A concise introduction to quantum mechanics /
Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamic...
Κύριος συγγραφέας: | |
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Μορφή: | Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
San Rafael [Καλιφόρνια] :
Morgan & Claypool Publishers,
c2018.
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Σειρά: | IOP concise physics.
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Θέματα: | |
Διαθέσιμο Online: | http://iopscience.iop.org/book/978-1-6817-4716-3 |
Πίνακας περιεχομένων:
- 1. Classical mechanics and electromagnetism
- 1.1. Newtonian mechanics
- 1.2. Light and electromagnetism
- 1.3. Properties of Newtonian point particle solutions
- 2. The origins of quantum mechanics
- 2.1. Blackbody radiation and Planck's constant
- 2.2. The photoelectric effect and photons
- 2.3. Electron diffraction and the de Broglie wavelength
- 2.4. Bohr's atom
- 3. The wave function
- 3.1. Basic properties of the wave function
- 3.2. Complex variables
- 3.3. The complex wave function
- 3.4. Fourier series and function spaces
- 3.5. The one-dimensional box
- 4. Wave mechanics
- 4.1. The Schr�odinger equation and its general properties
- 4.2. Observables and the wave function
- 4.3. The Heisenberg uncertainty principle
- 4.4. Wave packets
- 5. Applications of wave mechanics
- 5.1. Barrier reflection and tunneling
- 5.2. The one-dimensional harmonic oscillator
- 5.3. The hydrogen atom
- 5.4. Electromagnetic interactions
- 6. Dirac notation, operators, and matrices
- 6.1. Hilbert space
- 6.2. Hilbert space and Dirac notation
- 6.3. Matrices and basic linear algebra
- 6.4. Representations of quantum mechanics
- 6.5. The linear potential in momentum space
- 6.6. Operator techniques in quantum mechanics
- 6.7. Matrix representations of quantum mechanics
- 6.8. Two state oscillations
- 6.9. Electron diffraction revisited
- 7. Angular momentum, spin, and statistics
- 7.1. Symmetry operations
- 7.2. Rotation group theory
- 7.3. Rotations and quantum mechanics
- 7.4. General angular momentum
- 7.5. Electron spin and spinor representations
- 7.6. Multiparticle states and statistics
- 7.7. Angular momentum addition
- 8. Bibliography.