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Lecture Notes in Logic #45

Logic and Algebraic Structures in Quantum Computing

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Arising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields. Themes range from philosophical examination of the foundations of physics and quantum logic, to exploitations of the methods and structures of operator theory, category theory, and knot theory in an effort to gain insight into the fundamental questions in quantum theory and logic. The book will appeal to researchers and students working in related fields, including logicians, mathematicians, computer scientists, and physicists. A brief introduction provides essential background on quantum mechanics and category theory, which, together with a thematic selection of articles, may also serve as the basic material for a graduate course or seminar.

356 pages, Hardcover

Published February 26, 2016

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March 18, 2018
Tunneling Effect And One Dimensional Barriers In Quantum Mechanics
Quantum mechanical tunneling effect or barrier penetration the the process in which a particle is transmitted through a potential barrier of finite width and height even when its energy is less that that of the barrier height. This is possible due to wave nature of particle and the particle appears to cross the barrier without going over the top. It is used to explain \alpha - decay , field emission, field ionization and tunnel diodes
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