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Collect exponents only

• To: mathgroup at smc.vnet.net
• Subject: [mg101385] Collect exponents only
• From: Francisco Rojas <fjrojas at gmail.com>
• Date: Sat, 4 Jul 2009 06:43:08 -0400 (EDT)

Hello,

I was wondering if there's anyway to ask the command Simplify (or
maybe some other command) to only collect terms in the exponents of a
long expression (which contains complex exponentials by the way) and
not perform any other kind of simplification.

For example I have an expression like this:

A Exp[ I (x+y) - I x] + A^2 Exp[ I (x+y) - I y]           ( I is the
the imaginary unit )

Mathematica does two simplications here: it simplifies the terms in
the exponents and factors out the A giving:

A (Exp[ I y] + Exp[I x])

whereas I would like to obtain only the exponents simplification,
i.e.   A^2 Exp[ I y] + A Exp[ I x]

Anybody knows how to do this?
Thanks in advance,
Francisco

• Follow-Ups:
  • Re: Collect exponents only
    • From: Francisco Rojas Fernández <fjrojas@gmail.com>
  • Re: Collect exponents only
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: Collect exponents only
    • From: Leonid Shifrin <lshifr@gmail.com>