Last edited by Gole
Tuesday, July 28, 2020 | History

2 edition of Some rigorous results in the theory of Bose liquids. found in the catalog.

Some rigorous results in the theory of Bose liquids.

Emile Felix Joseph Talbot

Some rigorous results in the theory of Bose liquids.

by Emile Felix Joseph Talbot

  • 384 Want to read
  • 36 Currently reading

Published .
Written in English

    Subjects:
  • Physics Theses

  • Edition Notes

    Thesis (Ph.D.), Dept. of Physics, University of Toronto.

    ContributionsGriffin, A. (supervisor)
    The Physical Object
    Pagination136 leaves.
    Number of Pages136
    ID Numbers
    Open LibraryOL15020939M

    We present a systematic account of known rigorous results about the Bogoliubov model of weakly imperfect Bose gas (WIBG). This model is a basis of the celebrated Bogoliubov theory of superfluidity. PHYSICAL REVIEW A 89, () Universal Bose gases near resonance: A rigorous solution Shao-Jian Jiang, 1,2 Wu-Ming Liu, Gordon W. Semenoff, 2and Fei Zhou,3 1Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing , China 2Department of Physics and Astronomy, University of British Columbia, Vancouver, Canada V6T 1Z1.

    In this chapter we study the phenomenon of quasi-equilibrium Bose–Einstein as observed in systems of boson particles in ultralow temperatures, and describe some of the experimental results obtained with magnons excited by microwave parallel pumping in YIG films at room temperature. that provides rigorous support for the formation of a.   We show that the Bose liquid described by the logarithmic wave equation has a number of drastic differences from the GP one. It possesses the self-sustainability property: while the free GP condensate tends to spill all over the available volume the logarithmic one tends to form a Gaussian-type droplet - even in the absence of an external.

    Recently, MIT announced the third round of Bose grant winners, which will fund research in magnetism-sensing worms, ancient violins, ionic liquids and malaria microbes. Some of the subjects don't.   The GBEC theory then reduces to the gap and number equations [viz., in 2D for T = T c both, ] of the original BCS–Bose crossover picture with the Cooper/BCS model interaction – if its parameters V and ℏω D are identified with the BF interaction GBEC Hamiltonian H int parameters f 2 /2δε and δε, respectively.


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Some rigorous results in the theory of Bose liquids by Emile Felix Joseph Talbot Download PDF EPUB FB2

The Theory of Quantum Liquids, Volume 2: superfluid bose liquids | NOZIERES, P. (PHILIPPE) | download | B–OK.

Download books for free. Find books. This thesis deals with the microscopic theory of a Bose-condensed liquid at finite temperature, superfluid ('4)He being the obvious example. Our analysis is built on thermal Green functions, Feynman diagrams, and the dielectric formalism introduced by Ma and Woo ().

In contrast to much of the previous literature, however, we work at finite temperatures and include a symmetry-breaking term Cited by: 1. This book is a classic. It is a must for anyone who approaches the quantum fluids field. The second part on the Bose liquid is far less complete than the first one on the Fermi counterpart which is just phenomenal.

It is one of those books like A. D even when read for the million time you will find something you did not understand earlier.5/5(8). Those results represent a confirmation of the validity of the predictions of Bogoliubov theory for the ground state energy of dilute Bose gases in the thermodynamic limit.

It remains an ambitious open problem to verify Bogoliubov’s prediction for the excitation spectrum in the thermodynamic : Serena Cenatiempo. This unique overview by a prominent CalTech physicist provides a modern, rigorous, and integrated treatment of the key physical principles and techniques related to gases, liquids, solids, and their phase transitions.

No other single volume offers such comprehensive coverage of the subject, and the treatment consistently emphasizes areas in which research results are likely to be applicable to. The density functional theory originally developed by Hohenberg, Kohn and Sham provides a rigorous conceptual framework for dealing with inhomogeneous interacting Fermi systems.

We extend this approach to deal with inhomogeneous interacting Bose-condensed systems, limiting this presentation to setting up the formalism to deal with ground state (T=0) properties. The key new feature is that one.

Starting from first principles, this book introduces the closely related phenomena of Bose condensation and Cooper pairing, in which a very large number of single particles or pairs of particles are forced to behave in exactly the same way, and explores their consequences in.

