عنوان

Mathematical Results in Quantum Mechanics :

شابک

3034887450

شابک

9783034887458

شماره

b553491

عنوان اصلي

Mathematical Results in Quantum Mechanics :

نام عام مواد

[Book]

ساير اطلاعات عنواني

QMath7 Conference, Prague, June 22-26, 1998

نام نخستين پديدآور

edited by Jaroslav Dittrich, Pavel Exner, Miloš Tater.

محل نشرو پخش و غیره

Basel

نام ناشر، پخش کننده و غيره

Birkhäuser Basel

تاریخ نشرو بخش و غیره

1999

نام خاص و کميت اثر

(404 pages)

عنوان فروست

Operator theory, advances and applications, 108.

متن يادداشت

I Plenary talks --;An adiabatic theorem without a gap condition --;Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum --;Spectral problems in the theory of photonic crystals --;Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature --;The spectral shift operator --;On the scattering operator for the Schrödinger equation with a time-dependent potential --;H_2-construction and some applications --;Scattering with time periodic potentials and cyclic states --;Some geometry related to decay properties of the resolvent of a class of symmetric operators --;On some asymptotic formulas in the strong localization regime of the theory of disordered systems --;Spectral measures and category --;Quantum dots. A survey of rigorous results --;II Session talks --;A simple model of concentrated nonlinearity --;Anomalous electron trapping by magnetic flux tubes and electric current vortices --;On the absolutely continuous energy distribution of a quantum mechanical system in a bounded domain --;Some aspects of generalized contact interaction in one-dimensional quantum mechanics --;Traces and trace norms for semigroup differences. --;About a resolvent formula --;The determinant anomaly in low-dimensional quantum systems --;Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation --;Coexistence of different spectral types for almost periodic Schrödinger equations in dimension one --;Dynamical localization for random Schrödinger operators and an application to the almost Mathieu operator --;On fractal structure of the spectrum for periodic point perturbations of the Schrödinger operator with a uniform magnetic field --;A Weyl-Berry formula for the scattering operator associated to self-similar potentials on the line --;Localization and Lifshitz tails for random quantum waveguides --;Birman-Schwinger analysis for bound states in a pair of parallel quantum waveguides with a semitransparent boundary --;On the absolute continuity of spectra of periodic elliptic operators --;Hardy inequalities for magnetic Dirichlet forms --;Adiabatic curvature, chaos and the deformation of Riemann surfaces --;Operator interpretation of resonances arising in spectral problems for 2 x 2 matrix Hamiltonians --;On the operator-norm convergence of the Trotter-Kato product formula --;A particular case of the inverse problem for the Sturm-Liouville equation with parameter dependent potential --;One-dimensional Schrödinger operators with decaying potentials --;Stability of limiting absorption under singular perturbations --;Existence of averaging integrals for self-adjoint operators --;Monotonicity versus non-monotonicity in random operators --;A model in perturbation theory --;Band gap of the spectrum in periodically curved quantum waveguides --;A list of other talks --;A list of participants.

متن يادداشت

This book contains the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic, from June 22 to 26, 1998. The purpose is to draw attention to recent developments in quantum mechanics stemming from its numerous applications, and to related mathematical problems and techniques. This volume is addressed to the broad audience of mathematicians and physicists interested in contemporary quantum physics and associated mathematical questions. The reader will find new results on Schrdinger and Pauli operators with regular, fractal or random potentials, scattering theory, adiabatic analysis, as well as on interesting new physical systems such as photonic crystals, quantum dots and wires.

موضوع مستند نشده

Mathematical physics -- Congresses.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Quantum theory -- Mathematics -- Congresses.

مستند نام اشخاص تاييد نشده

edited by Jaroslav Dittrich, Pavel Exner, Miloš Tater.

مستند نام اشخاص تاييد نشده

J Dittrich

مستند نام اشخاص تاييد نشده

Miloš Tater

مستند نام اشخاص تاييد نشده

Pavel Exner

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y