A. Bogoliubov-Valatin transformation. 1. B. Equation of motion. 3. II. Diagonalization Theory of Bose Systems 6. A. Dynamic matrix. 6. Remarks on the Bogoliubov-Valatin transformation. Authors: Liu, W. S.. Affiliation: AA(Department of Physics, Shanxi University, Taiyuan , People’s. Module 7: Tunneling and the energy gap. Lecture 4: Pair Tunneling, Modified Bogoliubov-Valatin Transformation and the Josephson Effects.

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By using this site, you agree to the Terms of Use and Privacy Policy. This induces an autoequivalence on the respective representations.

Critical field of thin films Lecture 7: The Bogoliubov transformation is often used to diagonalize Hamiltonians, with a corresponding transformation of the state function. Experimental probes of superconductivity-1 Lecture 2: Application to the superconducting transition followed by problem solving Module 5: Magnetic susceptibility and Hall Effect followed by problem solving Module 3: Ginzburg-Landau phenomenological theory Lecture 1: The Hilbert space under consideration is equipped with these operators, and henceforth describes a higher-dimensional quantum harmonic oscillator usually an infinite-dimensional one.


All excited states are obtained as linear combinations of the ground state excited by some creation operators:.

Bogolyubov-Valatin Transformation – Scholarpedia

The most prominent application is again by Nikolai Bogoliubov valatjn, this time for the BCS theory of superconductivity. Coherence length, flux quantum, field penetration in a slab Lecture 5: Application of Superconductors Transfformation 1: D 2, 1 Superconducting Transition Temperature Lecture Help Center Find new research papers in: The purposes of the present paper is a two-mode realization of the SU 2 Lie algebra, which are to highlight this mistake and reconstruct the exact satisfies the commutation relation formulation of the BVT.

Energy-Level Diagrams Lecture 2: Electron-Phonon Interaction in Metals Lecture 7: GL transformatikn in presence of fields currents and gradients Lecture 4: Log In Sign Up. Roman, Advanced Quantum Theory: The ground state of the corresponding Hamiltonian is annihilated by all the annihilation operators:.

Basic thermodynamics and magnetism Lecture 2: D 2, 1 ] is pointed out and an exact formulation is reconstructed by using the disentangling technique for matrices.


Quantum theory of solidsNew York, Wiley Enter the email address you signed up with and we’ll email you a reset link. Solution of London equations and free energy calculations Module 4: As it happens that the following commutation relation is 4.

Experimental probes of Superconductivity Lecture 1: Remember me on this computer. USSR11, p. Would you like to know when this course is offered for certification?

Bound States Lecture 4: Free energy formulation Lecture 2: From Wikipedia, the free encyclopedia. On the theory of superfluidityJ.