The electronic Schrodi ] nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which...
The electronic Schrodi ] nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of t...
This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of sy...
Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.
Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutat...
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe field, including...
There is a range of literature dealing with the blow-up behavior of evolution equations, but this book 's fresh approach elucidates the theory by focusing on methodology, eschewing large-scale technical computations in favor of a simple illustrative equation.
There is a range of literature dealing with the blow-up behavior of evolution equations, but this book 's fresh approach elucidates the theory by f...
The research results of an international scientific project on approximation theory are presented in this volume. Topics discussed include the asymptotic behaviour of orthogonal polynomials, quadrature formulae, the theory of n-widths and wavelet analysis.
The research results of an international scientific project on approximation theory are presented in this volume. Topics discussed include the asympto...
Dealing with the subject of probability theory and statistics, this text includes coverage of: inverse problems; isoperimetry and gaussian analysis; and perturbation methods of the theory of Gibbsian fields.
Dealing with the subject of probability theory and statistics, this text includes coverage of: inverse problems; isoperimetry and gaussian analysis; a...
Features the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 1986.
Features the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 198...
