product description page

Effective Evolution Equations from Quantum Dynamics (Paperback) (Niels Benedikter)

$52.24
MSRPReg: $54.99 Save $2.75 (5% off)
shipping not available
free order pickup not available
not sold at Atlanta Edgewood

about this item

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.

more to consider

  • Eco-nomics : What Everyone Should Know About Economics and the Environment (Paperback) (Richard L.

    $12.95

  • El nuevo orden mundial / New World Order (Paperback) (A. Ralph Epperson)

    $21.20

  • Location Filming in the Alabama Hills (Paperback) (Charles Michael Morfin)

    $18.69

  • Erté Starstruck : Blank Sketch Book (Hardcover)

    $13.59

  • Environment and Politics (Revised) (Paperback) (Timothy Doyle)

    $54.99

recommended

  • Garmin Vivosmart® 3 Fitness Assessment Monitor Small/Medium - Black

    $119.99

  • Five finger death pu - Wrong side of heaven/Righteous v1 (CD)

    $12.29

  • Women's Pair of Thieves Sport Socks (Jubilee) - Black 6-10

    $5.98

  • Aveeno® Ultra-Calming® Daily Moisturizer For Sensitive Skin With Broad Spectrum SPF 15 - 4 fl oz

    $13.79

  • Vasilus Bonded Leather 29.5" Barstool Set 2ct - Christopher Knight Home

    $269.59 - $336.79


from the manufacturer


guest reviews

Prices, promotions, styles and availability may vary by store & online. See our price match guarantee. See how a store is chosen for you.