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Harmonic Oscillator-Advanced Quantum Physics-Sloved Assignment Problems, Exercises of Quantum Physics
This is solved assignment for Quantum Physics course. It was submitted to Prof. Suvarna Sekhon at Allahabad University. It includes: Harmonic, Oscillator, Overdamped, Critically, Damped, Transformations, Lagrangian, Frame, Reference
Typology: Exercises
2011/2012
1 / 1
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For JRE | gers [a 9G. *¥4)*| Wricr CORRESPONDS To A CRITICALLY DAMPED bLARMON IC ASC LATOR , git) * e**) 4, cos (+ - s)t 4 de 2 5 Be sw (¥- sa q 7 we WHICH CORRESPONDS To AN OVERDAMPED HARMONIC OSCILLATOR , [(-F WE THEN MAE HE TRANSFORMATION TO S-Coop bi NATES GIVE BY St ett a THEN WE HAVE | } ~-Xe -£r Ba , Zz gz 3e* ANID g= -bse + Ss€2 SO THAT THE LAG RANGHAN BECOMES Lts,$3,t) = c. 2et* 2 ett 2.2 . = m( ES - vss+ 5° ~ kK z\ 4 2 It + AND THE SOLvUTions TO LAG PAMICE'S EQUATION BECOMES : a(4z)-4 _ 3 2 -¥s| -Vsgryvs +28 as Ms at 2 | 2 * Ys + YS + 2ES =“ OR WHICH RAS A SOLUTION OF THE Forcih gle) = SIN JR -(LF | SO, Oo THis EXPANDING, Fieame oF REFERENCE THE TOAL ENGRLM OF THE SYSTEM 1% COMGSERVED | . ® , docsity.com