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Cornell - P - 443
Physics 443 Problem Set 5M. Neubert, S.J. Lee(due March 1)Spring 20061. The eigenfunctions of the hydrogen atom corresponding to maximal angular momentum (l = n - 1) are n,n-1,m (r, , ) = 1 (2n)! 2 na3 22r nan-1m e-r/na Yn-1 (, ) ,whe
Cornell - P - 443
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Cornell - P - 443
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Cornell - P - 443
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Cornell - P - 443
Physics 443 Problem Set 7M. Neubert, S.J. Lee(due March 15)Spring 20061 1. For a particle with spin 2 , construct the matrix n S representing the component of spin along a direction n parameterized in terms of spherical coordinates,sin cos
Cornell - P - 443
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Cornell - P - 443
Physics 443 Problem Set 8M. Neubert, S.J. Lee(due March 29)Spring 20061. A system consisting of two particles with spins s1 and s2 is governed by the potential V = V1 (r) + V2 (r) s1 s2 + V3 (r) L S , where r = |r 1 - r2 |, L is the orbital
Cornell - P - 443
Physics 443 Problem Set 9M. Neubert, S.J. Lee(due April 5)Spring 20061. The ClebschGordan coefficients for the addition of orbital angular momentum 1 l = 0 and spin s = 2 to total spin j = l 1 can be written as 21 1 |jmj = A |l(mj - 2 ) | 2
Cornell - P - 443
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Cornell - P - 443
Physics 443 Problem Set 10M. Neubert, S.J. Lee(due April 12)Spring 20061. The fundamental problem in harnessing nuclear fusion is getting two nuclei close enough together for the attractive (but short-range) nuclear force to overcome the Coulo
Cornell - P - 443
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Cornell - P - 443
Physics 443 Preliminary Exam 2M. Neubert, S.J. Lee(April 4)Spring 20061. The Hamiltonian for a particle of charge q in an electro-magnetic field is H= 1 (p - qA(r, t)2 + q (r, t) . 2mThe scalar and vector potentials, and A, determine the el
Cornell - P - 443
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Cornell - P - 443
Physics 443 Preliminary Exam 2 SolutionsM. Neubert, S.J. Lee(April 4)Spring 20061. The Hamiltonian for a particle of charge q in an electro-magnetic field is H= 1 (p - qA(r, t)2 + q (r, t) . 2mThe scalar and vector potentials, and A, deter
Cornell - P - 443
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Cornell - P - 443
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Cornell - P - 443
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Cornell - P - 443
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Cornell - P - 651
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Cornell - P - 651
Relativistic Quantum Field Theory(Physics 651)Mon & Wed: 8:40 am 9:55 am Rockefeller 112This course will provide a modern introduction to relativistic quantum field theory - a subject most working physicists need to know about. The course is int
Cornell - P - 651
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Cornell - P - 651
# " 7vg6| " 54V3zw ( x 0 )# " |2|1$vg!| "riV' ( w x y x { xx { } x x 9~2&zyz2xzVz$y1~2VzzxiVdg$yi9 2d$V~{ zizP`i2~{Ve`VzP{zzxiV$~|yz2yi~{V$zP{2Pd x yx x x { x yx x
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 13: Rate Equations and Dynamic Response of Semiconductor LasersReading: Chuang, Sec. 11.1 11 2 Chuang Sec 11 1 11.2 (See also Coldren, Sec. 5.1 5.3) (The Notes follow primarily Coldrens book) Instructor: Ming C. Wu
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 17: Polarization DependenceReading: Chuang, Sec. 4.1-4.2, 9 5 Chuang Sec 4 1 4 2 9.5 (There is also a good discussion in Coldren, Appendix 8 and 10) Instructor: Ming C. Wu University of California, Berkeley Electrica
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 21: Light-Emitting Diode (LED)Instructor: Ming C. Wu University of California, Berkeley Electrical Engineering and Computer Sciences Dept Dept.EE232 Lecture 21-12008. University of CaliforniaSpontaneous Emissi
Cornell - HMWK - 661
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Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Superstring Theory Fall 2004 Lecture contents (last updated 11/01/04) : 08/26 Introduction to the bosonic string theory.08/31 First quantization of the bosonic string and the appearance of the critical spacetime dimension D = 26 and the gravit
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 1 Due Tuesday 9/7/04 Read Polchinski Ch 1.8/26/04Read Johnson Ch. 1 and earlier parts of Ch. 2. Part 1 (1) Problem 1.2 (2) For the lightest spin-2 closed string mode to be massless, what is the spacetime dimension and what is the
Cornell - HMWK - 661
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Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 3 Due Tuesday 9/21/0409/09/04Read Chapter 2. Homework problems in this chapter will be given in the next homework set. The Jacobi Theta functions i (z, ) are a canonical set of natural analytic functions of the torus. Here we are
