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Monday, May 4, 2020 | History

4 edition of Numerical methods for atomic quantum gases found in the catalog.

Numerical methods for atomic quantum gases

  • 40 Want to read
  • 5 Currently reading

Published by Edizioni della Normale .
Written in English

    Subjects:
  • Mathematical Physics,
  • Science / Mathematical Physics,
  • atomical gases,
  • quantum simulations,
  • Science

  • The Physical Object
    FormatPaperback
    Number of Pages174
    ID Numbers
    Open LibraryOL13432258M
    ISBN 108876421300
    ISBN 109788876421303

    Department of Physics, School of Science, Tokai University, Kitakaname, Hiratsuka-shi, Kanagawa , Japan Interests: nuclear physics (theory): 1. hadronic physics: quark substructure of hadrons and nuclei, structure functions and fragmentation functions of hadrons and nuclei, matter at high density and temperature, compact stars; 2. nuclear structure physics: nuclear magnetic. Modern many-particle physics: atomic gases, quantum dots and quantum fluids Enrico Lipparini An important part of this book is devoted to the description of homogenous systems, such as electron gas in different dimensions, the quantum well in an intense magnetic field, liquid helium and nuclear matter. Bohr’s ideas were useful but were applied only to the hydrogen atom. However, later researchers generalized Bohr’s ideas into a new theory called quantum mechanics The theory of electrons that treats them as a wave., which explains the behavior of electrons as if they were acting as a wave, not as m mechanics predicts two major things: quantized energies for electrons of.


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Numerical methods for atomic quantum gases by Anna Minguzzi Download PDF EPUB FB2

Numerical methods for atomic quantum gases with applications to Bose–Einstein condensates and to ultracold fermions Article in Physics Reports (4) June with 63 Reads. Overview on dilute quantum gases Introduction.

Bose–Einstein condensation can occur when a gas of bosonic atoms is cooled down to the point where the de Broglie wavelength l B =ℏ/mv T becomes comparable with the mean interparticle separation d=n −1/ v T is the atomic thermal speed, m is Numerical methods for atomic quantum gases book atomic mass, and n is the atomic number by:   Covering Numerical methods for atomic quantum gases book condensates, degenerate Fermi gases, and the more recently realised exciton–polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum.

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases.

Such quantum states are of macroscopic dimensions. Numerical methods for atomic quantum gases book This book presents the phase space theory approach for treating Numerical methods for atomic quantum gases book physics Cited by: 5. An Introduction to the Liquid State focuses on the atomic motions and positions of liquids.

Particularly given importance in this book are internal motion of molecules as a whole and the motion of atoms in a monatomic liquid. Divided into 16 chapters, the book opens by outlining the general properties of liquids, including a comparison of. The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

The practical sessions are. The focus is on methods that are especially crucial in probing and understanding the many-body nature Numerical methods for atomic quantum gases book the quantum phenomena in ultracold gases and most topics are covered both from a theoretical and experimental viewpoint, with interrelated chapters written by.

This new edition of the unrivalled textbook introduces concepts such as the quantum theory of scattering by a potential, special and general cases of adding angular momenta, time-independent and time-dependent perturbation theory, and systems of identical particles. The entire book has been revised to take into account new developments in quantum mechanics curricula.

Description. A modern approach to mathematical modeling, featuring unique applications from the field of mechanics. An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical.

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions.

This book presents the phase space theory approach for treating the physics of degenerate quantum gases, an approach. Get this from a library. Modern many-particle physics: atomic gases, quantum dots and quantum fluids. [Enrico Lipparini] -- Annotation An important part of this book is devoted to the description of homogenous systems, such as electron gas in different dimensions, the.

A corresponding beam scheme for ideal quantum gas dynamics has been given [25]. In this work, we shall adopt and generalize the concept of KFVS Numerical methods for atomic quantum gases book to devise a numerical method for the. This book is about the drift, diffusion, and reaction of ions moving through gases under the influence of an external electric field, the gas temperature, and the number density.

Read chapter: Moment Methods for Solving the Boltzmann Equation. Atoms, Molecules and Photons, 3ed. The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

The practical sessions are File Size: KB. @article{osti_, title = {Qualitative methods in quantum theory}, author = {Migdal, A.B.}, abstractNote = {The author feels that the solution of most problems in theoretical physics begins with the application of qualitative methods - dimensional estimates and estimates made from simple models, the investigation of limiting cases, the use of the analytic properties of physical quantities.

Recent experimental progress has enabled cold atomic gases to be studied at nanokelvin temperatures, creating new states of matter where quantum degeneracy occurs—Bose–Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. As its title suggests, this book presents the phase space theory approach to treating the physics of degenerate quantum.

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions.

This book presents the phase space theory approach for treating the physics Pages: Quantum mechanics and numerical codes: some observations Quantization A first aspect to be considered in the numerical solution of quantum problems is the presence of quantization of energy levels for bound states, such as for instance Eq.() for the harmonic oscillator.

The acceptable energy values En are not in general known a priori. Full text of "Numerical Methods in Quantum Mechanics" See other formats. Theyare largely “derived“in quantum terms, with no appeal to classical physics.

I see no need to rub in the student’s lack of knowledge of specialized areas of classical physics if a satisfactory quantum derivation is readily given.

