Effective Evolution Equations From Quantum Dynamics Paperback English by Niels Benedikter - 14-Oct-15
Was:
EGP 814.80
Now:
EGP 776.00 Inclusive of VAT
Saving:
EGP 38.80
Yellow Friday Deal💛
Only 1 left in stock
Get it by 6 Dec
Pay 6 monthly payments of EGP 130.00.
1
Free delivery on Lockers & Pickup Points
Learn more
Enjoy hassle free returns with this offer.
(Original Copy - نسخه أصلية)
Item as Described
80%
Partner Since
5+ Years
Great Recent Rating
Specifications
| Publisher | Springer |
| ISBN 13 | 9783319248967 |
| ISBN 10 | 3319248960 |
| Book Subtitle | Springerbriefs In Mathematical Physics |
| Book Description | These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrödinger 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 semiclassical 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. |
| Language | English |
| Author | Niels Benedikter |
| Edition Number | 1st edition |
| Publication Date | 14-Oct-15 |
| Number of Pages | 100 |
Effective Evolution Equations From Quantum Dynamics Paperback English by Niels Benedikter - 14-Oct-15
Added to cart
Cart Total EGP 776.00
