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The simplest way to introduce semiclassical quantisation is via the harmonic oscillator. Consider the Hamiltonian [Pg.366]

Since the total energy E is a constant of the motion, we can rewrite (10.1) as [Pg.366]

The variables p and q are canonically conjugate, so that the Bohr-Sommerfeld quantisation condition yields [Pg.366]

See other pages where Semiclassical quantisation and the harmonic oscillator is mentioned: [Pg.366]