Unformatted text preview: constant). 1. a) Show that is normalized b) Show that 1 and 2 are orthogonal The Hamiltonian for a harmonic oscillator is given by ˆ H = ! h 2 2 d 2 dx 2 + 1 2 kx 2 2. a) What do the terms in the Hamiltonian represent? What is the form of the potential energy? b) Calculate the energies corresponding to , 1 and 2 using the time independent Schrödinger equation (your answer can be in terms of the constants , , and h ). Do you notice any patterns? Problems from McQuarrie and Simon Chapter 3 28 and 34 Chapter 4 16 and 32...
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This note was uploaded on 09/28/2009 for the course CHEM 120A taught by Professor Whaley during the Spring '07 term at Berkeley.
 Spring '07
 Whaley
 Physical chemistry, Atom, Mole, pH

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