Analytic continuation of mayer and virial expansionsSpringer Science and Business Media LLC - Tập 92 - Trang 791-798 - 1992
G. I. Kalmykov
Functions that under certain assumptions are analytic continuations of Mayer expansions are found. It is shown that there exists a positive numberρ
1 satisfying the following conditions: 1) for any interval of the form [0,ρ
1(1−ε)], where 0<ɛ<1, there exists a region containing this interval in which there is defined a single-valued analytic single-sheeted function that is the inverse with respect...... hiện toàn bộ
Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting CasesSpringer Science and Business Media LLC - Tập 127 Số 3 - Trang 767-778 - 2001
Klein, C.
We continue to study the construction of explicit solutions of the stationary axisymmetric Einstein equations, interpretable as counterrotating disks of dust. We discuss the previously constructed class of solutions for disks with constant angular velocity and constant relative density. The metric for these space–times is given in terms of theta functions on a Riemann surface of genus two. We disc...... hiện toàn bộ
Essential Schrödinger operator spectrum of one system of four particles on a latticeSpringer Science and Business Media LLC - Tập 123 - Trang 483-488 - 2000
Zh. I. Abdullaev
The energy operator of a system of four particles on a lattice where only two pairs of the particles interact is considered. There exist four mutually orthogonal subspaces, invariant with respect to the energy operator and such that their direct sum is equal to the entire space. The spectra of the restrictions of the energy operator to these invariant spaces are found. The dependence of the essent...... hiện toàn bộ