Dissertation/ Thesis

The behavior of the spectrum of several quantum mechanical spin systems in the infinite volume limit.

التفاصيل البيبلوغرافية
العنوان: The behavior of the spectrum of several quantum mechanical spin systems in the infinite volume limit.
المؤلفون: Pokorny, Martin Peter.
Thesis Advisors: Kennedy, Thomas G., Faris, William G., Maier, Robert S.
بيانات النشر: The University of Arizona., 1992.
سنة النشر: 1992
المجموعة: University of Arizona
Original Material: 712789782
9234878
مصطلحات موضوعية: Dissertations, Academic., Physics.
الوصف: Various results concerning the spectra of the Ising model in a strong transverse field and the anisotropic Heisenberg antiferromagnet are proved. It is proved that the ground state energy of the Ising model in a strong transverse field in all dimensions converges to its infinite volume limit exponentially with a specific power law correction. It is also proved that this model in all dimensions has continuous spectrum in the infinite volume limit. For the anisotropic Heisenberg antiferromagnet it is proved that in dimensions of at least two, the energy spectrum contains a continuous part in the infinite volume limit. All results are obtained by perturbation theory using polymer expansions.
Original Identifier: oai:arizona.openrepository.com:10150/185880
نوع الوثيقة: Text
اللغة: English
الاتاحة: http://hdl.handle.net/10150/185880
Rights: Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
رقم الانضمام: edsndl.arizona.edu.oai.arizona.openrepository.com.10150.185880
قاعدة البيانات: Networked Digital Library of Theses & Dissertations