Quantum Theory of Many-Body Systems by Alexandre Zagoskin

Author:Alexandre Zagoskin
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

3.3.2.1 Current and Voltage Fluctuations in Linear Circuits: Nyquist’s Theorem

Let us consider one of the most important applications of the theorem. Take the current operator, , in a simple electric circuit (Fig. 3.6). At frequencies low enough (, where is the size of the circuit) the current is the same throughout the circuit and depends only on time:

If there were an external emf in the circuit, , the energy dissipation per unit time would be

According to our previous considerations, the generalized force is then given by

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