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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A 21, Type II superconductivity, fluxoid quantisation Lecture 6: BCS Wavefunction Lecture 9: Coherence length, flux quantum, field penetration in a slab Lecture 5: Remember me on this computer. This page was last edited on 20 Novemberat Would you like to know when this course is offered for certification? The Bogoliubov transformation is also important for understanding the Unruh effectHawking radiationpairing effects in nuclear physics, and many other topics.


On the theory of superfluidityJ.

Bound States Lecture 4: Advances of Physical Sciences. BCS Wavefunction in terms of 2m-particle states Lecture Superconducting Transition Temperature Lecture Two fluid model for superconductivity and London equations Lecture 2: The Hilbert space under consideration is equipped with these operators, and henceforth describes a higher-dimensional quantum harmonic oscillator usually an infinite-dimensional one. Views Read Edit View history. The Bogoliubov transformation is often used to diagonalize Hamiltonians, with a corresponding transformation of the state function.

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Bogoliubov transformation – Wikipedia

A 37, Thermodynamics of the superconducting transition Lecture 1: D 2, 1 This is interpreted as a linear symplectic transformation of the phase space. Field and order parameter variation inside a vortex Module 6: A mistake in the new formulation of the Bogoliubov-Valatin transformation [W.

Quantum theory trransformation solidsNew York, Wiley Magnetic susceptibility and Hall Effect followed by problem solving Module 3: Experimental probes of superconductivity-1 Lecture 2: U t then becomes simply Select Student Faculty Others. Messiah, Quantum Mechanics, vol.


Remarks on the Bogoliubov-Valatin transformation

As it happens that the following commutation relation is 4. Consider the canonical commutation relation for bosonic creation and annihilation operators in the harmonic basis.

Determination of coefficients Alpha and Beta in the absence of fields and gradients Lecture 3: By using this site, you transformatiln to the Terms of Use and Privacy Policy.

BCS wave function is an example of squeezed coherent state of fermions. Heat Capacity and other Thermodynamic Properties Module 7: Free energy formulation Lecture 2: They can also be defined as squeezed coherent states.