Quantum Physics in One Dimension

Quantum Physics in One Dimension
Author :
Publisher : Oxford University Press
Total Pages : 441
Release :
ISBN-10 : 9780198525004
ISBN-13 : 0198525001
Rating : 4/5 (04 Downloads)

Synopsis Quantum Physics in One Dimension by : Thierry Giamarchi

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.

Elementary Quantum Mechanics in One Dimension

Elementary Quantum Mechanics in One Dimension
Author :
Publisher : JHU Press
Total Pages : 248
Release :
ISBN-10 : 0801880149
ISBN-13 : 9780801880148
Rating : 4/5 (49 Downloads)

Synopsis Elementary Quantum Mechanics in One Dimension by : Robert Gilmore

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.

Mathematical Physics in One Dimension

Mathematical Physics in One Dimension
Author :
Publisher : Academic Press
Total Pages : 580
Release :
ISBN-10 : 9781483218564
ISBN-13 : 1483218562
Rating : 4/5 (64 Downloads)

Synopsis Mathematical Physics in One Dimension by : Elliott H. Lieb

Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.

The Picture Book of Quantum Mechanics

The Picture Book of Quantum Mechanics
Author :
Publisher : Springer Science & Business Media
Total Pages : 442
Release :
ISBN-10 : 9781468402339
ISBN-13 : 1468402331
Rating : 4/5 (39 Downloads)

Synopsis The Picture Book of Quantum Mechanics by : Siegmund Brandt

In learning quantum theory, intuitions developed for the classical world fail, and the equations to be solved are sufficiently complex that they require a computer except for the simplest situations. This book represents an attempt to jump the hurdle to an intuitive understanding of wave mechanics by using illustrations to present the time evolution and parameter dependence of wave functions in a wide variety of situations. Most of the illustrations are computer-generated solutions of the Schrödinger equation for one- and three-dimensional systems, with the situations discussed ranging from the simple particle in a box through resonant scattering in one dimension to the hydrogen atom and Regge classification of resonant scattering. Thoroughly revised and expanded to include a discussion of spin and magnetic resonance.

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems
Author :
Publisher : Springer
Total Pages : 186
Release :
ISBN-10 : 9783319484877
ISBN-13 : 3319484877
Rating : 4/5 (77 Downloads)

Synopsis An Introduction to Integrable Techniques for One-Dimensional Quantum Systems by : Fabio Franchini

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.

The Physics of Quantum Mechanics

The Physics of Quantum Mechanics
Author :
Publisher : Oxford University Press, USA
Total Pages : 408
Release :
ISBN-10 : 9780199688579
ISBN-13 : 0199688575
Rating : 4/5 (79 Downloads)

Synopsis The Physics of Quantum Mechanics by : James Binney

This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

Understanding Quantum Physics

Understanding Quantum Physics
Author :
Publisher : Addison-Wesley Professional
Total Pages : 696
Release :
ISBN-10 : UOM:39015059098759
ISBN-13 :
Rating : 4/5 (59 Downloads)

Synopsis Understanding Quantum Physics by : Michael A. Morrison

Written in an informal yet substantive style that is a joy to read, this book provides a uniquely engaging, in-depth introduction to the concepts of quantum physics and their practical implementation, and is filled with clear, thorough explanations that help readers develop insight into physical ideas and master techniques of problem-solving using quantum mechanics. Fully explores the concepts and strategies of quantum mechanics, showing the connections among the physical concepts that govern the atomic and sub-atomic domain of matter, and examining how these concepts manifest themselves in the mathematical machinery of quantum mechanics. Focuses on the explanations and motivations of the postulates that underlie the machinery of quantum mechanics, and applies simple, single-particle systems in one dimension. Illuminates discussions of ideas and techniques with a multitude of examples that show not just the answers but also the reasoning behind them, and adds dimension to the subject with historical, biographical and philosophical references throughout. Designed for a wide range of readers interested in various branches of physics and engineering physics.

Principles of Quantum Mechanics

Principles of Quantum Mechanics
Author :
Publisher : Springer Science & Business Media
Total Pages : 676
Release :
ISBN-10 : 9781475705768
ISBN-13 : 147570576X
Rating : 4/5 (68 Downloads)

Synopsis Principles of Quantum Mechanics by : R. Shankar

R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Quantum Physics

Quantum Physics
Author :
Publisher : Springer
Total Pages : 318
Release :
ISBN-10 : 9783662565841
ISBN-13 : 3662565846
Rating : 4/5 (41 Downloads)

Synopsis Quantum Physics by : A.I Lvovsky

This textbook is intended to accompany a two-semester course on quantum mechanics for physics students. Along with the traditional material covered in such a course (states, operators, Schrödinger equation, hydrogen atom), it offers in-depth discussion of the Hilbert space, the nature of measurement, entanglement, and decoherence – concepts that are crucial for the understanding of quantum physics and its relation to the macroscopic world, but rarely covered in entry-level textbooks. The book uses a mathematically simple physical system – photon polarization – as the visualization tool, permitting the student to see the entangled beauty of the quantum world from the very first pages. The formal concepts of quantum physics are illustrated by examples from the forefront of modern quantum research, such as quantum communication, teleportation and nonlocality. The author adopts a Socratic pedagogy: The student is guided to develop the machinery of quantum physics independently by solving sets of carefully chosen problems. Detailed solutions are provided.

Quantum Theory for Mathematicians

Quantum Theory for Mathematicians
Author :
Publisher : Springer Science & Business Media
Total Pages : 566
Release :
ISBN-10 : 9781461471165
ISBN-13 : 1461471168
Rating : 4/5 (65 Downloads)

Synopsis Quantum Theory for Mathematicians by : Brian C. Hall

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.