# On 2D Inverse Problems/Schrodinger equation

From Wikibooks, open books for an open world

< On 2D Inverse Problems(Redirected from User:Daviddaved/Schrodinger equation)

```
The conductivity equation
```

is equivalent toSchrodinger equation:

```
for potential
```

For an analog of this system on e-networks, one defines the solution of the Schrodinger equationuon the nodes and the square of the conductivity on the edges by the following formula:

**Exercise (*).**Express the DN operator for the Schrodinger equation in terms of the one for the conductivity equation on the same e-network.

(Hint). Let

where,

Then

is the Laplace matrix of the network.

**Exercise (**).**Reduce the inverse problem for the Schrodinger equation on e-nerwork to the conductivity equation one w/signed conductivity.