Quantum
harmonic
oscillator II

More problems and solutions for the quantum harmonic oscillator
  • 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.
  • Halved quantum harmonic oscillator
  • Different time position-momentum commutators
  • Ground state uncertainty
  • Different time ladder operator commutators
  • Excited state uncertainty
  • Ehrenfest theorem
  • Heisenberg picture: equation of motion
  • Isotropic 2D quantum harmonic oscillator
  • Time evolution operator
  • 2D quantum harmonic oscillator with cross-term
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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