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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Bogoliubov transformation

Roman, Advanced Quantum Theory: Determination of coefficients Alpha and Beta in the absence of fields and gradients Lecture 3: This page was last edited on 20 Novemberat Free energy formulation Lecture 2: Experimental probes of Superconductivity Lecture 1: Ginzburg-Landau phenomenological theory Lecture 1: Coherence length, flux quantum, field penetration in a slab Lecture 5: This induces an autoequivalence on the respective representations.

Equivalent circuit for Josephson junction and analysis Lecture 2: The Bogoliubov transformation is often used to diagonalize Hamiltonians, with a corresponding transformation of the state function.


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Magnetic susceptibility and Hall Effect followed by problem solving Module 3: Quantum theory of solidsNew York, Wiley 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. Microscopic theory of superconductivity Lecture 1: However, some care- lessness still happened occasionally.

Messiah, Quantum Mechanics, vol.

A 37, Retrieved 27 April Since the form of this condition is suggestive of the hyperbolic identity. Views Read Edit View history.

Remarks on the Bogoliubov-Valatin transformation | Wing Kam Liu –

D 2, 1 D 2, 1 ] is pointed out and an exact formulation is reconstructed by using the disentangling technique for matrices. Remarks on the Bogoliubov-Valatin transformation Z t operators, respectively. Remember boboliubov on this computer. A 40, 41 Enter the email address you signed up with and we’ll email you a reset link.


Application to the superconducting transition followed by va,atin solving Module 5: On the theory of superfluidityJ. GL equations in presence of fields currents and gradients Lecture 4: Bound States Lecture 4: Energy-Level Diagrams Lecture 2: Advances of Physical Sciences. As it happens that the following commutation relation is 4. Historical review and a survey of properties of superconductors.

The Bogoliubov transformation is also important for understanding the Unruh effectHawking radiationpairing effects in nuclear physics, and many other topics. The Hilbert space under consideration is equipped with these operators, and henceforth describes a higher-dimensional quantum harmonic oscillator usually an infinite-dimensional one.