We present results indicating that, as a function of nu, there is a zero temperature phase transition between a triangular vortex lattice phase, and strongly correlated vortex liquid phases.

Some of the topics treated are the ground state energy, the Gross-Pitaevskii equation, Bose-Einstein condensation, superfluidity, one-dimensional gases, and rotating gases. Some aspects are covered in the books: D.

Giulini et. al., "Decoherence and the appearance of a classical world in quantum theory" (Springer ) ; P. Blanchard, "Decoherence: Theoretical, Experimental, and Conceptual Problems" (Springer-Link) and U.

Weiss, "Quantum dissipative systems" (World Scientific, ). 2. To a rigorous superfluidity theory for the non-dilute Bose gas.

Let an homogeneous gas of n spinless bosons with mass m be enclosed in a cubic box Λ ⊂ R 3 of volume V ≡ | Λ | = L 3. The one-particle energy spectrum is then ɛ k ≡ ℏ 2 k 2 / 2 m and, using periodic boundary conditions, Λ * ≡ ((2 π / L) Z) 3 ⊂ R 3 is the set of.

Bose–Einstein distribution. At low temperatures, bosons behave differently from fermions (which obey the Fermi–Dirac statistics) in a way that an unlimited number of them can "condense" into the same energy apparently unusual property also gives rise to the special state of matter – the Bose–Einstein –Dirac and Bose–Einstein statistics apply when quantum.

A Bose–Einstein condensate (BEC) is a state of matter (also called the fifth state of matter) which is typically formed when a gas of bosons at low densities is cooled to temperatures very close to absolute zero ( °C).

Under such conditions, a large fraction of bosons occupy the lowest quantum state, at which point microscopic quantum phenomena, particularly wavefunction interference. Find helpful customer reviews and review ratings for Theory Of Quantum Liquids (Frontiers in Physics) (v. 1 & 2) at Read honest and unbiased product reviews from our users.

We consider the low-energy collective excitations at finite temperature of Bose–Einstein condensed gases (and liquids as well). A most general model-independent effective Lagrangian is written. The?eld of Bose–Einstein condensation in atomic gases has been full of s- ppenedafterthe?rstrealization ofBose–Einstein condensates in has far exceeded the vision of their creators.

Originally, I expected interesting studies of equilibrium properties and dynamics, but the Bose–. This book addresses his other great theory, that of heat capacity and the Bose-Einstein condensate. In doing so, it traces the history of radiation and heat capacity theory from the midth century to the present.

It describes early attempts to understand heat and light radiation and proceeds through the theory of the heat capacity of solids. This book is a classic. It is a must for anyone who approaches the quantum fluids field. The second part on the Bose liquid is far less complete than the first one on the Fermi counterpart which is just phenomenal.

It is one of those books like A. D even when read for the million time you will find something you did not understand earlier. After that, we study Bose liquids and gases. That means the properties of superfluids, including quasi-particles (phonons and rotons) and quantized vortex filaments.

And the book shows how to apply Green's functions to Bose liquids. There's an interesting section on the disintegration of quasi-particles. The third edition of Theory of Simple Liquids is an updated, advanced, but self-contained introduction to the principles of liquid-state theory.

It presents the modern, molecular theory of the structural, thermodynamic interfacial and dynamical properties of the liquid phase of materials constituted of atoms, small molecules or ions. The Hubbard model -- Some Rigorous Results and Open Problems, in Advances in Dynamical Systems and Quantum Physics, proceedings of Conference in honor of G.F.

Dell'Antonio, edited by S. Albeverio(World Scientific, ), p. Bose. The mere mention of the company’s name conjures up all manner of reaction, response and opinion from the audio community.

The self-appointed cognoscenti of the audio world have decreed that Bose products are decidedly inferior to even the better mid-line brands of audio components, are decidedly not of audiophile quality, and in some cases, derive their success more from marketing.The book is an introductory text to the physics of Bose-Einstein condensation.

This phenomenon, first predicted by Einstein inhas been realized experimentally in in a remarkable series of experiments whose importance has been recognized by the award of the Nobel Prize in Physics. The condensate is actually a new state of matter, where quantum-mechanical wave functions of atoms 5/5(1).