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Quantum Mechanics

Quantum mechanics underpins much of the modern world due to its application to transistors.  It also forms the basis for quantum field theory, string theory and quantum gravity. Basic non-relativistic quantum mechanics was developed between 1920 and 1930 and involves a lot of differential equations and matrix algebra.

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

  • Bohr atom
  • Schrodinger equation, including analytic solutions
  • Basic bra-ket notation for Hilbert space elements
  • Ladder operators and their algebras
  • The Hydrogen atom
  • Quantum angular momentum and the su(2) Lie algebra

This is a 2nd year lecture course with elements of what is now a third year course.

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