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E-book
Author Bolivar, Nelson, 1978- author.

Title Quantum mechanics : axiomatic theory with modern applications / Nelson E. Bolivar, PhD, Gabriel Abellán, BSc
Published Oakville, ON ; Waretown, NJ : Apple Academic Press, [2018]
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Description 1 online resource (xxxiv, 340 pages)
Contents 880-01 Introduction to superposition principle waves -- The wave function: expectations, values, and uncertainty -- The Schrödinger equation -- Quantum axiomatics -- Quantum measurements -- Path integral formulation of quantum mechanics -- Supersymmetry in quantum mechanics -- Quantum persistent currents -- Cryptography and quantum mechanics -- Non-equilibrium quantum -- Introductory spintronics -- Quantum dots -- Magnetic resonance -- Introductory theory of scattering -- Introduction to Quantum Hall effect
880-01 Machine generated contents note: 1. Introduction to Superposition Principle Waves -- 1.1. Waves Superposition -- 2. Wave Function, Expectations Values, and Uncertainty -- 2.1. Foundations of Quantum Mechanics -- 2.2. Postulates of Quantum Mechanics -- 2.3. Uncertainty and Expectation Values -- 2.4. Compatibility Condition Between Observable -- 2.5. Relation of Indeterminacy -- 2.6. Evolution Operator -- 3. Schrodinger Equation -- 3.1. Introduction -- 3.2. Symmetry Transformations -- 3.3. Equation of Motion of a Free Particle -- 3.4. Temporal Evolution Pictures -- 3.5. Solutions of the Schrodinger Equation -- 4. Quantum Axiomatics -- 4.1. Introduction -- 4.2. Postulates -- 5. Quantum Measurements -- 5.1. Introduction -- 5.2. Quantum Measurement -- 6. Path Integral Formulation of Quantum Mechanics -- 6.1. Calculating the Transition Amplitude -- 6.2. Interpretation of the Classical Limit -- 6.3. Functional Integrals and Properties -- 7. Supersymmetry in Quantum Mechanics -- 7.1. Construction of the Supersymmetric Partners -- 7.2. Algebra of a Supersymmetric System -- 7.3. Violation of the Supersymmetry -- 7.4. Successive Factoring of a Hamiltonian -- 8. Quantum Persistent Currents -- 8.1. Persistent Currents -- 8.2. Persistent Charge Currents -- 8.3. Persistent Spin Currents -- 8.4. Equilibrium Currents in a Mesoscopic Ring Coupled to a Reservoir -- 8.5. Decoupled SO Active Ring -- 8.6. Decoherence with Spin Orbit Coupling -- 8.7. Persistent Charge Currents -- 8.8. Persistent Spin Currents -- 8.9. Equilibrium Currents in a Mesoscopic Graphene Ring -- 8.10. Ring Hamiltonian and Boundary Conditions -- 8.11. Closing the Wave Function on a Graphene Ring -- 8.12. Spin-Orbit Coupling -- 8.13. Charge Persistent Currents -- 8.14. Equilibrium Spin Currents -- 8.15. Velocity Operators for Graphene -- 9. Cryptography and Quantum Mechanics -- 9.1. Classical Cryptography -- 9.2. Schrodinger's Cat -- 9.3. Heisenberg Uncertainty Principle -- 9.4. Density Operator -- 9.5. Quantum Computation -- 10. Non-Equilibrium Quantum Mechanics -- 10.1. Systems in Equilibrium -- 10.2. Systems Out of Equilibrium -- 11. Introductory Spintronics -- 11.1. About Spin -- 11.2. Effects Associated to Spintronics -- 11.3. Giant Magnetic Resistance -- 11.4. Spin Valves -- 11.5. Magnetic Tunnel Junction -- 11.6. Julliere Model for TMR -- 11.7. Spin Torque Momentum -- 11.8. Semiconductor Spintronics -- 12. Quantum Dots -- 12.1. Structure of Quantum Dots -- 13. Magnetic Resonance -- 13.1. Spin 1/2 Hilbert Space -- 13.2. Complete Description of a 1/2 Spin Particle -- 13.3. Magnetic Spin Moment -- 13.4. Spatial and Spin Uncorrelated Variables -- 13.5. Magnetic Resonance -- 14. Introductory Theory of Scattering -- 14.1. Amplitude of Scattering f(κ, θ, φ -- 14.2. Born Approximation -- 14.3. Scattering Operator, the S Matrix -- 14.4. Partial Waves Theory for Central Potentials -- 15. Introduction to Quantum Hall Effect -- 15.1. Classical Hall Effect -- 15.2. Two-Dimensional Electronic Systems -- 15.3. Quantum Hall Effect---Integer Quantum Hall Effect
Summary "This new book, Quantum Mechanics: Axiomatic Theory with Modern Applications, will act as a guide through the various aspects of quantum mechanics. It not only involves the basics but also addresses new themes developed in the field in recent years. These include quantum mechanics in relation to electronics, as in quantum dots, spintronics, cryptography, and other more theoretical aspects such as path integral formulation and supersymmetric quantum mechanics. The volume presents a number of mathematical tools and physical consequences derived from quantum mechanics axiomatic. The starting point of the volume is a very brief review of the phenomenology associated with the origins of quantum theory, as the branch of science was understood in the beginning of the 20th century, leading to an interpretation of the results at that time"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record and CIP data provided by publisher; resource not viewed
Subject Axiomatic set theory.
Quantum theory -- Mathematics.
Quantum theory.
Axiomatic set theory.
Quantum theory -- Mathematics.
Quantum theory.
SCIENCE -- Energy.
SCIENCE -- Mechanics -- General.
SCIENCE -- Physics -- General.
Form Electronic book
Author Abellán, Gabriel (Physics professor), author.
LC no. 2018012752
ISBN 1351166255
1351166263
1351166271
135116628X
9781351166256
9781351166263
9781351166270
9781351166287