An investigation of a class of soluble many body problems

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dc.contributor.advisorTrammell, George T.en_US
dc.creatorEdwards, Gregg Stanleyen_US
dc.date.accessioned2016-04-22T21:58:43Zen_US
dc.date.available2016-04-22T21:58:43Zen_US
dc.date.issued1963en_US
dc.description.abstractThis thesis is a report of results so far obtained in an investigation of the properties and characteristics of simple interaction systems whose Hamiltonians are quadratic in their generalized coordinates. The exact solutions of two system types are presented. The first is composed of a simple harmonic oscillator coupled to a uniform lattice of coupled simple harmonic oscillators, or, in the small amplitude approximation, to a beaded string. The second is composed of an arbitrary distribution of oscillators coupled to string. The quantization of linear systems such as those described above is discussed with the result that the solution to the equivalent quantum system in terms of operators is just that of the corresponding classical solution as a function of its initial conditions when these are interpreted as quantum operators. The energy flow along the linear chain is examined in the discussion of the non-exponential decay in dispersive systems. This is compared with the original discussion by Trammell (1956) who pointed out the non-exponential decay of quantum systems and the corresponding behavior of dispersive classical systems.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent93 ppen_US
dc.identifier.callnoThesis Phys. 1963 Edwardsen_US
dc.identifier.citationEdwards, Gregg Stanley. "An investigation of a class of soluble many body problems." (1963) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89837">https://hdl.handle.net/1911/89837</a>.en_US
dc.identifier.digitalRICE0871en_US
dc.identifier.urihttps://hdl.handle.net/1911/89837en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleAn investigation of a class of soluble many body problemsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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