Infinite Square Well-Quantum Physics and Mechanics-Lecture Slides, Slides of Quantum Mechanics

Download Infinite Square Well-Quantum Physics and Mechanics-Lecture Slides and more Slides Quantum Mechanics in PDF only on Docsity! Homework next week: • Tuesday Sep 20 by 7pm: HW # 5 pb 2.10, 2.11, 2.12, 2.13, 2.14 • Thursday Sep 22 by 7pm: HW # 6 pb 2.19, 2.20, 2.21, 2.22 Announcements Quantum mechanics docsity.com Quiz 6a A. Yes B. No Quantum mechanics Could this function be the wave function of a particle in an infinite square well at a given time? x a 0 Pb. 2.7 docsity.com Quiz 6b A. Yes B. No Quantum mechanics Could this function be a solution for the wave function of a particle in an infinite square well at a given time? x a 0 0 docsity.com Quantum mechanics Ch 2.3 Harmonic oscillator x V(x) F kx  2 2 21 1( ) 2 2 V x kx m x  docsity.com Quantum mechanics Ch 2.3 Harmonic oscillator x V(x) Solving the Schrödinger equation: 2 2 2 ( ) 2 d V x E m dx           2 2 2 2 2 1 2 2 d m x E m dx         221 2 p m x E m        docsity.com Quantum mechanics Ch 2.3 Harmonic oscillator Ladder operators:   1 2 a ip m x m      Raising operator: 11n na n    Lowering operator: 1n na n   Starting from ground state   0 1 ! n n a n   n nE nE  a 1n  nE  a 1n  docsity.com Quiz 6c 1n  2n  3n  A. B. C. D. E. Quantum mechanics n     2 3 na a a a     1n  What will be the final state of the particle after applying this operator? (ignore the coefficients) docsity.com