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The wavefunction for the particle in a one-dimensional infinite potential well is given by n²n?h? () NTI V(x, t) = -iEnt/h e sin En 2mL2 with 0

The wavefunction for the particle in a one-dimensional infinite potential well is given by n²n?h? () NTI V(x, t) = -iEnt/h e sin En 2mL2 with 0

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The wavefunction for the particle in a one-dimensional infinite potential well is given by n²n?h? () NTI V (r, t) = sin ,-iEnt/h e En 2mL? with 0<r<L and n 1,2, 3, - . .. 1. Show that (x,t) is normalized.
Transcribed Image Text:The wavefunction for the particle in a one-dimensional infinite potential well is given by n²n?h? () NTI V (r, t) = sin ,-iEnt/h e En 2mL? with 0<r<L and n 1,2, 3, - . .. 1. Show that (x,t) is normalized.
Some Useful Integrals 1 sin(ar) cos(ar)dx sin (ar) + C, 20 2a2r2 - 20x sin(2ax) – cos(2a1) +C. I sin (ar)dr 8a? 20x sin(ar)+ (2 – a²r²) cos(ar) |' sin(ar)dr = +C, sin (xx)dx sin(2ax) + C.
Transcribed Image Text:Some Useful Integrals 1 sin(ar) cos(ar)dx sin (ar) + C, 20 2a2r2 - 20x sin(2ax) – cos(2a1) +C. I sin (ar)dr 8a? 20x sin(ar)+ (2 – a²r²) cos(ar) |' sin(ar)dr = +C, sin (xx)dx sin(2ax) + C.
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