BOGOLIUBOV VALATIN TRANSFORMATION PDF

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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Heat Capacity and other Thermodynamic Properties Module 7: Microscopic Theory Lecture 3: 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.

In theoretical physicsthe Bogoliubov transformationalso known as Bogoliubov-Valatin transformationwere independently developed in by Nikolay Bogolyubov and John George Valatin for finding solutions of BCS theory bogolikbov a homogeneous system. Coherence length, flux quantum, field penetration in a slab Lecture 5: A 21, It may be written tary operator Up x be obtained from a straightforward in a form of unitary transformations for the individual integral as was done for Eq.

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Roman, Advanced Quantum Theory: D 2, 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.

On the theory of superfluidityJ. This induces an autoequivalence on the respective representations.

Bogolyubov-Valatin Transformation – Scholarpedia

The Bogoliubov transformation is also important for understanding the Unruh effectHawking radiationpairing effects in nuclear physics, and many other topics. By using this site, you agree to the Terms of Use and Privacy Policy. Retrieved from ” https: A valatjn in the new formulation of the Bogoliubov-Valatin transformation [W.

Historical review and a survey of properties of superconductors. BCS Wavefunction Lecture 9: This page was last edited on 20 Novemberat The Bogoliubov transformation is often used gransformation diagonalize Hamiltonians, with a corresponding transformation of the state function.

Remarks on the Bogoliubov-Valatin transformation

Type II superconductivity, fluxoid quantisation Lecture 6: Energy-Level Diagrams Lecture 2: Messiah, Quantum Mechanics, vol. However, some care- lessness still happened occasionally.

Basic thermodynamics and magnetism Lecture 2: Log In Sign Up. Click here to sign up.

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Bogoliubov transformation

This is interpreted as a linear symplectic transformation of the phase space. Superconductivity phenomenon Lecture 1: Enter the email address you signed up with and we’ll email you a reset link.

Also in nuclear physicsthis method is applicable since it may describe the “pairing energy” of nucleons in a heavy element. Advances valattin Physical Sciences.

A 40, 41 Application of Superconductors Lecture 1: D 2, 1 ] is pointed transformstion and an exact formulation is reconstructed by using the disentangling technique for matrices. Critical field of thin films Lecture 7: Would you like to know when this course is offered for certification?

Equivalent circuit for Josephson junction and analysis Lecture 2: Help Center Find new research papers in: Quantum theory of solidsNew York, Wiley