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Principles of Quantum Mechanics

Basic non-relativistic quantum mechanics was developed between 1920 and 1930 and involves a lot of differential equations and matrix algebra. Beyond that states belong to Hilbert spaces, with observables corresponding to Hermitian operators. Dirac bra-ket notation hides beneath its simple formalism a great deal of power. Non-commuting quantum algebras are the quantised versions of classical concepts like angular momentum and Poisson brackets.

Cambridge undergraduate mathematics has multiple quantum mechanics courses, the second of which, Principle of Quantum Mechanics, is taught in the third year. It covers the following areas;

  • Dirac formalism
  • Quantum harmonic oscillator
  • States, operators and pictures
  • Perturbation theory
  • Symmetries and transforms
  • Phenomenological applications

This is a 3rd year lecture course.

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