Titlebook: Mathematical Results in Quantum Mechanics; QMath7 Conference, P Jaroslav Dittrich,Pavel Exner,Miloš Tater Conference proceedings 1999 Sprin

令人发腻

rheumatism

小样他闲聊

On the scattering operator for the Schrödinger equation with a time-dependent potentialdinger equa-tion . and the full schrödinger equation.. Here V is a potential depending explicitly on time. The solution to (1) is given by . with the domain being the usual Sobolev space of order 2, .(.) = ..(..). If we assume .(., .) a real-valued function, such that . ∈ ..(.; ..(..)), then associa

restrain

scrutiny

Scattering with time periodic potentials and cyclic stateseriodic potential with period . We show that the correspond­ing monodromy operator has in general both absolutely continuous spectrum and point spectrum (cyclic states) when the period is small enough. In fact, these cyclic states originate from the eigenstates of the static time-averaged Hamiltonia

休战

Some geometry related to decay properties of the resolvent of a class of symmetric operatorsestimate the decay properties of the resolvent, in terms of an appropriate distance defined by the operator . and stability sets. We also give the criteria of invariance of these sets under exponential changes of scales. Next, we give the example of the non-triviality of stability distances for ergo

Urea508

On Some Asymptotic Formulas in the Strong Localization Regime of the Theory of Disordered Systemssystems: the density of states (the DOS) and the conductivity. First we outline heuristic arguments dating back to I.Lifshitz and allowing us to write the leading term of the low-energy asymptotics of the logarithm of the DOS for the non-positive Poisson potential, less studied so far than, say, the

MURKY

污秽

Quantum dots their de Broglie wavelength. If the confinement is only in one spatial direction such systems are called . In . the electrons can move freely in one dimension but are restricted in the other two. Structures that restrict the motion of the electrons in all directions are called . The number of elect

Between

Anomalous electron trapping by magnetic flux tubes and electric current vorticesvestigate the corresponding Pauli Hamiltonian. We prove a lower bound on the number of bound states for the case when . is of a compact support and the related flux is . + ., .∈(0, 1]. In particular, there are at least . + 1 bound states if . does not change sign. We also consider the situation wher