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Quantum mechanics demystified

Author: David McMahon
Publisher: New York : McGraw-Hill Education, [2013]
Series: '">McGraw-Hill "Demystified" series.
Edition/Format:   Print book : English : Second EditionView all editions and formats
Database:WorldCat
Summary:
"The second edition of this bestseller is updated with reworked equations, all-new quizzes and test questions, clearer explanations of the material, and a completely refreshed interior design"--
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Document Type: Book
All Authors / Contributors: David McMahon
ISBN: 9780071765633 0071765638
OCLC Number: 842307310
Notes: Includes index.
Description: xiv, 506 pages : illustrations ; 23 cm
Contents: 1. Historical review --
Blackbody radiation and Planck's Formula --
The photoelectric effect --
The Bohr theory of the atom --
De Broglie's hypothesis --
2. Basic developments --
The Schrödinger equation --
The probability interpretation and normalization --
Expansion of the wave function and finding coefficients --
The phase of wavefunction --
Operators in quantum mechanics --
Momentum and the uncertainty principle --
The conservation of probability --
3. The time-independent Schrödinger Equation --
The free particle --
Bound states and 1-d scattering --
Parity --
Ehrenfest theorem --
4. An introduction to Hilbert Space --
5. The mathematical structure of quantum mechanics I --
Linear vector spaces --
Basis vectors --
Expanding a vector in terms of a basis --
Orthonormal sets and the Gram-Schmidt procedure --
Dirac algebra with Bras and Kets --
6. The mathematical structure of quantum mechanics II --
Linear operators --
Eigenvalues and eigenvectors --
The Hermitian conjugate of an operator --
The commutator --
7. The mathematical structure of quantum mechanics III --
Change of basis and unitary transformations --
Similarity transformations --
Finding a similarity transformation for a Matrix C --
The generalized uncertainty relation --
Projection operators --
Functions of operators --
Generalization to continuous spaces --
8. The foundations of quantum mechanics --
Postulates of quantum mechanics --
Spectral decomposition --
Projective measurements --
The completeness relation --
Completely specifying a state with a CSCO --
The Heisenberg versus Schrödinger pictures --
Describing composite systems in quantum mechanics --
The matrix representation of a tensor product --
The tensor product of state vectors --
The density operator --
The density operator for a completely mixed state --
A brief introduction to the Bloch vector --
9. The harmonic oscillator --
The solution of the harmonic oscillator in the position representation --
The operator method for the harmonic oscillator --
Number states of the harmonic oscillator --
more on the action of the raising and lowering operators --
10. Angular momentum --
Commutation relations --
Uncertainty relations --
Generalized angular momentum and the ladder operators --
Matrix representations of angular momentum --
Coordinate representation of orbital angular momentum and the spherical harmonics --
11. Spin-1/2 systems --
The Stern-Gerlach experiment --
Ladder operators --
Unitary transformations --
The outer product representation of the spin operators --
The Pauli Matrices --
Time evolution --
Density operator --
12. Quantum mechanics in three dimensions --
The 2-D square well --
Overview of a particle in a central potential --
Hydrogen atom --
13. Identical particles --
Fermions and bosons --
The Pauli exclusion principle --
The Periodic Table --
14. Time-independent perturbation theory --
The Stark effect --
15. Applications of perturbation theory to the hydrogen atom --
The fine structure of hydrogen --
The Zeeman effect --
Hyperfine splitting --
16. Time-dependent perturbation theory --
"Pictures" in quantum theory --
Two-level systems --
Fermi's' Golden Rule --
The emission and absorption of radiation --
17. Scattering --
Scattering amplitudes --
The Born approximation.
Series Title: McGraw-Hill "Demystified" series.
Responsibility: David McMahon.

Abstract:

The second edition of this bestseller is fully revised with reworked equations, all-new quizzes and test questions, four new chapters, and a completely refreshed interior design.  Read more...

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