ImportantConcepts10

ImportantConcepts10 - Physics 136 Kip Thorne Important...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 136 Caltech Kip Thorne January 16, 2003 Important Concepts Chapters 1 through 10 I. Frameworks for physical laws and their relationships to each other A.General Relativity, Special Relativity and Newtonian Physics: Sec. 1.1 B.Phase space for a collection of particles: Chap 2 C.Phase space for an ensemble of systems: Chap 3 D.Relationship of Classical Theory to Quantum Theory 1. Mean occupation number as classical distribution function: Sec. 2.3 2. Mean occupation number determines whether particles behave like a classical wave, like classical particles, or quantum mechanically: Secs. 2.3 & 2.4; Ex. 2.1; Fig. 2.5 3. Geometric optics of a classical wave is particle mechanics of the wave's quanta: Sec. 6.3 4. Geometric optics limit of Schrodinger equation is classical particle mechanics: Ex. 6.6 II. Physics as Geometry A.Newtonian: coordinate invariance of physical laws 1. Idea Introduced: Sec. 1.2 2. Newtonian particle kinetics as an example: Sec. 1.4 3. Equations of elasticity; a.expansion, rotation and shear: Sec. 10.2 b.Elastic stress tensor and force balance: Sec. 10.4 B.Special relativistic: frame-invariance of physical laws 1. Idea introduced: Sec. 1.2 2. Relativistic particle kinetics: Sec. 1.4 3. 4-momentum conservation: Secs. 1.4 & 1.12 a.Stress-energy tensor: Sec. 1.12 4. Electromagnetic theory: Sec. 1.10 a.Lorentz force law: Sec. 1.4 5. Kinetic theory: Chap. 2 a.Derivation of equations for macroscopic quantities as integrals over momentum space [Sec. 2.5] b.Distribution function is frame-invariant and constant along fiducial trajectories [Secs. 2.2 & 2.7] C.Statistical mechanics: invariance of the laws under canonical transformations (change of generalized coordinates and momenta in phase space): Sec. 3.2, Ex. 3.1 D.Elasticity: irreducible tensorial parts of strain tensor: expansion, shear and rotation: Sec. 10.2, Box 10.1 III. 3+1 Splits of spacetime into space plus time, and resulting relationship between frame-invariant and frame-dependent laws of physics A.Particle kinetics: Sec. 1.6 B.Electromagnetic theory: Sec. 1.10 C.Continuum mechanics; stress-energy tensor: Sec. 1.12 D.Kinetic theory: Secs. 2.2, 2.5 & 2.7 1. Cosmic microwave radiation viewed in moving frame: Ex. 2.3 IV. Spacetime diagrams
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
A.Introduced: Sec. 1.7 B.Simultaneity breakdown, Lorentz contraction, time dilation: Exercise 1.11 C.The nature of time; twins paradox, time travel: Sec. 1.8 D.Global conservation of 4-momentum: Secs. 1.6 & 1.12 E. Kinetic theory -- Momentum space: Sec. 2.2 V. Statistical physics concepts A.Systems and ensembles: Sec. 3.2 B. Distribution function 1. For particles: Sec. 2.2 2. For photons, and its relationship to specific intensity: Sec. 2.2 3. For systems in statistical mechanics: Sec. 3.2 4. Evolution via Vlasov or Boltzmann transport equation: Sec. 2.7 a.Kinetic Theory: Sec 2.7 b.Statistical mechanics: Sec. 3.3 5. For random processes: hierarchy of probability distributions: Sec. 5.2 C.Thermal equilibrium 1. Kinetic-theory distribution functions: Sec. 2.4 2.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 04/17/2010.

Page1 / 6

ImportantConcepts10 - Physics 136 Kip Thorne Important...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online