Statistical Mechanics and Applications in Condensed Matter by Carlo Di Castro & Roberto Raimondi

Author:Carlo Di Castro & Roberto Raimondi [Di Castro, Carlo]
Language: eng
Format: epub, azw3
Publisher: Cambridge University Press
Published: 2015-08-30T21:00:00+00:00

(15.204)

The equations for the chemical potential (15.153) fixing the number of particles and the equation for the gap become (see Problem 15.8 for details)

where and with .

Similarly, Eq. (15.201) for a single bound pairs reads (see Problem 15.8)

(15.207)

We note that the separable potential (15.204) has an -wave bound state with binding energy ( since the bound state eigenvalue is ), which can be determined by transforming the sum into an integral over momentum. The integral is elementary and the solution of Eq. (15.207) is

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