Quantum Physics Notes

Lecture note files.
LEC #	LECTURE NOTES	TOPICS
1	Lecture 1 Notes (PDF)	A 'Weird' Example in Quantum Mechanics, The Fundamental Postulates of Quantum Mechanics, Hilbert Spaces
2	Lecture 2 Notes (PDF)	Inner Products, Dual Space, Orthonormal Bases, Operators, Operators as Matrices in a Given Basis, Adjoint Operators, Operator Examples, Eigenstates and Eigenvalues
3	Lecture 3 Notes (PDF)	More on Matrix Representations, Unitary Transformations, Diagonalization of Hermitian Operators, Simultaneous Diagonalization, Measurement, Spin-1/2 Systems
4	Lecture 4 Notes (PDF)	Spin-1/2 Systems, The Stern-Gerloch Filter Revisited, Compatible and Incompatible Observables, The Generalized Uncertainty Relation, Position and Momentum
5	Lecture 5 Notes (PDF)	The Position Operator, Measurement of Position, Hilbert Spaces, Generalizing to Particles in Dimension d, The Momentum Operator, Momentum Basis, Normalization of Position and Momentum Eigenstates, Minimum Uncertainty States, Momentum and Translation
6	Lecture 6 Notes (PDF)	Solving Problems in Convenient Bases, Brief Aside on Classical Mechanics, The Heisenberg Picture, Energy Eigenstates, Example: Spin Precession in a Magnetic Field
7	Lecture 7 Notes (PDF)	Spin Precession in a Magnetic Field, Schrödinger Picture, Heisenberg Picture, Particle in a Potential, Example: Charged Particle in a Uniform Electric Field, Example: Simple Harmonic Oscillator
8	Lecture 8 Notes (PDF)	General Time Dependent Hamiltonians, Interaction Picture
9	Lecture 9 Notes (PDF)	Spin-1/2 in an AC Field, Resonant Drive, Off-Resonant Drive, Path Integral Formulation of Quantum Mechanics
10	Lecture 10 Notes (PDF)	Path Integral Formulation of Quantum Mechanics, The Propagator, Path Integrals
11	Lecture 11 Notes (PDF)	Path Integrals
12	Lecture 12 Notes (PDF)	Stationary Phase Approximation, Quantum Particles in Electromagnetic ﬁelds, Constant Potentials, Electromagnetic Fields, Gauge Invariance in Quantum Mechanics, Aharonov–Bohm Effect
13	Lecture 13 Notes (PDF)	Aharonov–Bohm Effect, Magnetic Monopoles
14	Lecture 14 Notes (PDF)	QM of a Charged Particle Moving in a Magnetic Monopole Field, Charged Particle in a Uniform Magnetic Field, Degeneracy
15	Lecture 15 Notes (PDF)	Charged Particle in a Uniform Magnetic Field, Quantum Entanglement
16	[Lecture 16 Notes not available]
17	[Lecture 17 Notes not available]
18	Lecture 18 Notes (PDF)	Symmetry Transformations, Continuous Symmetries and Conservation Laws, Time Translations, Rotations
19	Lecture 19 Notes (PDF)	Eigen system of Angular Momentum
20	Lecture 20 Notes (PDF)	Matrix Elements of Angular Momentum Operators, Rotation Groups
21	Lecture 21 Notes (PDF)	SO (3) versus SU (2), Addition of Angular Momentum, Discrete Symmetries
22	Lecture 22 Notes (PDF)	Some Standard Terminology, Wavefunctions Under Parity, Momentum and Angular Momentum, Selection Rules, Time Reversal and Spin
23	Lecture 23 Notes (PDF)	Consequences of Time Reversal Symmetry, Spinless Particles, No Conservation Law, Kramer's Rule for Half-Integer Spin, Uses of Symmetry in Solving the Schrödinger Equation, Symmetric Double-Well Potential, 3D Particle in a Spherically Symmetric Potential, Approximation Methods, Time-Independent Perturbation Theory
24	Lecture 24 Notes (PDF)	Non-degenerate Time-Independent Perturbation Theory, The First-Order Energy Shift, The First-Order Correction to the Eigenstate, The Second-Order Energy Shift, Examples of Time-Independent Perturbation Theory, Spin in a Magnetic Field, The Quadratic Stark effect, Vander Waals Interaction
25	Lecture 25 Notes (PDF)	Degenerate Perturbation Theory, Linear Stark Effect, Time-Dependent Perturbation Theory, SHO in a Time-Dependent Electric Field, Second-Order Transition Amplitude
26	Lecture 26 Notes (PDF)	Harmonic Perturbations, The Photoelectric Effect

