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domain of definition for boson annihilation and creation operators



On Mon, 11 Aug 2003 John Baez wrote:
>In article <[EMAIL PROTECTED]>,
>nobody  <[EMAIL PROTECTED]> wrote:
>
>>John Baez wrote:
>>
>>>The unbounded operators of interest in quantum physics are
>>>almost always self-adjoint or at least normal.  Other unbounded
>>>operators are usually horrible!
>>
>>What about the boson annihilation and creation operators?
>
>True, those are unbounded and unhorrible.
>
>>My impression from things that you've said before is that they
>>are reasonably well-behaved, e.g., (a+)+ = a (of course, I
>>should ask to what domain that statement applies).
>
>Yes, if you pick the right domains you get this equation.
>This book will tell you which domain work:
>
>http://math.ucr.edu/home/baez/bsz.html
>
>if you've got the guts to download a 200-megabyte PDF file.

Fortunately, I won't have to do that.  I was just given a nearly
mint-condition print copy of BSZ that a friend got for me from a
used book dealer in Kansas (via Amazon).

The bad news is, I don't know where in that book to find those
domains ... so I have to ask for a hint.  Dr. Baez?

nobody




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