Quantum Mechanics Announcements and Homework Solutions, Slides of Quantum Mechanics

Download Quantum Mechanics Announcements and Homework Solutions and more Slides Quantum Mechanics in PDF only on Docsity! Announcements Quantum mechanics • Thursday Sep 15 by 7pm: HW # 4 Pb 2.4, 2.5, 2.7, 2.8 • Tuesday Sep 20 by 7pm: HW # 5 Pb 2.10, 2.11, 2.12, 2.13, 2.14 Homework docsity.com No student assigned to the following transmitters: A8E55D1 14AF1DA6 14D424E4 160C968C 1E59FDBA Announcements Quantum mechanics Please register your i-clicker at the class website! docsity.com Quantum mechanics Ch 2.1 Stationary states • General solution 1 ( , ) ( , )n n n x t c x t      / ( , ) ( ) n iE t n nx t x ey    where • Associated expectation value for energy 2 1 n n n H c E    docsity.com Quiz 4 A. It will collapse to the probability density of state y1 B. It will collapse to the probability density of state y2 C. It will remain constant in time D. It will oscillate in time E. It will collapse to zero Quantum mechanics A particle is initially in the combination of two stationary states: What will be the behavior of the density of probability in time? 1 1 2 2( ,0) ( ) ( )x c x c xy y   docsity.com Quantum mechanics Ch 2.2 Infinite square well x 0 a The particle can only exist in this region V(x)=0 for 0<x<a V=∞ else Shape of the wave function? docsity.com Quantum mechanics Ch 2.2 Infinite square well Possible energy values: n n k a   2 2 2 22 n n E ma   Quantization of the energy Each state yn is associated to an energy En docsity.com Quantum mechanics Ch 2.2 Infinite square well Properties of the wave functions yn: x 0 a 1.They are alternatively even and odd 2. Each successive state has one more node 3. They are orthonormal Ground state 1 1, Ey Excited states 2 2, Ey 3 3, Ey * m n nmy y  docsity.com