PHYS-E0420 - Many-body Quantum Mechanics D, Lecture, 11.1.2023-18.4.2023

Topic outline

• Assignments
  • Select activity Exercise 1

    Available until end of 9 June 2023

    

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    Exercises and some tips related to Lecture 1 (added also lecture notes for time-ordering from http://scipp.ucsc.edu/~haber/ph215/TimeOrderedExp.pdf)

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    Return box for exercise 1. Remember to fill also your self-evaluation (3rd problem 0...4 points). System accepts a single pdf-file so possibly convert your solutions from separate clear image files into a single pdf if needed. Deadline 20st Friday at 12:15.

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    set 3... on 2nd quantization
    Note: tip for problem 3 has a potential confusion. It states i_1 means particle 1 is in state i, but you should understand i_1 to mean the state label for particle 1. I.e. i_2 might be a different state and doesn't imply that particle 2 is also in the state i.
    
    
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    Available until 3 February 2023, 1:00 PM

    

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  • Select activity Exercise 8

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    Set on Bose-Einstein condensation. These Thomas Clark lecture notes from Purdue have the derivation of the Euler-Lagrange equations in the beginning. Then it continues to discussing even quantization. 

    https://www.physics.purdue.edu/~clarkt/Courses/Physics662/ps/qftch21.pdf
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    Available until 18 March 2023, 12:00 PM

    

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    Available until 26 March 2023, 5:00 PM

    

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    Exercise 9 was largely a numerical challenge you were expected so solve. Return your solutions, figures, and code here. Note: maximum number of uploadable files is set to 3. Preferably just one pdf and tar or zip package of your code.

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    Available until 1 April 2023, 12:00 PM

    

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    Available until end of 7 April 2023

    

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  • Select activity Exercise 12

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    Some sample reading material on problem 2:
    

    • Fairly long read on Berry phase and Aharonov-Bohm effect
    • The Aharonov-Bohm Effects: Variations on a Subtle Theme (Physics Today 2009)
      
    • Classic experimental paper "Shift of an Electron Interference Pattern by Enclosed Magnetic Flux": Chambers 1960
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    Available until 15 April 2023, 12:25 PM

    

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    You can return your solutions here. Deadline 14th of April 12:15.