Quantum Mechanics I, Physics 3143: Assignment 4, Fall 2010 1. (a) Substitute Ψ( x,t ) = Ae-λx 2 e-iωt/ 2 into the time dependent Schrodinger equation for a particle of mass m , and determine for which potential V ( x ) and which value of λ it is a stationary state. (b) What is the energy eigenvalue of the stationary state in part (a) ? (c) What is the standard deviation (uncertainty) in position for a particle in the stationary state. ( Do it by inspection! ) Calculate the value of the uncertainty in microns if the particle is an atom of 23 Na and ω = 50s-1 . ( Note: 1 amu ∼ 1 . 66 × 10-27 kg.) 2. Griﬃths problem 2.11 p. 50 3. Griﬃths problem 2.12 p. 50 ( Read example 2.5 before you answer
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This note was uploaded on 01/22/2012 for the course PHYS 3143 taught by Professor Kennedy during the Fall '10 term at Georgia Institute of Technology.