Second quantization

Problems and solutions on second quantization
  • Professor M

    Answers your questions
  • 42 questions

    With detailed solutions

What's included?

  • 42 questions
  • Grouped into 10 problems
  • Solutions step by step
  • Answers to your questions

Interactive

You can ask any questions you have and Professor M will respond to you

Every mathematical step

We derive everything in pedantic detail

Syllabus

This problem set will allow you to dig deep into the following topics.
  • Anticommutator algebra
  • Two-body reduced density matrix
  • Number operator
  • Local and two-particle densities
  • Operators in different bases
  • Two-particle density for Fock states
  • Bogoliubov transformations
  • Expectation value of interaction energy
  • One-body reduced density matrix
  • Direct and exchange interaction terms
Meet the instructors

Professor M

Mireia Crispin and Bartomeu Monserrat are Professors at the University of Cambridge in the UK. They each have 10+ years experience teaching quantum mechanics to undergraduate and graduate students at Cambridge and Oxford, as well as experience teaching students from across the globe in short (1-2 weeks) academic schools. 
Patrick Jones - Course author
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