Symbolic Continuous Fourier transforms like in Mathematica in SymPy

[Ranjith Kumar]

Dear all,

I am new to this Google group.

• I have been using Python for 3 years.
  
• I am a PhD student working on superconductivity in 2D Topological materials(Physics). 
  
• I recently started using SymPy for some of my work mainly finding eigenvalues of Hamiltonian matrices. 
  

I noticed that SymPy's Fourier transform function does not work that good when it comes to symbolic functions whose Fourier transforms result in Dirac-deltas despite having a delta function itself. eg: exp(-iat)or trigonometric functions like sin(at) or cos(at). Mathematica does this fine and returns expressions involving Dirac deltas. 

If anyone has faced this problem before and found a solution, please share. 

[S.Y. Lee]

I'd refer to a previous discussion https://groups.google.com/g/sympy/c/e8GiLUsr9eo/m/YKJ8sfHjBAAJ.