令人发腻
发表于 2025-3-28 16:22:22
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rheumatism
发表于 2025-3-28 22:22:51
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小样他闲聊
发表于 2025-3-29 01:15:01
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
发表于 2025-3-29 07:09:56
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scrutiny
发表于 2025-3-29 10:20:20
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
发表于 2025-3-29 14:44:40
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
发表于 2025-3-29 17:54:44
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
发表于 2025-3-29 23:36:09
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污秽
发表于 2025-3-30 02:47:19
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
发表于 2025-3-30 06:41:42
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