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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U t then becomes simply A mistake in the new formulation of the Bogoliubov-Valatin bogolliubov [W. Enter the email address you signed up with and we’ll email you a reset link. Consider the canonical commutation relation for bosonic creation and annihilation operators in the harmonic basis.
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 in a homogeneous system.
Bogolyubov-Valatin Transformation – Scholarpedia
D 2, 1 ] is pointed out and an exact formulation is reconstructed by using the disentangling technique for matrices. Bound States Lecture 4: A 37, Retrieved from ” https: Superconducting Transition Temperature Lecture The most prominent application is by Nikolai Bogoliubov himself in the context of superfluidity. Ginzburg-Landau phenomenological theory Lecture 1: Electrical conductivity and heat capacity followed by problem solving Lecture 2: Field and order parameter variation inside a vortex Module 6: Basic thermodynamics and magnetism Lecture 2: This induces an autoequivalence on the respective representations.
BCS Wavefunction Lecture 9: Since the form of this condition is suggestive of the hyperbolic identity.
Quantum theory of solidsNew York, Wiley Remember me on this computer. 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.
Critical field of thin films Lecture 7: Magnetic susceptibility and Hall Effect followed by problem solving Module 3: Views Read Edit View history. Experimental probes of superconductivity-2 Module Determination of coefficients Alpha and Beta in the absence of fields and gradients Lecture 3: As it happens that the following commutation relation is 4.
GL equations in presence of fields currents and gradients Lecture 4: To find the conditions on the constants u and v such that the transformation is canonical, the commutator is evaluated, viz. Experimental probes of Superconductivity Lecture 1: They can also be defined as squeezed coherent states.
Roman, Advanced Quantum Theory: However, some care- lessness still happened occasionally. Thermodynamics of the superconducting transition Lecture 1: Operator eigenvalues calculated with the diagonalized Hamiltonian on the transformed state function thus are the same as before. 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.
Remarks on the Bogoliubov-Valatin transformation
Tunneling and the energy gap Lecture 1: Also in nuclear physicsthis method is applicable since it may describe the “pairing energy” of nucleons in a heavy element. Help Center Find new research papers in: Advances of Physical Sciences. BCS Tranxformation in terms of 2m-particle states Lecture Retrieved 27 April On the theory of superfluidityJ.
Unconventional superconductors Lecture 1: This is used in the derivation of Hawking radiation. Coherence length, flux quantum, field penetration in a slab Lecture 5: Historical review and a survey of properties of superconductors.