Quantum Mechanics and Basic Spectroscopy
Quantum Mechanics and Basic Spectroscopy CHEM 163
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This 1 page Class Notes was uploaded by Kylie Smitham on Monday September 7, 2015. The Class Notes belongs to CHEM 163 at University of California - Santa Cruz taught by Staff in Fall. Since its upload, it has received 33 views. For similar materials see /class/182239/chem-163-university-of-california-santa-cruz in Chemistry and Biochemistry at University of California - Santa Cruz.
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Date Created: 09/07/15
SEPARATION OF VARIABLES IN 3 D PARTICLE IN A BOX Schrodinger timeindependent wave equations inside box h2 62 62 62 Ew m Bx 6y 2 IOU2 XXYVZZ Substituting 2 into 1 and dividing by wx y z h2F1 62X162Y 16221 ELY 6x2 Y 6y2 7EJ h2F162Xl hZI lazY 16221 W x2JEWl7W7EJ l l x x since left side is lnction of x and right is function of y 2 h2 FaZXl mtg EXXOC h2F162Y 16221 from 4 Ex h2F162YlE E hZI l 6221 WLVWJ m gj H HE Ey y since left is lnction of y only and right is function of 2 only note Ex constant h2 Faz WWJZW 2 2 ill l EE E 2m Z 622 J x y Call this constant X y 1 2 3 4 5 6 7 8 9
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