Lecture files.
Lec #	TOPICS
1-4	Experimental Evidence for Quantum Mechanics (PDF) Polarization of Light Single Molecule Fluorescence
5-7	The Machinery of Quantum Mechanics (PDF) Hilbert Space State Vectors Bra-Ket Operators and Eigenvalues
8-12	Exactly Solvable Problems (PDF) Operators and States in Real Space Harmonic Oscillator Position Representation and Wave Mechanics Piecewise Constant Potentials
13-15	Matrix Mechanics (PDF) Vector Representation of States Matrices as Operators Interesting Matrix Properties Discrete Variable Representation Variational Method
16-18	Time Dependence (PDF) Energy Eigenstates and Stationary States The Propagator Time Dependence of Average Values Matrix Representations of the Propagator Example: Inversion of the Ammonia Molecule
19-20	Angular Momentum (PDF) Rotations Commutation Relations Eigenstates
21-22	Central Potentials (PDF) Spherical Polar Coordinates Orbital Angular Momentum Operators Spherical Harmonics The Radial Equation Hydrogen-like Atoms Electron Spin
23-24	Addition of Angular Momenta (PDF) Coupled and Uncoupled Bases Recursion Relations The Triangle Rule
25	Wigner-Eckart Theorem (PDF) Spherical Tensors
26-28	Perturbation Theory (PDF)
29-31	Identical Particles (PDF) The Product Basis Symmetry Under Exchange Two Electron Atoms Hartree-Fock Perturbation Theory Configuration Interaction
32-34	The Born-Oppenheimer Approximation (PDF) The Adiabatic Approximation The Coupled Channel Hamiltonian Non-Adiabatic Effects Diabatic States Electron Transfer
35-38	The Hydrogen Molecule (PDF) Minimal Atomic Orbital Basis Molecular Orbital Picture Valence Bond Picture

Quantum Physics Notes

Quantum Physics Notes J D Cresser Department of Physics Macquarie University 31st August 2011. Quantum mechanics is much more than the mechanics of the wave function, and its applicability goes way beyond atomic, molecular or solid state theory. There is an underlying, more general. QUANTUM MECHANICS (PHYS4010) LECTURE NOTES Lecture notes based on a course given by Roman Koniuk. The course begins with a formal introduction into quantum mechanics and then moves to solving different quantum systems and entanglement York University, 2011 Presented by: ROMAN KONIUK LATEXNotes by: JEFF ASAF DROR 2011 YORK UNIVERSITY. Lecture Notes in Quantum Mechanics Doron Cohen Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel These are the lecture notes of quantum mechanics courses that are given by DC at Ben-Gurion University. They cover textbook topics that are listed below, and also additional advanced topics (marked by.) at the same level of. Lecture notes files. LEC # TOPICS; 1: Overview, scale of quantum mechanics, boundary between classical and quantum phenomena 2: Planck's constant, interference, Fermat's principle of least time, deBroglie wavelength 3. This set of supplementary lecture notes is the outgrowth of a course I taught, ECE 487, Quantum Electronics, at ECE Department, University of Illinois at Urbana-Champai

Quantum Mechanics Lecture Notes Pdf