ar X iv : 1 10 6 . 29 53 v 1 [ ph ys ic s . co m p - ph ] 1 5 Ju n 20 11 Lagrange - mesh calculations and Fourier transform
نویسنده
چکیده
The Lagrange-mesh method is a very accurate procedure to compute eigenvalues and eigenfunctions of a two-body quantum equation. The method requires only the evaluation of the potential at some mesh points in the configuration space. It is shown that the eigenfunctions can be easily computed in the momentum space by a Fourier transform using the properties of the basis functions. Observables in this space can also be easily obtained.
منابع مشابه
ar X iv : 1 20 6 . 69 21 v 1 [ ph ys ic s . so c - ph ] 2 9 Ju n 20 12 1 Dworkin ’ s Paradox
Dworkin’s Paradox Seung Ki Baek, Jung-Kyoo Choi, Beom Jun Kim3,∗ 1 Integrated Science Laboratory, Ume̊a University, S-901 87 Ume̊a, Sweden (Present address: School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea) 2 School of Economics and Trade, Kyungpook National University, Daegu 702-701, Korea 3 BK21 Physics Research Division and Department of Physics, Sungkyunkwan Univers...
متن کاملar X iv : 1 20 9 . 27 78 v 1 [ ph ys ic s . so c - ph ] 1 3 Se p 20 12 Pedestrian flow through multiple bottlenecks
Takahiro Ezaki, ∗ Daichi Yanagisawa, † and Katsuhiro Nishinari ‡ Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan College of Science, Ibaraki University, 2-1-1, Bunkyo, Mito, Ibaraki, 310-8512, Japan Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1, Komaba, Meguro-ku, Tok...
متن کاملar X iv : m at h - ph / 0 40 60 24 v 1 1 3 Ju n 20 04 p - Adic wavelet transform and quantum physics ∗
p-Adic wavelet transform is considered as a possible tool for the description of hierarchic quantum systems.
متن کاملar X iv : 0 80 1 . 06 64 v 1 [ ph ys ic s . co m p - ph ] 4 J an 2 00 8 When the spatial networks split ?
We consider a three dimensional spatial network, where N nodes are randomly distributed within a cube L×L×L. Each two nodes are connected if their mutual distance does not excess a given cutoff a. We analyse numerically the probability distribution of the critical density ρc = N(ac/L) , where one or more nodes become separated; ρc is found to increase with N as N, where N is between 20 and 300....
متن کاملNonequilibrium thermodynamics and boundary conditions for reaction and transport in heterogeneous media
X iv :1 80 3. 11 53 1v 1 [ ph ys ic s. ch em -p h] 3 0 M ar 2 01 8 Nonequilibrium thermodynamics and boundary conditions for reaction and transport in heterogeneous media Pierre Gaspard a) and Raymond Kapral b) Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium Chemical Physics Theory Group, Department of C...
متن کامل