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- From: jac@ds8.scri.fsu.edu (Jim Carr)
- Newsgroups: sci.physics,sci.math
- Subject: Re: Ansatz (as used in mathematical physics)
- Message-ID: <11670@sun13.scri.fsu.edu>
- Date: 11 Jan 93 19:49:01 GMT
- References: <1993Jan11.025132.18641@EE.Stanford.EDU>
- Sender: news@sun13.scri.fsu.edu
- Reply-To: jac@ds8.scri.fsu.edu (Jim Carr)
- Followup-To: sci.physics
- Organization: SCRI, Florida State University
- Lines: 44
-
- In article <1993Jan11.025132.18641@EE.Stanford.EDU> siegman@EE.Stanford.EDU (Anthony E. Siegman) writes:
- >
- > I've seen the term Ansatz used (in English) to describe the
- >mathematical structure that is set up to analyse a physics problem or
- >solve a mathematical physics problem; but none of several English
- >dictionaries I've check contain this term, nor do my Deutsch-English
- >dictionaries give much clue to this usage. Can anyone quote any
- >authoritative references on this particular usage?
-
- Two answers:
-
- 1) The word is taken from a German word that is not spelled quite the
- same way in its dictionary entry. I know because I tried to look
- it up once, could not find it, and my wife (who actually knows
- something of German) showed me the root word. The word, as far
- as I know (and I have not looked in the new OED supplement), was
- imported into English by German physicists who used it in a
- colloquial or slang version. The German word means something like
- "the starting place", but the colloquial meaning is that it is a
- guess at the form of the answer as a substitute for a derivation.
-
- 2) Despite all that linquistic stuff, I always think of a bad german
- accent saying "and zat's it" when I use the word. It is a word
- for a result that looks derived but has actually been logically
- deduced from something (the ansatz) pulled out of thin air.
-
- I suppose you could substitute "educated guess" for "ansatz", but it
- does not carry the same meanings for me. An ansatz is most often used
- when there is a theory that is not amenable to actual solution, such
- as QCD or the BCS theory, but where some analytical form suggested by
- the equations or physical intuition might have all the properties
- required of a solution. It can then serve as a starting point for
- trying to make connections between theory and experiment while some of
- the actual connections between the theory and the ansatz remain vague
- (but are - hopefully - being worked on independently). Thus it is
- more than just a parameterization used for phenomenological analysis,
- although not much more at first glance, and sometimes the word is used
- as a fancy substitute for "parameterization".
-
- --
- J. A. Carr | "The New Frontier of which I
- jac@gw.scri.fsu.edu | speak is not a set of promises
- Florida State University B-186 | -- it is a set of challenges."
- Supercomputer Computations Research Institute | John F. Kennedy (15 July 60)
-