Probabilities Discrete Variables-Quantum Physics and Mechanics-Lecture Slides, Slides of Quantum Mechanics

Download Probabilities Discrete Variables-Quantum Physics and Mechanics-Lecture Slides and more Slides Quantum Mechanics in PDF only on Docsity! Quantum mechanics Announcements Monday Sep 5: NO CLASS (Holiday) Help session: T Th 3-6pm Homework #1: Today Sep 2 by 7pm Homework #2: Wed Sep 7 by 7pm Homework docsity.com Quantum mechanics Probabilities Discrete variables Examples of discrete distributions: Distribution of scores in a class Age pyramid for a certain population (Utah, 2000) docsity.com Quantum mechanics Probabilities Discrete variables The deviation: j j j   Variance 0j    2 22 2j j j     The standard deviation 22j j   docsity.com Spectral analysis of a photograph brightness intensity Quantum mechanics Probabilities Discrete variables The variance defines how wide/narrow a distribution is Distribution of scores in a class Wide: large  Narrow: small  docsity.com Quantum mechanics Probabilities Continuous variables The density of probability: ( )x Probability to find the particle between positions a and b: ( ). b a x dx Normalization: ( ). 1x dx    The probability of finding the particle in the segment dx ( )P x dx docsity.com Quiz 1b Is this wave function square integrable or not?   ( , ) i t kx x t Ae     A. YES B. NO Quantum mechanics docsity.com Quantum mechanics Normalization of Wave function Normalization: 2 ( , ) 1x t     Evolution of  in time? If  satisfies the Schrödinger equation and is normalizable, then 2 ( , ) 0 d x t dt           docsity.com