Curvature Induced Toroidal Bound States
نویسنده
چکیده
Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established. Pacs number(s): 03.65Ge, 68.65.-k
منابع مشابه
Minimum Tenacity of Toroidal graphs
The tenacity of a graph G, T(G), is dened by T(G) = min{[|S|+τ(G-S)]/[ω(G-S)]}, where the minimum is taken over all vertex cutsets S of G. We dene τ(G - S) to be the number of the vertices in the largest component of the graph G - S, and ω(G - S) be the number of components of G - S.In this paper a lower bound for the tenacity T(G) of a graph with genus γ(G) is obtained using the graph's connec...
متن کاملShape Transformations of Free, Toroidal and Bound Vesicles
Shapes and shape transformations of vesicles are considered theoretically within the spontaneous curvature model for three cases. (i) For free vesicles, the whole phase diagram is presented which includes pear-shaped vesicles and a line of limit shapes related to budding. (ii) For toroidal vesicles, three branches of solutions with low energy are found. (iii) An extension of this model to the a...
متن کاملPlasma Metric Singularities in Helical Devices and Tearing Instabilities in Tokamaks
Plasma toroidal metric singularities in helical devices and tokamaks, giving rise to magnetic surfaces inside the plasma devices are investigated in two cases. In the first we consider the case of a rotational plasma on an helical device with circular cross-section and dissipation. In this case singularities are shown to place a Ricci scalar curvature bound on the radius of the surface where th...
متن کاملInfluence of Anisotropic Membrane Properties on the Shape of the Membrane
Membranous structures that are composed of particles with in-plane C2 group symmetry are studied. Starting from a singleconstituent energy it is derived that the relevant invariants for description of such systems are the mean curvature and the curvature deviator; the energy of the system can be expressed in a simple and transparent form by these two invariants while their average values span t...
متن کاملNon-equilibrium quasi-stationary states in a magnetized plasma
Non-equilibrium quasi-stationary states resulting from curvature driven interchange instabilities and driftwave instabilities in a low beta, weakly ionized, magnetized plasma are investigated in the context of laboratory experiments in a toroidal configuration. Analytic modelling, numerical simulations and experimental results are discussed with emphasis on identifying the unstable modes and un...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003