Re: SP and HP differ?

Thanks all for spotting my (rather elementary) error. To summarize the
harmonic oscillator (again, with constants set to 1):

  a(t)  = a(0) e^{-it}
  a*(t) = a*(0)e^{ it}
  x(t)  = x(0)cos{t} + p(0)sin(t)
  p(t)  = p(0)cos{t} - x(0)sin(t)
  H(t)  = H(0)

The a(t) operators are simpler to derive since they only give a
first-order DE. Then x(t) and p(t) can be derived from the defitions
of a(t) and a*(t).