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A path integral Monte Carlo method for the quasielastic response


Carraro, Carlo (1990) A path integral Monte Carlo method for the quasielastic response. Dissertation (Ph.D.), California Institute of Technology.


We formulate the quasielastic response of a non-relativistic many-body system at zero temperature in terms of ground state density matrix elements and real time path integrals that embody the final state interactions. While the former provide the weight for a conventional Monte Carlo calculation, the latter require a more sophisticated treatment. We argue that the recently developed Stationary Phase Monte Carlo technique can be used to study the approach to "Y-scaling." We perform calculations for a particle in a potential well in one and three dimensions and compare them to the exact results available for these models. We then derive an eikonal approximation to the Path Integrals. This method is suitably generalized to treat strongly repulsive interactions, and allows comparison to Silver's theory of final state interactions in a straightforward way. We also give an exact prescription to calculate the scaling limit for potentials comprising a hard core. Finally, we study the approach to scaling in a model 4He nucleus, and find good agreement with experimental data.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Koonin, Steven E.
Thesis Committee:
  • Koonin, Steven E. (chair)
  • Cross, Michael Clifford
  • Seki, Ryoichi
Defense Date:21 May 1990
Record Number:CaltechETD:etd-06072007-080221
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2498
Deposited By: Imported from ETD-db
Deposited On:14 Jun 2007
Last Modified:26 Dec 2012 02:52

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