Bound states in one and two spatial dimensions
نویسندگان
چکیده
منابع مشابه
Cern-th/2003-235 Bound States in Two Spatial Dimensions in the Non-central Case
We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the BirmanSchwinger bound in three dimensions. Specifically, counting the number of bound states in a potential gV for g = 1 is replaced by counting the number of gi’s for which zero energy bound states exist, and then the kernel...
متن کاملBound states in coupled guides . I . Two dimensions
Bound states that can occur in coupled quantum wires are investigated. We consider a two-dimensional configuration in which two parallel waveguides (of different widths) are coupled laterally through a finite length window and construct modes which exist local to the window connecting the two guides. We study both modes above and below the first cut-off for energy propagation down the coupled g...
متن کاملCurvature{induced Bound States in Quantum Waveguides in Two and Three Dimensions
Dirichlet Laplacian on curved tubes of a constant cross section in two and three dimensions is investigated. It is shown that if the tube is non{straight and its curvature vanishes asymptotically, there is always a bound state below the bottom of the essential spectrum. An upper bound to the number of these bound states in thin tubes is derived. Furthermore, if the tube is only slightly bent, t...
متن کاملBound states of attractive Bose-Einstein condensates in shallow traps in two and three dimensions
Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive interaction (with cubic or Kerr nonlinearity) we show that a stable bound state can appear in a Bose-Einstein condensate (BEC) in a localized exponentially-screened radially-symmetric harmonic potential well in two and three dimensions. We also consider an axially-symmetric configuration with ze...
متن کاملAdaptive Searching in One and Two Dimensions
Searching in a geometric space is an active area of research, predating computer technology. The applications are varied ranging from robotics, to search-andrescue operations in the high seas [24, 23] as well as in land, such as in an avalanche [5] or an office space [12, 7, 13], to scheduling of heuristic algorithms for solvers searching an abstract solution space for a specific solution [16, ...
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: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1532538