Additional WKB Inversion Relations for Bound‐State and Scattering Problems
نویسندگان
چکیده
منابع مشابه
Light scattering by cubical particle in the WKB approximation
In this work, we determined the analytical expressions of the form factor of a cubical particle in the WKB approximation. We adapted some variables (size parameter, refractive index, the scattering angle) and found the form factor in the approximation of Rayleigh-Gans-Debye (RGD), Anomalous Diffraction (AD), and determined the efficiency factor of the extinction. Finally, to illustrate our form...
متن کاملComplex WKB Method for 3-Level Scattering Systems
In this note, recent developements of the Complex WKB method allowing to compute the S-matrix naturally associated with a singularly perturbed three-dimensional system of linear diierential equations without turning point on the real axis are reviewed. It is shown that for a fairly large class of examples, the Complex WKB method gives results far better than what is proven under generic circums...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Inversion Relations, Reciprocity and Polyominoes
We derive self-reciprocity properties for a number of polyomino generating functions, including several families of column-convex polygons, three-choice polygons and staircase polygons with a staircase hole. In so doing, we establish a connection between the reciprocity results known to combinatorialists and the inversion relations used by physicists to solve models in statistical mechanics. Fo...
متن کاملDbrane boundstate wavefunctions
A simple WKB approximation gives explicit information about D0brane boundstate wavefunctions, suggesting that at large N each individual D0brane has a wavefunction exp(−cr9/2N−1/2). Thus the velocity dependent interaction energy v4r−7 leads to an effective confining potential that grows as r7. Dbrane boundstate wavefunctions play a prominent rôle in recent advances in nonperturbative string the...
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: The Journal of Chemical Physics
سال: 1971
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.1674655