Quantum Mechanics for Nuclear Structure, Volume 1: A Primer

PRELIMS.pdf
	Preface
	Author biographies
		Kris Heyde
		John L Wood
CH001.pdf
	Chapter 1 A theory of polarized photons
		1.1 Polarized lightwaves
		1.2 Polarized photons
		1.3 Uncertainty in experiments
		1.4 Dirac bracket notation
		1.5 Transformation properties of polarizing filter measurements
		1.6 Multiples of kets
		1.7 Exercises
		Reference
CH002.pdf
	Chapter 2 A theory of the Stern–Gerlach experiment for spin-12 particles
		2.1 The Stern–Gerlach experiment
		2.2 Sequences of Stern–Gerlach measurements
		2.3 State representation for spin-12 particles
			2.3.1 Representation with respect to mutually orthogonal axes
			Example 2.1
			Example 2.2
			Example 2.3
			2.3.2 Representation with respect to arbitrary axes
		2.4 The choice of basis kets
		2.5 Exercises
		2.6 An introduction to operators for spin-12 particles
			2.6.1 Outer products of kets and bras as operators
			2.6.2 Column vectors, row vectors, and matrices
			2.6.3 Non-commutation of operators
			2.6.4 The cone of uncertainty for quantum spin-12 particles
		2.7 Exercises
		Reference
CH003.pdf
	Chapter 3 The axioms of quantum mechanics
		3.1 Global axioms of observation
		3.2 Axioms for quantum mechanical observations
		3.3 Axioms for the mathematical structure of quantum mechanics
		3.4 Axioms for the incorporation of ℏ in quantum mechanics
		3.5 Exercise
CH004.pdf
	Chapter 4 Linear spaces and linear operators
		4.1 Definitions and theorems for linear spaces and linear operators
		4.2 Linear spaces, Dirac bras and kets, and operators
		4.3 Outer products of Dirac bras and kets
		4.4 Exercises
CH005.pdf
	Chapter 5 The harmonic oscillator
		5.1 The quantum mechanical one-dimensional harmonic oscillator
		5.2 The quantum mechanical two-dimensional harmonic oscillator
		5.3 Time dependence of the one-dimensional quantum harmonic oscillator
		5.4 Exercises
		5.5 Coherent states and the one-dimensional harmonic oscillator
CH006.pdf
	Chapter 6 Representations: matrices
		6.1 Basics of matrix manipulation
		6.2 Exercises
		6.3 The two-level mixing problem
		6.4 Exercises
		6.5 Unitary transformations and matrix diagonalization
		6.6 Exercises
		6.7 Matrix diagonalization: the Jacobi method
			6.7.1 Example
		6.8 Exercise
		References
CH007.pdf
	Chapter 7 Observables and measurements
		7.1 Basic concepts
		7.2 The uncertainty relation
		7.3 Exercises
		7.4 Mixtures and the density matrix
CH008.pdf
	Chapter 8 Representations: position, momentum, wave functions, and function spaces
		8.1 The concept of a wave function
		8.2 The quantum mechanical structure of position and momentum
		8.3 The wave-like properties of matter
		8.4 Exercises
		References
CH009.pdf
	Chapter 9 Quantum dynamics: time evolution and the Schrödinger and Heisenberg pictures
		9.1 Basic relations
		9.2 Spin precession
		9.3 Exercises
		9.4 Correlation amplitude and the energy–time uncertainty relation
		9.5 The Schrödinger and Heisenberg pictures
		9.6 The free particle in the Heisenberg picture
		9.7 Schrödinger’s wave equation
		9.8 Exercises
		9.9 Alternative derivation of the energy–time uncertainty relation
		9.10 Time-dependent phenomena
		9.11 Time-dependent two-state problems
		9.12 Exercise
		Reference
CH010.pdf
	Chapter 10 Rotations and continuous transformation groups
		10.1 Elements of group theory
		10.2 Matrix groups
		10.3 Exercises
		10.4 Rotations in physical space
		10.5 Exercise
		10.6 Rotations of quantum mechanical states
		10.7 Exercise
CH011.pdf
	Chapter 11 Angular momentum and spin in quantum mechanics
		11.1 The algebra of angular momentum in quantum mechanics
		11.2 Algebraic solution of the quantum mechanical angular momentum problem
		11.3 Exercises
CH012.pdf
	Chapter 12 Central force problems
		12.1 General features of central force problems
		12.2 Central force problems, factorization algebra and isospectral Hamiltonians
		12.3 The hydrogen atom central force problem
		12.4 The three-dimensional isotropic harmonic oscillator central force problem
		12.5 The three-dimensional isotropic infinite square well central force problem
		12.6 Exercises
		12.7 Central force problems and so(2, 1) or su(1, 1) algebra
		12.8 so(2, 1) solution for the hydrogen atom
			Comments
		12.9 so(2, 1) solution for the three-dimensional isotropic harmonic oscillator
		References
CH013.pdf
	Chapter 13 Motion of an electron in a uniform magnetic field
		13.1 Maxwell’s equations
		13.2 The Landau level problem
		13.3 Time dependence of the Landau problem
		13.4 Exercises
		Reference
APP1.pdf
	Chapter
		A.1 Basic definitions
		A.2 Secondary relations
APP2.pdf
	Chapter
		B.1 Hydrogen atom
		B.2 Three-dimensional isotropic harmonic oscillator