Lecture 2: The Special Theory of Relativity I
Michelson-Morley Experiment Einstein's postulates of special relativity
1
Classical Relativity: Example
v L A stick length of L is moving with consta
LECTURE 2:
R E L A T I V I T Y- I
Sec 1.1-1.3
16
W H AT I S A N I N E R T I A L R E F E R E N C E
SYSTEM?
A reference frame: a coordinate system in which
locations and times of events are recorded
An
Basic idea of a laser: Exploit positive feedback inherent in stimulated emission: Photon + Excited atom (B) ! Two photons + ground state atom (A) This could lead to "lasing": an avalanche of photons a
Physics 237 Solution to Homework Assignment #1 1-8. (a) This will not yield the same result since distance measured depends on the relative motion of the frames (Lorentz transformation). (b) As we saw
m x 2 6-35. The wave function is given by: 0 x C0 exp . 2h m x 2 2 (a) Normalization: 0 x dx C0 2 exp dx 1 h
2
m x 2 2C0 exp dx 1 h 0 1/ 4 h m 2 2C0 1 C0 2 m
Physics 237 Spring 2005 Solution to Homework Assignment #6
6-2. The time dependent Schrodinger equation is: h2 2 ih V . 2m x 2 t We are given: x,t Aei kx t .
h2 k 2 h2 2 Hence, we get: (
Physics 237 Solution to Homework Assignment #4 4-3. The Lyman series corresponds to wavelengths given by the formula: 1 1 = R 1 2 ;n = 2, 3, 4,. . For _ = 164.1 nm, n = 1.5. So, the observed line i
Physics 237 Spring 2005 Solution to Homework Assignment #3 3-14.
1 . By definition, u() d gives the energy density # hc & exp % )1 $ !kT ( ' d! in the wavelength interval (, +d). Hence, u ( ! )d! = u
Phys 237/237H: Introduction to Modern Physics
Professor S. Alexander Course website is on ANGEL http:/cms.psu.edu Log in with CAC ID/passwd Select Phys 237 (or Phys 237H) Please consult website regula
Summary of Lecture 2
Michelson-Morley Experiment: speed of light is independent of reference frame - no "ether" Einstein's postulates of special relativity:
Principle of relativity: no absolute ref
Summary of Lecture 3
Spacetime diagrams Lorentz contraction: "an object in motion contracts in the direction relative motion" LPROPER
L' =
Time dilation: "A moving clock slows down"
T ' = TPRO
PHYS 237
MODERN PHYSICS
Lecturer: Professor B.S. Sathyaprakash
Institute for Gravitation and Cosmos
Penn State University, 312 Whitmore, [email protected]
TA: Sshorab Borhanian, 322 Whitmore, [email protected]