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Unformatted text preview: PHY4604 Final Exam Department of Physics Page 1 of 8 PHY 4604 Final Exam Name:_________________________________ Monday December 5, 2005 (Total Points = 100) Problem 1 (10 points): Circle true or false for following (1 point each). (a) (True or False) If the expectation value of the operator O op is a real number then O op is hermitian. (b) (True or False) If | > is a (normalized) ket vector, then the operator O op = | >< | has the property that (O op ) 2 = 1. (c) (True or False) If the operator U op is unitary, then its inverse is equal it its hermitian conjugate. (d) (True or False) If P op is the parity operator and if ) 1 ( 2 1 op op P O = , then = op op O O 2 ) ( . (e) (True or False) One can simultaneously know the precise values of commuting observables. (f) (True or False) The overall wave function (space spin) for two identical spin 3/2 particles is always symmetric under the interchange of the two particles. (g) (True or False) A - particle has the same charge as an electron but its mass is 207 times greater, hence the ground state energy of a muonic atom ( - and a proton) is lower than the ground state of hydrogen. (h) (True or False) In SU(2), 3 3 = 4 + 3 + 2. (i) (True or False) If one neglects the electron-electron interactions then the ground state of helium would have a degeneracy of 2. (j) (True or False) The maximum number of electrons that can be in the n th energy level of an atom is n 2 . PHY4604 Final Exam Department of Physics Page 2 of 8 Problem 2 Name:_________________________________________ Problem 2 (30 points): Consider a bead of mass m that slides frictionless...
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This note was uploaded on 04/19/2008 for the course PHY 4604 taught by Professor Field during the Spring '07 term at University of Florida.
- Spring '07