Lecture 36 - Recap of last lecture Evidence for wave like...

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Recap of last lecture Evidence for wave like behavior of particles: Diffraction and two slit interference patterns These are a consequence of the uncertainty principle D p D x ≥ h Particles can be described by wave-functions y (x,y,z,t) Particle wave-functions give the distribution of particles in space and time. The probability of finding a particle at x,y,z,t is given by | y | 2 The wave-equation for particles is called the Schrödinger equation.
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The particle in a box – A one-dimensional model is a good place to start thinking quantum mechanically. Let’s think of a particle trapped in a box of certain length, surrounded by walls of infinite height. ) ( ) ( ) ( ) ( 2 2 2 2 x E x x U dx x d m y
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The wave functions and energy levels ) ( ) ( ) ( ) ( 2 2 2 2 x E x x U dx x d m y
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The first five wave functions for a particle in a box are shown. The probability of finding the particle near x = L/2 is A. least for n = 1. B.
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This note was uploaded on 01/27/2012 for the course PH 2233 taught by Professor Dipinkardutta during the Spring '11 term at Mississippi State.

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Lecture 36 - Recap of last lecture Evidence for wave like...

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