دانلود کتاب Relativistic and Non-Relativistic Quantum Mechanics: Both at Once (Undergraduate Lecture Notes in Physics)

فهرست مطالب :

Preface
About This Book
Contents
About the Author
1 The Need for Quantum Mechanics
1.1 The Stability of Atoms
1.2 Atoms Absorb and Emit Electromagnetic Radiation and the Absorption and Emission Spectra are Formed by a Discrete Set on Lines
1.3 Particles are Waves Kind of
1.4 The Spectrum of the Hydrogen Atom
1.5 Hydrogen Spectral Series
1.6 Fine Structure of the Hydrogen Spectral Lines
1.7 Hyperfine Structure and Lamb Shift
Bibliography
2 The Wave Equation
2.1 The Schrödinger Equation
2.2 The Statistical Interpretation of the Wavefunction
2.3 Operators
2.4 The Time Independent Schrödinger Equation
2.5 The Infinite One-Dimensional Well
2.6 The Free Particle
2.7 Does the Schrödinger Equation Satisfy Expectations?
Bibliography
3 Introducing Relativity in Quantum Mechanics
3.1 The Special Theory of Relativity
3.2 The Klein-Gordon Equation
3.3 The Dirac’s Sea and the Hole Theory
3.4 The Poveda-Poirier-Grave De Peralta Equation
3.5 The Relationship Between the PPGP and the Klein-Gordon Equations
3.6 A Relativistic Particle Trapped in an Infinite One-Dimensional Well
3.7 A Beam of Relativistic Particles in a Constant Potential
Bibliography
4 Other One-Dimensional Problems
4.1 The Harmonic Oscillator
4.2 A Beam of Particles Hitting a Sharp Potential Step
4.3 Particles, Antiparticles, and Exotic Quantum States with Negative Kinetic Energy
Bibliography
5 Quantum Mechanics in Three Dimensions
5.1 The Infinite Cubic Well
5.1.1 The Coulomb Potential
5.1.2 The Angular Equation
5.1.3 The Radial Equation
5.1.4 The Spectrum of Hydrogen
Bibliography
6 Angular Momentum
6.1 Orbital Angular Momentum
6.2 The Quantum Mechanical Spin
6.3 Electron in a Magnetic Field
6.4 The Pauli-Like PPGP Equations
6.5 The Hydrogen Atom
Bibliography
7 Identical Particles
7.1 Atoms
7.2 Fermi Gas
7.2.1 Non-relativistic Fermi-Gas
7.2.2 Relativistic Fermi Gas
7.2.3 Fermi-Gas Stars
7.3 Crystals
Bibliography
8 Some Consequences of Relativity for Quantum Mechanics
8.1 Atoms Cannot Be Too Heavy
8.2 A Possible Frontier Between the Classical and the Quantum World
8.3 About the Observed Asymmetry Between Matter and Antimatter
Bibliography
Annexes
Annex A: Schrödinger-Like and Pauli-Like Relativistic Wave Equations
Annex B: Dirac Equation
Annex C: Classical Versus Quantum
Annex D: Antiparticles
Annex E: A Relativistic Quantum Particle Confined in a Small Spatial Region
Annex F: Mathematical Formalism of Quantum Mechanics
Annex G: About the Non-linearity of the PPGP Equations
Annex H: The Pedagogical Value of the PPGP Equations
Annex I: The Heuristic Value of the PPGP Equations