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 4 Due Tuesday 9/28/04 Finish reading Chapter 2. Part 1 (1) Problem 2.109/16/04Show this result by starting with the standard 2-dimensional Poisson equation. Find the Coulomb potential. Verify Coulomb's law. Now write the Poisson e
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 5 Due Tuesday 10/05/0409/23/04Briey read Chapter 3. A careful reading of this chapter is reserved for Part II. Part 1 (1) Look at Eq.(3.5.6) (forget about c here). Consider a closed string N-point M-loop scattering amplitude. What
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 6 Due Tuesday 10/19/04 Read Chapter 8. Part 1 (1) Do Problems 1.5 to 1.9. Part 2:10/07/04(2) Bosonize the bc ghost system and verify the background charge (i.e., the coefficient of the second derivative term in T (z) in the linear
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 7 Due Tuesday 10/26/04 Finish reading Chapter 8. Part 110/14/04(1) In class, we constructed the T 2 /Z2 orbifold. For a torus with a Z3 symmetry, we find that T 2 /Z2 is a tetrahedron, with the topology of a sphere. What is the sh
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 8 Due Tuesday 11/2/0410/21/04Read Chapter 10 up to p.37. Type I theory will be saved for later. Part 1 (1) Try to understand the content of the 3 tables. (2) If you are not familiar with SO(N ) representations, you may want to con
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 9 Due Tuesday 11/16/04 Finish reading Chapter 10. Read Chapter 11. Part 111/04/04(1) Count the number of massless modes in both heterotic string models. Part 2: (2) We spent little time on the heterotic model. We shall not come ba
Cornell - HMWK - 661
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Cornell - HMWK - 661
P661 Homework # 1 Due Tuesday 9/7/04 Read Polchinski Ch 1.8/26/04Read Johnson Ch. 1 and earlier parts of Ch. 2. Part 1 (1) Problem 1.2 (2) For the lightest spin-2 closed string mode to be massless, what is the spacetime dimension and what is the
Cornell - LNS - 214
Physics 214 Assignment #3 Due Thursday, September 19 before 5:00 pm Reading for coming lectures: Young & Freedman, Sections 20.1-20-4; 19.6-19.9; 20.5. Skills to be mastered be able to convert between wavelength () and wavenumber (k = 2/); given th
Cornell - LNS - 214
Physics 214 Fall 2002 Problem Set #5, due 10/3Skills to be mastered be able to identify traveling wave solutions f (x - ct) and g(x + ct) and pick out the velocity; be able to use the general solution f (x - ct) + g(x + ct) to the wave equation to
Cornell - LNS - 214
Physics 214, Fall 2002 Assignment #iThis is not a real assignment; it does not need to be turned in. The questions are taken from last fall's Prelim 1. They may be useful as you prepare for our Prelim 1. 1. A damped oscillator is modeled as a mass m
Cornell - LNS - 214
Physics 214Exam I (February 27)Spring 1997NAME:TA:Section:Multiple Choice (35 pts): Short Answer:x 5pts = S1 (15 pts) S2 (30 pts) S3 (20 pts) TOTAL1Multiple Choice: Be sure to put answers in boxes provided M1. (5 pts) Sinusoids and ra
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #6 (due 10/17)Reading for coming lectures: Young & Freedman, Sections 19-619-8, 20-5, 20-7, 21-2, 33-133-4. Review the relevant material from electromagnetism as necessary.Skills to be mastered: being able to relat
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #7 (due 10/24)1. Consider a spring that obeys Hookes law with spring constant , mass m, and relaxed (unstretched) length L0 . The spring is stretched to a length L > L0 . We want to derive the wave equation for longi
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #8 (due 10/31)Reading related to recent and upcoming lectures: Young & Freedman Sections 34-1,2,3,8 and Chapter 35; Elmore & Heald Sections 1.9, 2.1, 2.2, 2.4, 5.1, 5.3, 5.6, 5.7, 8.2, 8.3. 1. In this problem we agai
Cornell - LNS - 214
Page 1 of 7PHYS 214 Homework #2i1Problem 1: Electromagnetic Wave[14 points]An electromagnetic wave hits a detector at t = 0. It reads E = E0 x E0 y (E > 0) and B = B z (B > 0).(a)(4 points)yDraw the vectors E and B.PSfrag repla
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #9 (due 11/14)Skills to be mastered: Be able to determine energy densities (e.g. kinetic, potential, total) and power. Be able to determine the total energies (i.e., integrated densities).1. Young & Freedman Prob
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #10 (due 11/21)Reading: Young & Freedman sections 372,3,4,6; 381,2,3,4,5,6.1. Young & Freedman Problem 38-61. Add: (f) Show that there are N - 2 secondary ("lesser") maxima between each pair of principal maxima. (g
Cornell - LNS - 214
Physics 214 Fall 2002 Assignment #11 (due 12/5)Reading Phasors: Young & Freedman Sections 374, 384, and 385 Quantum Physics: Young & Freedman Sections 377, 402 through 404, 4010, 412, 414, 416, and 421 through 425 Problems 1. Young & Freedman uses p
Cornell - P - 651
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