, representing an approximate wave function, is evolved, through Monte Carlo simulation of random walks and branching, to the ground state ensemble. The limitations of investigation are: 1. Ingoing and outgoing channels have two fragments. 2. The interaction between the fragments is negligible outside the boundary mentioned above. 3. The particles are bosons or we know the zeros of the wave function.
First we consider the scattering of a particle by a potential, which is equivalent to the twobody problem, in one dimension. Here we use the PoschlTeller potential for which the exact solution is known. We use this case to investigate a new sampling method and study of various parameters. Next we consider three particles in one dimension. Here we take interaction to be a potential well, where at least one of the interactions is attractive so that a twobody bound state is possible.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Physics 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  12 October 1984 
Record Number:  CaltechTHESIS:01252019102522205 
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:01252019102522205 
DOI:  10.7907/09kgd808 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  11362 
Collection:  CaltechTHESIS 
Deposited By:  INVALID USER 
Deposited On:  31 Jan 2019 20:13 
Last Modified:  16 Apr 2021 22:15 
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