Classical scattering theory in one dimension
نویسندگان
چکیده
منابع مشابه
Inverse scattering theory: renormalization of the Lippmann-Schwinger equation for acoustic scattering in one dimension.
The most robust treatment of the inverse acoustic scattering problem is based on the reversion of the Born-Neumann series solution of the Lippmann-Schwinger equation. An important issue for this approach to inversion is the radius of convergence of the Born-Neumann series for Fredholm integral kernels, and especially for acoustic scattering for which the interaction depends on the square of the...
متن کاملBounds on Scattering Poles in One Dimension
For the class of super-exponentially decaying potentials on the real line sharp upper bounds on the counting function of the poles in discs are derived and the density of the poles in strips is estimated. In the case of nonnegative potentials, explicit estimates for the width of a pole-free strip are obtained.
متن کاملWave scattering in one dimension with absorption
Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrödinger equation dc/dx1kc5@ ikP(x) 1Q(x)#c , where P(x) and Q(x) are real, integrable potentials with finite first moments. Various properties of the scattering solutions are obtained. The corresponding scattering matrix is analyzed, and its small-k and large-k asymptotics are established. Th...
متن کاملDynamical theory of superfluidity in one dimension.
A theory accounting for the dynamical aspects of the superfluid response of one dimensional (1D) quantum fluids is reported. In long 1D systems, the onset of superfluidity is related to the dynamical suppression of quantum phase slips at low temperatures. The effect of this suppression as a function of frequency and temperature is discussed within the framework of the experimentally relevant mo...
متن کاملClassical Aspects of Quantum Walls in One Dimension
We investigate the system of a particle moving on a half line x ≥ 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1989
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01238807