Citation
Huggins, Elisha Rhodes (1962) Quantum Mechanics of the Interaction of Gravity with Electrons: Theory of a SpinTwo Field Coupled to Energy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/05S46910. https://resolver.caltech.edu/CaltechTHESIS:08182011085110085
Abstract
Two methods of finding the energy tensor from the Lagrangian of a system are those of Belinfante, and Landau and Lifschitz. Neither of these methods are unique; two energy tensors for the same system differ by a term that is symmetric, has zero divergence, and is itself a second derivative. It is shown that such a term in the energy tensor produces physical effects that in one case can be measured experimentally. It is because of this lack of uniqueness of energy tensors that it is not sufficient to consider gravity merely as a spintwo field coupled to energy. To set up the quantum mechanics of gravity interacting with electrons, the curved space Lagrangian for the Dirac field is expanded in terms of the gravitational fields h_(µν) is checked that the expanded Lagrangian has the same transformation properties as the original curved space Lagrangian. The calculations presented are the gravitational Rutherford scattering of electrons, emission of low energy gravitons by electrons, the scattering of gravitons by electrons, the gravitational selfenergy of the electron, and the most divergent part of the vacuum polarization calculation. There is also an investigation of the effects of the spin of the electron by comparison with a spinzero particle interacting with gravity.
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:  1 June 1962 
Record Number:  CaltechTHESIS:08182011085110085 
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:08182011085110085 
DOI:  10.7907/05S46910 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  6592 
Collection:  CaltechTHESIS 
Deposited By:  John Wade 
Deposited On:  18 Aug 2011 16:21 
Last Modified:  30 Nov 2023 00:40 
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