# On 2D Inverse Problems/Schrodinger equation

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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.