On Tuesday, December 31, 2002, at 07:02 AM, Joao Leao wrote:
I don't agree with Tim's suggestion that infinite-dimensional Hilbert
spaces
are somewhat ancilliary in QM and that all systems are calculable in
finite dimensional modes. In fact infinite sets of spaces are the rule
in
QM and
the
Tim:
Werner's course that you point out is geared toward Quantum Information
applications and so the emphasys on finite spectra is understandable from
the
context. My point is that, in conventional quantum mechanics intro courses,
you begin with problems like the harmonic oscillator or the
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