Quantum Mechanics Demystified pdf


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Quantum Mechanics Demystified pdf

Quantum Mechanics Demystified pdf : Pages 407

By David McMahon

Publisher: MGH, Year: 2005

ISBN: 0071455469,9780071455466

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CHAPTER 1 : Historical Review 1
Blackbody Radiation and Planck’s Formula 1
The Photoelectric Effect 6
The Bohr Theory of the Atom 7
de Broglie’s Hypothesis

CHAPTER 2 : Basic Developments 13
The Schrödinger Equation 13
Solving the Schrödinger Equation 18
The Probability Interpretation and Normalization 24
Expansion of the Wavefunction and Finding
Coefficients 35
The Phase of a Wavefunction 44
Operators in Quantum Mechanics 46
Momentum and the Uncertainty Principle 54
The Conservation of Probability 63

CHAPTER 3 : The Time Independent Schrödinger Equation 65
The Free Particle 66
Bound States and 1-D Scattering 74
Parity 88
Ehrenfest Theorem 95

CHAPTER 4 :  An Introduction to State Space 99
Basic Definitions 99
Hilbert Space Definitions 100

CHAPTER 5 : The Mathematical Structure of Quantum
Mechanics I 111
Linear Vector Spaces 111
Basis Vectors 122
Expanding a Vector in Terms of a Basis 124
Orthonormal Sets and the Gram-Schmidt
Procedure 124
Dirac Algebra with Bras and Kets 125
Finding the Expansion Coefficients in the
Representation of Bras and Kets 127

CHAPTER 6 : The Mathematical Structure of Quantum
Mechanics II 131
The Representation of an Operator 133
Eigenvalues and Eigenvectors 142
The Hermitian Conjugate of an Operator 152
The Commutator 167

David McMahon – Quantum Mechanics Demystified-MGH (2005)


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