This book is not intended to be an. Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases.

Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for treating the physics. Phase Space Methods for Degenerate Quantum Gases by Bryan J.

Dalton,available at Book Depository with free delivery worldwide. My group develops numerical methods and theories of photon-based spectroscopies of strongly correlated materials.

The goal of this research is to understand electron dynamics via a combination of analytical theory and numerical simulations to provide insight into new quantum materials and how to better use them in energy-related applications. An important part of this book is devoted to the description of homogenous systems, such as electron gas in different dimensions, the quantum well in an intense magnetic field, liquid helium and nuclear matter.

However, the most relevant part is dedicated to the study of finite systems: Price: $ This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions.

In addition, numerical methods based on matrix product states are analyzed in detail, and. The book contains a few problems requiring elementary skill in differentiating and integrating, as well as some problems to be solved with the aid of numerical methods, which nowadays are being increasingly used.

The book was translated from the Russian by Mark Samokhvalov and was first published by Mir Publishers in Contents. Preface. The theoretical framework of the methods used throughout the remainder of the book is outlined.

In detail, the derivation of the time-dependent Gross–Pitaevskii equation, the time-dependent multi-orbital mean-field equations of motion as well as the multiconfigurational time-dependent Hartree method for bosons are : Axel U. Lode. Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases.

Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for treating the physics 3/5(1). However, the most relevant part is dedicated to the study of finite systems: metallic clusters, quantum dots, the condensate of cold and diluted atoms in magnetic traps, helium drops and nuclei.

The book focuses on methods of getting good numerical approximations to energies and linear response based on approximations to first-principles Seller Rating: % positive. This chapter presents the statistical description of quantum gases: bosons and fermions. The coarse-grained distribution function, measuring the average occupation of each quantum level is the fundamental object under study.

In thermal equilibrium, gases obey the Bose—Einstein and Fermi—Dirac distributions. Out of equilibrium, a semiclassical description is adopted where the distribution. Atom - Atom - The beginnings of modern atomic theory: English chemist and physicist John Dalton extended Proust’s work and converted the atomic philosophy of the Greeks into a scientific theory between and His book A New System of Chemical Philosophy (Part I, ; Part II, ) was the first application of atomic theory to chemistry.

By Enrico Lipparini. A massive a part of this e-book is dedicated to the outline of homogenous platforms, corresponding to electron fuel in several dimensions, the quantum good in an excessive magnetic box, liquid helium and nuclear topic.

even though, the main proper half is devoted to the examine of finite platforms: steel clusters, quantum dots, the condensate of chilly and diluted /5(9). Carlo step become negative (Schmidt and Kalos, ; Loh et al., ).

In some algorithms, approximate procedures allow useful calculations to be performed; in others, the sign problem is so bad that the study of the models believed to be basic for understanding the materials, such as high-temperature superconductors, are essentially prohibited.

Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result in a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in quantum fluids, such as liquid helium and ultracold gases. We review, from both experimental and theoretical points of view, advances in quantum turbulence Cited by: 1.

Abstract. We review some modelling and numerical aspects in quantum kinetic theory for a gas of interacting bosons and we try to explain what makes Bose-Einstein condensation in a dilute gas mathematically interesting and numerically by: 7.

A review of the applications of the Keldysh technique to the transport theory can be found in: J. Rammer, "Quantum transport theory of electrons in solids: A single-particle approach", Rev.

Mod. Phys. 63, (); J. Rammer, H. Smith, "Quantum field-theoretical methods in transport theory of metals", Rev. Mod. Phys. 58, (). Introduction. I have a new project on GitHub project is using Density Functional Theory to do calculations for an atom.

The project is actually not so new, I’ve put it on GitHub more than three months ago, but it had some issues I had to solve and also I did not have patience until now to write a new blog entry.

Buy Phase Space Methods for Degenerate Quantum Gases by Bryan J. Dalton, John Jeffers from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £Pages: Low-energy Charged Particles in Atomic and Molecular Gases 5 Appendices A.

Data resources for cross sections B. Summary of vector calculus C. Summary of tensors and dyadics D. Summary of non-relativistic quantum mechanics for bound and scattering states E.

List of symbols F. Physical constants, units, and conversion factors Bibliography IndexFile Size: 40KB. Numerical methods, such as the Bhatnagar–Gross–Krook (BGK) approximation or lattice Boltzmann method (LBM) [8, 9], are commonly used to determine the flow field of complex fluids.

The spectroscopic signature of gases as well as radiative heating are estimated by solving the Boltzmann equation for photons (see chapter 12). This book is a pedagogical presentation of the application of pdf and pdf methods to kinetic theory and quantum mechanics.

are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. for most of the numerical results.Theoretical investigations of correlated quantum many-body systems have proceeded at an astonishing pace.

However, experimental progress on such correlated systems embodied in atomic quantum gases has been hampered by the extremely low entropy (essentially temperature) required to observe novel quantum phases.Advances in Atomic, Molecular, and Ebook Physics ebook reviews of recent developments in a field which is in a state of rapid growth, as new experimental and theoretical techniques are used on many old and new problems.

Topics covered include related applied areas, such as atmospheric science, astrophysics, surface physics and laser physics.