[net.physics] quantum theory and measurement

colonel@gloria.UUCP (06/09/85)

>...         To my mind, there are equally severe problems:
> 	(a)  Quantum theory is inherently linear; interactions aren't.

I thought that quantum theory was a special case of Schrodinger "Wave"
Theory.  The Wave Theory is nonlinear, isn't it?
-- 
Col. G. L. Sicherman
...{rocksvax|decvax}!sunybcs!colonel

brooks@lll-crg.ARPA (06/12/85)

>...         To my mind, there are equally severe problems:
> 	(a)  Quantum theory is inherently linear; interactions aren't.
One of the favorite techniques of solving problems is to linearize,
ie apply perturbation theory, the theory itself has all the nonlinearities
of any interaction being studied.  Any one actually solved QCD lately.


> I thought that quantum theory was a special case of Schrodinger "Wave"
> Theory.  The Wave Theory is nonlinear, isn't it?
Its actually the other way around, Schrodinger Wave theory is a special case
of quantum theory.

gwyn@brl-tgr.ARPA (Doug Gwyn <gwyn>) (06/16/85)

> I thought that quantum theory was a special case of Schrodinger "Wave"
> Theory.  The Wave Theory is nonlinear, isn't it?

Nope, Schr"odinger waves obey the linear superposition principle.
Dirac's text spells out the algebraic details.  The fact that there
is a "matrix representation" proves the linearity.