Quantum
harmonic
oscillator I

Problems and solutions for the quantum harmonic oscillator
  • Professor M

    Answers your questions
  • 44 questions

    With detailed solutions

What's included?

  • 44 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.
  • Positive eigenvalues
  • Fourier transform of the Hamiltonian
  • Power series mathematical solution
  • Momentum energy eigenstates
  • Power series eigenvalues
  • Translation operator
  • Power series eigenfunctions
  • QHO in electric field: unitary transformation
  • Momentum ground state eigenfunction 
  • QHO in electric field: position representation
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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