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Quantum Mechanics: Axiomatic Theory with Modern Applications [Mīkstie vāki]

(Point Pleasant, New Jersey, USA), (Point Pleasant, New Jersey, USA)
  • Formāts: Paperback / softback, 374 pages, height x width: 229x152 mm, weight: 453 g, 40 Illustrations, color; 47 Illustrations, black and white
  • Izdošanas datums: 31-Mar-2021
  • Izdevniecība: Apple Academic Press Inc.
  • ISBN-10: 1774631733
  • ISBN-13: 9781774631737
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  • Cena: 110,63 €
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  • Formāts: Paperback / softback, 374 pages, height x width: 229x152 mm, weight: 453 g, 40 Illustrations, color; 47 Illustrations, black and white
  • Izdošanas datums: 31-Mar-2021
  • Izdevniecība: Apple Academic Press Inc.
  • ISBN-10: 1774631733
  • ISBN-13: 9781774631737
Citas grāmatas par šo tēmu:
This volume will act as a guide through the various aspects of quantum mechanics. It not only covers the basics but also addresses new themes developed in the field of quantum mechanics in recent years. These include quantum mechanics in relation to electronics, quantum dots, spintronics, cryptography, and other more theoretical aspects, such as the path integral formulation and supersymmetric quantum mechanics.





The volume presents a number of mathematical tools and physical consequences derived from quantum mechanics. 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.





Key features:





Provides understanding and demystification of the quantum theory





Presents applications to information theory and encryption





Introduces applications to medicine, in both treatment and diagnosis





Covers applications to modern communications systems





Looks at the philosophical implications of quantum mechanics, its reality, and its perception





Describes the application to the basics of solid state devices
About the Authors vii
List of Abbreviations
xiii
List of Symbols
xv
List of Figures
xvii
Preface xxv
Acknowledgments xxvii
Introduction xxix
1 Introduction to Superposition Principle Waves
1(10)
1.1 Waves Superposition
1(10)
2 The Wave Function, Expectations Values, and Uncertainty
11(26)
2.1 The Foundations of Quantum Mechanics
11(14)
2.2 The Postulates of Quantum Mechanics
25(6)
2.3 Uncertainty and Expectation Values
31(1)
2.4 Compatibility Condition Between Observable
32(1)
2.5 Relation of Indeterminacy
33(1)
2.6 Evolution Operator
34(3)
3 The Schrodinger Equation
37(18)
3.1 Introduction
37(1)
3.2 Symmetry Transformations
37(2)
3.3 Equation of Motion of a Free Particle
39(1)
3.4 Temporal Evolution Pictures
39(6)
3.5 Solutions of the Schrodinger Equation
45(10)
4 Quantum Axiomatics
55(8)
4.1 Introduction
55(1)
4.2 The Postulates
55(8)
5 Quantum Measurements
63(12)
5.1 Introduction
63(1)
5.2 The Quantum Measurement
64(11)
6 Path Integral Formulation of Quantum Mechanics
75(18)
6.1 Calculating the Transition Amplitude
77(2)
6.2 Interpretation of the Classical Limit
79(4)
6.3 Functional Integrals and Properties
83(10)
7 Supersymmetry in Quantum Mechanics
93(20)
7.1 Construction of the Supersymmetric Partners
96(3)
7.2 Algebra of a Supersymmetric System
99(4)
7.3 Violation of the Supersymmetry
103(6)
7.4 Successive Factoring of a Hamiltonian
109(4)
8 Quantum Persistent Currents
113(50)
8.1 Persistent Currents
113(3)
8.2 Persistent Charge Currents
116(3)
8.3 Persistent Spin Currents
119(3)
8.4 Equilibrium Currents in a Mesoscopic Ring Coupled to a Reservoir
122(1)
8.5 The Decoupled SO Active Ring
122(2)
8.6 Decoherence with Spin Orbit Coupling
124(6)
8.7 Persistent Charge Currents
130(6)
8.8 Persistent Spin Currents
136(3)
8.9 Equilibrium Currents in a Mesoscopic Graphene Ring
139(4)
8.10 Ring Hamiltonian and Boundary Conditions
143(3)
8.11 Closing the Wave Function on a Graphene Ring
146(2)
8.12 Spin-Orbit Coupling
148(5)
8.13 Charge Persistent Currents
153(6)
8.14 Equilibrium Spin Currents
159(2)
8.15 Velocity Operators for Graphene
161(2)
9 Cryptography and Quantum Mechanics
163(30)
9.1 Classical Cryptography
163(5)
9.2 Schrodinger's Cat
168(2)
9.3 Heisenberg Uncertainty Principle
170(2)
9.4 The Density Operator
172(7)
9.5 Quantum Computation
179(14)
10 Non-Equilibrium Quantum Mechanics
193(18)
10.1 Systems in Equilibrium
193(7)
10.2 Systems Out of Equilibrium
200(11)
11 Introductory Spintronics
211(26)
11.1 About Spin
211(4)
11.2 Effects Associated to Spintronics
215(1)
11.3 Giant Magnetic Resistance
216(4)
11.4 Spin Valves
220(1)
11.5 Magnetic Tunnel Junction
221(2)
11.6 Julliere Model for TMR
223(2)
11.7 Spin Torque Momentum
225(4)
11.8 Semiconductor Spintronics
229(8)
12 Quantum Dots
237(14)
12.1 Structure of Quantum Dots
238(13)
13 Magnetic Resonance
251(18)
13.1 Spin 1/2 Hilbert Space
252(2)
13.2 Complete Description of a 1/2 Spin Particle
254(2)
13.3 Magnetic Spin Moment
256(2)
13.4 Spatial and Spin Uncorrected Variables
258(1)
13.5 The Magnetic Resonance
258(11)
14 Introductory Theory of Scattering
269(16)
14.1 Amplitude of Scattering ·(k, θ φ)
270(6)
14.2 Born Approximation
276(3)
14.3 The Scattering Operator, the S Matrix
279(2)
14.4 Partial Waves Theory for Central Potentials
281(4)
15 Introduction to Quantum Hall Effect
285(28)
15.1 Classical Hall Effect
285(7)
15.2 Two-Dimensional Electronic Systems
292(12)
15.3 The Quantum Hall Effect---Integer Quantum Hall Effect
304(9)
Bibliography 313(8)
Index 321
Nelson Bolivar, PhD, is currently a Physics Professor in the Physics Department at the Universidad Central de Venezuela, where he has been teaching since 2007. His interests include quantum field theory applied in condensed matter and AdS/CMT duality. He obtained his PhD in physics from the Université de Lorraine (France) in 2014 in a joint PhD with the Universidad Central de Venezuela. His BSc in physics is from the Universidad Central de Venezuela.





Gabriel Abellįn, PhD, is a Professor of Physics in the Physics Department at the Universidad Central de Venezuela. He has taught several courses since 2013, including Classical Mechanics, Waves and Optics, and Statistical Physics, among others. He received his BS degree at the Universidad Central de Venezuela and is currently doing his doctorate research under Professor Nelson Bolivars supervision. Professor Abellįn has collaborated with Santillana Publishers (Venezuela) in the writing, revision, and correction of several physics books used in high school education. His current interests are thermal field theories, gauge-gravity duality, and relationships between the theory of dynamical systems and quantum field theory, particularly regarding some aspects of renormalization. Professor Gabriel Abellįn is an active science communicator and writes an informal blog about general science curiosities. In addition, he also conducts the choir of the Science Faculty at the Universidad Central de Venezuela that performs regularly in Caracas.