Transitions d’Anderson pour des opérateurs de Schrödinger quasi-périodiques en dimension 1
Two Hartree-Fock models for the vacuum polarization
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.
Universal forms for one-dimensional quantum Hamiltonians: a comparison of the SUSY and the de la Peña factorization approaches.
Using supermodels in quantum optics.
Velocity and Entropy of Motion in Periodic Potentials
This is a report on recent joint work with J. Asch, and with T. Hudetz and F. Benatti.We consider classical, quantum and semiclassical motion in periodic potentials and prove various results on the distribution of asymptotic velocities.The Kolmogorov-Sinai entropy and its quantum generalization, the Connes-Narnhofer-Thirring entropy, of the single particle and of a gas of noninteracting particles are related.
Wave operators for pairs of spaces and the Klein-Gordon equation.
Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation
We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an -body Hamiltonian with suitably renormalized two-body and three-body interaction potentials. We show that the corresponding mean-field theory (the time-dependent Hartree-Fock approximation) is “exact” as tends to infinity.
Weak Limits of Solutions to Semilinear Hyperbolic Sytems.
Wigner distribution functions and the representation of canonical transformations in time-dependent quantum mechanics.
Алгебра символов Вейля и задачи Коши для регулярных символов
Алгеброгеометрическoе интегрирование уравнения МНШ, конечнозонные решения и их вырождения
Анзац с полиномами Эрмита для многомерной потенциальной ямы
Гамильтоновы структуры нелинейных эволюционных уравнений, связанных с полиномиальным пучком
Диаграмма направленности излучения в задаче с точкой перегиба границы
Дискретный вариант уравнения Ландау-Лифшица
Квантовое рассеяние в калибровочных полях адиабатических представлений
Конструктивный подход к квантовой модели . Метод уравнений Гельфанда-Левитана-Марченко
Краевая задача для нелинейного уравнения Шредингера
О спектре одномерного уравнения Шредингера со случайным потенциалом
О щели в энергетическом спектре одномерного оператора Дирака