Plans for week 38

Dear all, this week we continue our discussion of the particle-hole formalism with an emphasis on applications and rewriting commutator rules and operators using the new reference vacuum.

The material we cover is found in the weekly slides, the whiteboard notes and chapters 3 and 4 of Shavitt and Bartlett.

Fourth exercise set is at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek38.pdf.

The first exercise is a continuation of the Lipkin model exercises from last week while the second exercise applies the introduction of the new reference state to a redefinition of various many-body operators.

Best wishes to you all,

Morten and Stian

p.s. if we get time we may discuss another way to represent operators for second quantization, the so-called Wigner-Jordan transformation.