Citation
Wells, Willard Henry (1959) Quantum theory of coupled systems having application to masers. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/N9N5YD86. https://resolver.caltech.edu/CaltechETD:etd02222006081649
Abstract
Nonrelativistic quantum mechanics is treated using Feynman's spacetime approach and Wigner's probablity density of position and momentum. The mechanics of a system is described by the probability of each path of the coordinates in spacetime. The influence of one system on another is described by the probability of a force function.
It is shown that linear systems follow only classical paths. The quantum theory merely puts uncertainty into their initial conditions, just like thermal noise. The formalism apparently does not simplify intrinsically nonlinear problems. However, linear systems are sometimes coupled to nonlinear quantum systems which operate only on a linear portion of their charactersitcs (like a vacuum tube in a class A amplifier). Then the reaction on the linear systems can be reduced to an equivalent impedence and noise power spectrum, so that the linear problem can be solved by classical methods.
Solid state and beam type masers are treated as examples. Masers employ excited nonlinear systems to acheive linear amplification of the electromagnetic signal. The modes of the waveguides and cavities are the linear systems. To them the amplifying systems appear as nagative resistance, reactance, and noise.
Item Type:  Thesis (Dissertation (Ph.D.)) 

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 January 1959 
Record Number:  CaltechETD:etd02222006081649 
Persistent URL:  https://resolver.caltech.edu/CaltechETD:etd02222006081649 
DOI:  10.7907/N9N5YD86 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  708 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  02 Mar 2006 
Last Modified:  21 Dec 2019 03:05 
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