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modifying exponentials using a rule

Yaj Bhattacharya
Posted 10 years ago

For an expression like

E^(I x Subscript[p1, m] - I x Subscript[p1, \[Mu]] - 
 I x Subscript[p2, m] - I x Subscript[p2, \[Mu]])

how does one go about substituing E^(x*Subscript[p1, m]) with E^(Subscript[\[Omega], Subscript[p1, m]] t - Subscript[p1, m] r), and continute to substitue (with explicitly replacing each string), so that E^(-I x Subscript[p1, \[Mu]])would be replaced by E^(-r Subscript[p1, \[Mu]] + t Subscript[\[Omega], Subscript[p1, \[Mu]]]) and so on?
POSTED BY: Yaj Bhattacharya
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Yes Bill, that's it. I have no idea why my browser can't render the Mathematica display (firefox and chrome).
POSTED BY: Yaj Bhattacharya
Bill Simpson
Bill Simpson
Posted 10 years ago

Is this perhaps what you are looking for?

In[1]:= E^(I x Subscript[p1, m]-I x Subscript[p1, \[Mu]]-I x Subscript[p2, m]-I x Subscript[p2, \[Mu]]) /. 
 x*Subscript[symbol1_,symbol2_]->Subscript[\[Omega],Subscript[symbol1,symbol2]]t-Subscript[symbol1,symbol2]r

Out[1]= E^(
 I (-r Subscript[p1, m] + t Subscript[\[Omega], Subscript[p1, m]]) - 
 I (-r Subscript[p1, \[Mu]] + t Subscript[\[Omega], Subscript[p1, \[Mu]]]) - 
 I (-r Subscript[p2, m] + t Subscript[\[Omega], Subscript[p2, m]]) - 
 I (-r Subscript[p2, \[Mu]] + t Subscript[\[Omega], Subscript[p2, \[Mu]]]))
POSTED BY: Bill Simpson
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