OurBigBook.comSite Source code

One-dimensional modified Helmholtz Green function

For

Re m > 0

, the decaying solution of

- G^{''} + m^{2} G = δ_{0}

is

G (x) = \frac{e ^{- m ∣ x ∣}}{2 m} .

It is continuous at zero and has derivative jump

G^{'} (0 +) - G^{'} (0 -) = - 1

.

Table of contents 33 1
- Dirichlet half-line Green function for d2 minus 1 One-dimensional modified Helmholtz Green function 12

 Ancestors (5)

 Incoming links (1)

Solution