Elementary Quantum Mechanics in One Dimension


Book Description

One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrödinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrödinger's Equation offers new insight into quantum mechanics at an elementary level. Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed. Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.







Elementary Quantum Mechanics


Book Description

- Includes a new chapter on 'Matrix Mechanics' - 20 new problems added







Elementary Quantum Mechanics


Book Description







Quantum Many-body Systems In One Dimension


Book Description

The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t-J models and Hubbard models. The former, the Calogero-Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin-charge separation, in the context of the explicit models.




Foundational Transformation of Quantum Mechanics


Book Description

Aphysical Quantum Mechanics (AQM) is a deeper and more profound quantum theory. Volume One expands the understanding of quantum reality with the addition of two new fundamental categories: aphysical and elementary consciousness of elementary particles. Using the AQM Theory, Volume One details the explanation of all known and long standing quantum enigmas, including “the collapse of the wave function,” and presents and explains the inner structures of perfect geometry of the photon and the intrinsic electron. AQM brings not only foundational transformation to quantum mechanics, but also to other branches of physics, such as quantum optics and particle physics. The paradigmatic power of AQM is such that the author was able to uncover 47 fundamental misconceptions/absurdities in the Standard Model theory of particle physics, and to make 27 fundamental scientific discoveries, all presented in these Volumes.




The Fundamental Principles of Quantum Mechanics


Book Description

Hailed by Linus Pauling as "excellent," thisgraduate-leveltreatment interweaves applications of theory with development of mathematical structure. Topics include wave packets, two-particle central-field problem, many-particle problem, much more. 1937 edition."




Quantum Physics in One Dimension


Book Description

This volume presents in a pedagogical yet complete way correlated systems in one dimension. After an introduction to the basic concepts of correlated systems, it gives a step-by-step description of the techniques needed to treat one dimension, and discusses the resulting physics.