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Boris V. Vasiliev Supercondustivity Superfluidity

Chapter 7 The Condensate

Chapter 7 The Condensate of Zero-Point Oscillations and Type-I Superconductors 7.1 The Critical Temperature of Type-I Superconductors In order to compare the critical temperature of the condensate of zero-point oscillations with measured critical temperatures of superconductors, at first we should make an estimation on the Fermi energies of superconductors. For this we use the experimental data for the Sommerfeld’s constant through which the Fermi energy can be expressed: γ = π2 k 2 n e = 1 ( π ) ( ) 2/3 2 k 4E F 2 · m e n 1/3 e (7.1) 3 So on the basis of Eqs.(6.12) and (7.1), we get: kT F (γ) = p2 F (γ) 2m e ≃ ( 12 k 2 ) 2 ( 2 2m e ) 3 γ 2 . (7.2) On base of these calculations we obtain possibility to relate directly the critical

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