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Unformatted text preview: PHY6938 Proficieny Exam Spring 2003 March 28, 2003 Modern Physics and Quantum Mechanics 1. Light of wavelength 300 nm strikes a metal plate, producing photoelectrons that move with speed of 0 . 002 c . (a) What is the work function of the metal ? (b) What is the critical wavelength for this metal, so that photoelectrons are pro duced ? (c) What is the significance of the critical wavelength ? 2. A system consists of two distinguishable particles of mass m, bound in an infinite strength onedimensional square well potential of width a . They have no spin and do not interact. The oneparticle states are given by Ψ n ( x ) = s 2 a sin nπ a x (a) Write the 2body Hamiltonian in terms of the individual particle coordinates x 1 and x 2 . Write down the wavefunctions for all excited states. (b) Verify that they are eigenfunctions of the Hamiltonian and find their energy. (c) Consider now that both particles are identical bosons. Write down the excited state wavefunctions. What changes with respect to part (b) ? You may ignorestate wavefunctions....
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This note was uploaded on 03/11/2012 for the course PHY 3900 taught by Professor Staff during the Fall '1 term at FSU.
 Fall '1
 staff
 Work, Light

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