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ModPhy1/

11/19/01

Contents

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Page	Topic
1	Modern Physics 1
2	Contents
3	Syllabus - Course schedule and requirements.
4	Introduction - An Internet Course in Modern Physics.
41	Navigation through the Course
411	Next
42	Structure of the Course
421	Linear Structure
422	Tree Structure
423	How to Study
43	Prerequisites for the Course
44	Correspondence Principle
5	Unit 1. The Theory of Relativity
51	Special Relativity
511	Inertial Frame
5111	Law of Inertia
51111	Isolated Object
5112	Frames of Reference
51121	Coordinate System
5113	Non-inertial Frames
51131	Fictitious Forces
512	Principle of Relativity
513	Speed of Light
5131	Double Stars
5132	Ether
5133	Michelson-Morley Experiment
5134	Stellar Aberration
514	Star Trek Paradox
515	Relative Viewpoint
5151	Lorentz Transform (Gamma)
51511	Galilean Transform
5152	Space is Relative
51521	Length Contraction
515211	Pole and Barn Paradox
5153	Time is Relative
51531	Time Dilation
51532	Simultaneity
515321	Principle of Causality
5153211	Time Travel
5153212	Superluminal Velocities
51532121	Tachyons
51532122	Proper Frame
51533	Doppler Effect
51534	Twin Paradox
5154	Velocity is Relative
51541	Galilean Velocities
51542	Lorentz Velocities
515421	Headlight Effect
5155	Mass is Relative
51551	Massless Particles
5156	Momentum is Relative
5157	Energy is Relative
51571	Binding energy
51572	Antimatter
515721	Creation and Annihilation of Particles
516	Invariant Viewpoint
5161	Events are Invariant
5162	Spacetime is Invariant
51621	Mapping versus Modeling
51622	Spacetime Diagrams
516221	Coordinates
516222	Normalized Diagrams
516223	Quantitative Diagrams
5163	Light Cones are Invariant
51631	Regions of Spacetime
5164	Worldlines are Invariant
51641	Timelines
51642	Spacelines
51643	Null-Lines
51644	Perpendicular Lines
5165	Intervals are Invariant
51651	Metric Equation
51652	Spacetime Geometry
516521	Trigonometry
51653	Coordinate Transformations
516531	Rotated Cartesian Transforms
516532	Lorentz Transformations
5165321	Conventional Units
5166	Fourvectors are Invariant
51661	Vector Algebra
51662	Mass, Momentum, and Energy
51663	Conservation Laws
5167	Tensors are Invariant
51671	Area Tensor
51672	Spring Constant Tensor
51673	Matter Tensor
51674	Electromagnetic Field Tensor
517	Summary
52	General Relativity
521	The Problem with Gravity
5211	Newtonian Gravitation
522	Principle of Equivalence
5221	Locally Inertial Frames
523	Curved Spaces
5231	Extrinsic Curvature
5232	Intrinsic Curvature
524	Einsteinian Gravitation
5241	Tensors
5242	Einstein Tensor
5243	Matter Tensor
525	Tests of General Relativity
5251	Orbit of Mercury
5252	Deflection of Light
5253	Gravitational Redshift
5254	Gravitational Radiation
5255	Black Holes
5256	Cosmological Constant
5257	Modified Field Equation
6	Unit 2. Particle-Wave Duality
61	Distribution of Matter
62	Quantization
621	Oil Drop Experiment
622	e/m Experiment
623	Law of Electrolysis
63	Waves with Particle-like Properties
631	Maxwell’s Theory
632	Hertz’s Experiments
633	Blackbody Radiation
6331	Kirchhoff’s Theorem
6332	Stefan’s Law
6333	Wien’s Law
6334	Rayleigh-Jeans Law
63341	Number of Modes for Waves in a Cavity
6335	Plank’s Law
634	Photoelectric Effect
635	X-Rays Scattering
6351	Bragg Scattering
6352	Compton Scattering
636	Gravitational Redshift
637	Review Problems
64	Models of the Atom
641	Thompson’s Plumb Pudding Model
642	Rutherford’s Nuclear Model
643	Bohr’s Model of the Hydrogen Atom
6431	Reduced Mass Correction
6432	Bohr’s Correspondence Principle
644	Frank-Hertz Experiment
645	Review Problems
65	Particles with Wavelike Properties
651	De Broglie Wavelength
652	Davidsson-Germer Experiment
66	Particle-Wave Duality
661	Particles and Waves
6611	Particles
6612	Waves
662	Fourier Transformations
6621	Fourier Transforms
6622	Summary
663	Wave Packets
664	Uncertainty Principle
6641	Classical Uncertainty
6642	Heisenberg Uncertainty
665	Electron Diffraction through a Double Slit
666	Review Problems
7	Unit 3. One-Dimensional Quantum Mechanics
71	Quantum Concepts
711	Scientific Knowledge
7111	Quantum System
7112	Quantum States
7113	State Function
71131	Polarized Light
71132	Polarized Photons
7114	Known Quantities
712	Experiments
7121	Operations
7122	Variables
71221	Prepared Variables
71222	Hidden Variables
71223	Pseudo Variables
71224	Observables
71225	Classifying Variables
7123	Measurements
7124	Detector
713	Observables
7131	Eigenvalues
7132	Eigenstates
7133	Eigenvalue Equation
7134	Functional Relationship
7135	Uncertainty Relationship
714	Multiple Measurements
7141	Superposition
7142	Probability
7143	Expectation Value
7144	Uncertainty
715	Bra-Ket Product
72	Born Interpretation
73	Fundamental Principles of Quantum Mechanics
731	Inner Product
7311	Normalization
7312	Orthogonality
7313	Complete Orthonormal Set
732	Free Particle Wave Function
733	Operators
7331	Changing States
7332	Operator Algebra
73321	Sum
73322	Product
733221	Commutator
73323	Functions of Operators
734	Schrödinger’s Equation
735	Observables
736	Expectation Values
737	Uncertainties
7371	Sharp Observables
7372	Uncertainty Principle
738	Correspondence Principle
7381	Classical Equations
7382	T+U = E
74	One-Dimensional Applications of Quantum Mechanics
741	Particle in a Box
742	Particle in a Square Well
743	Quantum Oscillator
744	Square Barrier
745	Field Emission
746	Alpha Decay
747	Ammonia Inversion
748	Scanning Tunneling Microscope
75	Review Problems
8	Unit 4. Three-Dimensional Quantum Mechanics
81	3-D Schrodinger Equation
811	3-D Operators
82	Particle in a 3-D Box
83	Central Forces
831	Quantization of Angular Momentum
8311	Magnetic Quantum Number
8312	Orbital Quantum Number
832	Quantization of Energy
8321	Principle Quantum Number
84	Hydrogen Atom
841	Radial Wave Equation
842	Ground State
843	Excited States
85	Orbital Magnetism
851	Zeeman Effect
86	Electron Spin
861	Total Angular Momentum
8611	Spin-Orbit Coupling
87	Exchange Symmetry
871	Exclusion Principle
88	Multi-Electron A