Typewritten Includes bibliographical references.

Bohm's model for quantum mechanics is examined and a well-known drawback of the model is considered, namely the fact that the model does not conserve energy and momentum.It is shown that the Lagrangian formalism and the use of energy-momentum tensors provide a way of addressing this non-conservation aspect once the model is considered from the point of view of an interacting particle-field system. The full mathematical formulation that is then presented demonstrates that conservation can be reintroduced without disrupting the present agreement of Bohm's model with experiment. / Doctor of Philosphy (PhD)

Vincent W. S. Chan. / Prepard under NASA Grant NGL-22-009-013. Originally presented as the author's thesis (Ph.D), M.I.T. Dept. of Electrical Engineering, l974. / Bibliography: p.128-129.

Thesis (Ph. D.)--University of Texas at Austin, 2006. / Vita. Includes bibliographical references.

No description available.

Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined only on restricted dimensions and their physical significance in contexts such as drawing quantum-classical comparisons is limited by the non-uniqueness of the particular representation. In this thesis it is shown how the mathematical theory of frames provides a unified formalism which accommodates all known quasi-probability representations of finite dimensional quantum systems. It is also shown that any quasi-probability representation is equivalent to a frame representation and it is proven that any such representation of quantum mechanics must exhibit either negativity or a deformed probability calculus. Along the way, the connection between negativity and two other famous notions of non-classicality, namely contextuality and nonlocality, is clarified.

Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined only on restricted dimensions and their physical significance in contexts such as drawing quantum-classical comparisons is limited by the non-uniqueness of the particular representation. In this thesis it is shown how the mathematical theory of frames provides a unified formalism which accommodates all known quasi-probability representations of finite dimensional quantum systems. It is also shown that any quasi-probability representation is equivalent to a frame representation and it is proven that any such representation of quantum mechanics must exhibit either negativity or a deformed probability calculus. Along the way, the connection between negativity and two other famous notions of non-classicality, namely contextuality and nonlocality, is clarified.

No description available.

Thesis (Ph. D.)--University of Missouri-Columbia, 1998. / Typescript. Vita. Includes bibliographical references. Also available on the Internet.

Thesis (Ph. D.)--University of Colorado, 2001. / Includes bibliographical references.