Stark Effect In A Hydrogenic Atom Or Ion: Treated By The Phase-integral Method With Adjoined Papers By A Hokback And P O
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This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrodinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published.

Lieferung aus: Deutschland, Versandkosten nach: Deutschland, Versandkostenfrei.
Von Händler/Antiquariat, buecher.de GmbH & Co. KG, [1].
This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students. Table of contents: Part I. Historical Survey: 1. History of an approximation method of wide importance in various branches of physics Part II. Description of the Phase-Integral Method: 2. Form of the wave function and the q-equation 3. Phase-integral approximation generated from an unspecified base function 4. F-matrix method 5. F-matrix connecting points on opposite sides of a well isolated turning point, and expressions for the wave function in these regions 6. Phase-integral connection formulas for a real, smooth, single-hump potential barrier Part III. Problems With Solutions: 1. Determination of a convenient base function 2. Determination of a phase-integral function satisfying the Schrödinger equation exactly 3. Properties of the phase-integral approximation along certain paths 4. Stokes constants and connection formulas 5. Airy's differential equation 6. Change of phase of the wave function in a classically allowed region due to the change of a boundary condition imposed in an adjacent classically forbidden region 7. Phase shift 8. Nearlying energy levels 9. Quantization conditions 10. Determination of the potential from the energy spectrum 11. Formulas for the normalization integral, not involving the wave function 12. Potential with a strong attractive Coulomb singularity at the origin 13. Formulas for expectation values and matrix elements, not involving the wave function 14. Potential barriers References. Covers a mathematical approximation method of central importance to many branches of theoretical physics, applied mathematics and engineering. Written with practical needs in mind, with 50 solved problems to demonstrate the applications of the method and the concepts involved. Ideal as an introduction for graduates and a reference for researchers. A mathematical approximation method important for many branches of theoretical physics, applied mathematics and engineering. 228 pages - 30 line diagrams 50 exercises Versandfertig in über 4 Wochen, Hardcover, Neuware.

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Von Händler/Antiquariat, Better World Books: West [4720790], Reno, NV, U.S.A.
Ships from Reno, NV. Shows some signs of wear, and may have some markings on the inside.

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bol.com.
This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of ... This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.Taal: Engels;Oorspronkelijke titel: Physical Problems Solved by the Phase-Integral Method;Afmetingen: 14x247x174 mm;Gewicht: 570,00 gram;Verschijningsdatum: juni 2002;ISBN10: 0521812097;ISBN13: 9780521812092; Engelstalig | Hardcover | 2002.

Lieferung aus: Frankreich, in-stock.
This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.

Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Verandgebiet: DOM.
Von Händler/Antiquariat, booklab, VA, Chantilly, [RE:4].
Great customer service. You will be happy! Hardcover.

Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Verandgebiet: DOM.
Von Händler/Antiquariat, Better World Books West, IN, Mishawaka, [RE:4].
Hard cover.

Lieferung aus: Deutschland, zzgl. Versandkosten.