Let us wish you a happy birthday!
Date of Birth
Please fill in a complete birthday Enter a valid birthday
×
Effective Evolution Equations from Quantum Dynamics by Niels Benedikter - Paperback
698.00 EGP

Effective Evolution Equations from Quantum Dynamics by Niels Benedikter - Paperback

Be the first to rate this product 

698.00 EGP 

  - You Save -698.00 EGP
All prices include VAT  Details
Category Type
Physics
ISBN
9783319248967
Author
Various
Publisher
Springer International Publishing AG
Description:

These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrodinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of time-dependent effective theories (non-equilibrium question) approximating many-body quantum dynamics. The book is divided into ...

Other sellers
(1) more offer starting from 698.00 EGP
Ship to Cairo (Change city)
Delivered within Monday, Oct 22 - Wednesday, Oct 24 to Cairo
Only 1 left in stock!

Condition:
New
Sold by:
FirstEdition-1ED (89% Positive Rating)
Other sellers
(1) more offer starting from 698.00 EGP

PRODUCT INFORMATION

  •  

    Specifications

    Category Type
    Physics
    ISBN
    9783319248967
    Item EAN
    2724445779625
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Physics
    ISBN
    9783319248967
    Item EAN
    2724445779625
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrodinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of time-dependent effective theories

    These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrodinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of time-dependent effective theories (non-equilibrium question) approximating many-body quantum dynamics. The book is divided into seven sections, the first of which briefly reviews the main properties of many-body quantum systems and their time evolution. Section 2 introduces the mean-field regime for bosonic systems and explains how the many-body dynamics can be approximated in this limit using the hartree equation. Section 3 presents a method, based on the use of coherent states, for rigorously proving the convergence towards the hartree dynamics, while the fluctuations around the hartree equation are considered in section 4. Section 5 focuses on a discussion of a more subtle regime, in which the many-body evolution can be approximated by means of the nonlinear gross-pitaevskii equation. Section 6 addresses fermionic systems (characterized by antisymmetric wave functions); here, the fermionic mean-field regime is naturally linked with a semi classical regime, and it is proven that the evolution of approximate slater determinants can be approximated using the nonlinear hartree-fock equation. In closing, section 7 reexamines the same fermionic mean-field regime, but with a focus on mixed quasi-free initial data approximating thermal states at positive temperature.

    Product Features:
    • Category Type: Physics
    • Author: Niels Benedikter, Marcello Porta and Benjamin Schlein
    • ISBN: 9783319248967
    • Binding: Paperback
    • Book Language: English
    • Publisher: Springer International Publishing AG
    • Number of Pages: 98
    • Weight: 0.17 kg
    • Book Origin: Switzerland
    • Publication Year: 2015
    • Series: SpringerBriefs in Mathematical Physics
 

Customer Reviews

0
No ratings yet
Be the first to rate this product
Rate this product:

Sponsored products for you

×

Please verify your mobile number to complete your checkout

We will send you an SMS containing a verification code. Please double check your mobile number and click on "Send Verification Code".

+ Edit