The name is absent



Appendix A

Application of Fourier transform to
dipolar condensate

For the purpose of numerical calculation, it is convenient to define FT as (the engineering
standard)

<À(f) = W(r)] = ʃ drψ(r)e-2πxr

(A.1)


then, the inverse FT takes the form

m = !F-1[<A(f)]= ^(f>Mr,


(A.2)


where we have used the relations

6zfe-2τr1f.(r-r') = δ(χ _ ɪ,ɔ

The convolution can be easily calculated as

Jr,V(r-r')≠(r') = F^1 [V(f)≠(f)].

(A3)


(A.4)


37



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