ADV STAT MECHANICS
ADV STAT MECHANICS PHYS 7240
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This 1 page Class Notes was uploaded by Mrs. Peter Toy on Friday October 30, 2015. The Class Notes belongs to PHYS 7240 at University of Colorado at Boulder taught by Staff in Fall. Since its upload, it has received 19 views. For similar materials see /class/232114/phys-7240-university-of-colorado-at-boulder in Physics 2 at University of Colorado at Boulder.
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Date Created: 10/30/15
Problem Set 2 Phys 7240 Due Feb 3 1 Free Particle The Hamiltonian of a free particle in 1D is given by 1 32 H 777 11 2m 3x2 1 Compute its Green7s function by using the formula Game t Ze iEquottwnxzbx0 12 2 Check that 0G 32G ZE 7 z gt 0 13 that G7 0 0 6 7 07 14 and that 00 GWJOJH 2 L d9 G7y7t1Gl707t2 15 3 Check that K N71 2 m 2 00 l Vilm7 i1 xi Gz0Ne LOO 11 dm 6 220 26 16 2 Harmonic Oscillator The action for a harmonic oscillator is given by 81TdtmiziwzxZlTdtx7mfw2z 21 2 0 0 2 0 dt2 39 39 In this problem you will calculate the Greens function of the Harmonic oscillator between the points 0 0 and xT 07 G07 0 T7 using the approach of operator determinants G0 0T x 22 det 77715722 Lug 1 Find the eigenvalues of the operator 3 gtllt
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