Simultaneous Events
L v
E2 c L
c
v
Tr
Tf
T L D
E1 c v
cTr cTf
L 2 L 2
vTr vTf
T cT
Tf
Tr Tr )
D
v(Tf
c(Tr
Tf )
T
Dv c2
1
If events E1 and E2 are simultaneous in one frame of reference, then in a second frame that moves with speed v
x
x
vt
v2 1 2 c
t
t 1
vx
c2 2 v c2
y z
y z
x
x
vt
2
v 1 2 c
t
t 1
vx
c
2
y z
y z
v2 c2
1
All observers measure c
Burst of light in frame S at t = 0 S' moves with respect to S at velocity v The origins of S and S' coincide o
HW5 Problem #4: An experimenter finds that no photoelectrons are emitted from a particular metal unless the wavelength of light is less than 265 nm. Her experiment will require photoelectrons of maximum kinetic energy 1.9 eV. What frequency light sho
1) A par ticle confined to a one-dimensional box of width L is in a stationary state for which the probability of finding the particle at L/3 from one side of the box is zero. What is the minimum kinetic energy the particle can hav e to be in such a
6.7: Barriers and Tunneling I
Much of what we know about the structure of atoms and nuclei, and about the interaction between particles, has been derived from the results of scattering experiments. A full analysis of scattering events must,
Calculate the transmission probability T for a particle of mass m and energy E incident from the right on the potential step shown in the figure. The energy E indicated by the dashed line is above the height V0 of the potential step. Do this calculat
CHAPTER 7 The Hydrogen Atom
7.1 Application of the Schrdinger Equation to the Hydrogen Atom 7.2 Solution of the Schrdinger Equation for Hydrogen 7.3 Quantum Numbers 7.4 Magnetic Effects on Atomic Spectra The Normal Zeeman Effect 7.5 Intrinsic Spin
Intrinsic Spin
The spinning electron reacts similarly to the orbiting electron in a magnetic field. We should try to find quantites analogous to L, Lz, l, and ml. The magnetic spin quantum number ms has only two values, ms = 1/2.
The electron's
Theory of Special Relativity
It rests on two experimental facts:
1. The principle of relativity (Galileo) 2. The principle of the constancy of the speed of light (Einstein)
The Principle of Relativity
One cannot tell, by any experiment, whether o
"Principle of the invariance of coincidences": when one observer says two events coincide in space and time, so will all other observers.
Moving Clocks run slowly
Moving Sticks shrink
1
The Length of a Moving Stick: Part 1
The length of a meter
Looking at a Moving Clock
Consider a flashing clock (i.e. one that emits a flash of light every time it ticks).
When at rest it ticks every t seconds. You are watching this flashing clock through a telescope as it moves away from you at a velocity
SOLUTIONS-Problems Exam3-Spring 2008 1. Suppose that a particle in the one-dimensional infinite well obeyed a rule that the quantum number n could change by only one unit as the particle make transitions among the excited states. Show that the photon
Review Problems EXAM#2 (Chapters 3-5) PHY-361 Spring 2007
1. A 0.200-pm photon scatters from a free electron that is initially at rest. For what photon scattering angle will be the kinetic energy of the recoiling electron equal the energy of the scat
CHAPTER 4 Structure of the Atom
4.1 4.2 4.3 4.4 4.5 4.6 4.7
The Atomic Models of Thomson and Rutherford Rutherford Scattering The Classic Atomic Model The Bohr Model of the Hydrogen Atom Successes and Failures of the Bohr Model Characteris
CHAPTER 4 Structure of the Atom
4.1 4.2 4.3 4.4 4.5 4.6 4.7
The Atomic Models of Thomson and Rutherford Rutherford Scattering The Classic Atomic Model The Bohr Model of the Hydrogen Atom Successes and Failures of the Bohr Model Characteris
CHAPTER 5
Wave Properties of Matter and Quantum Mechanics I
X-Ray Scattering De Broglie Waves Electron Scattering Wave Motion Waves or Particles? Uncertainty Principle Probability, Wave Functions, and the Copenhagen Interpretation 5.8 Parti
Gaussian Function
When a set of measurements is made of some quantity x in which the experimental errors are random, the result is often a Gaussian distribution. The standard deviation of the measurements is a measure of the spread of x values abou
Einstein’s box
The location of the CM of an isolated system cannot be
changed by any process that occurs inside the system.
Consider a box of length L that rests on a frictionless surface;
the mass M of the box is equally divided between its two ends.
M
An observer in frame S stand ing at the origin observes two flashes of colored light separ ated spatially by x = 2400 m. A b lue flash occurs first, followed by a red flash 5 s later. An ob server in S' moving along the x axis at speed v relative to
Philosophy 307: Philosophy of Law
Spring 2015 Session C (16 Weeks)
3 Credit Hours
Course Description and Goals
The goal of this course is to enable students to become better interpreters and critics of the law. More
specifically, this course will equip st