relativistic Coulomb equations
♦
5 matching pages ♦
(0.002 seconds)
5 matching pages
1: 33.22 Particle Scattering and Atomic and Molecular Spectra
…
►The relativistic motion of spinless particles in a Coulomb field, as encountered in pionic atoms and pion-nucleon scattering (Backenstoss (1970)) is described by a Klein–Gordon equation equivalent to (33.2.1); see Barnett (1981a).
The motion of a relativistic electron in a Coulomb field, which arises in the theory of the electronic structure of heavy elements (Johnson (2007)), is described by a Dirac equation.
…
►
•
…
2: 18.39 Applications in the Physical Sciences
…
►
§18.39(ii) A 3D Separable Quantum System, the Hydrogen Atom
… ►The non-relativistic Schrödinger equation describing a single, bound (negative energy) electron, in an eigenstate of energy is: … ►The Relativistic Quantum Coulomb Problem
►Bound state solutions to the relativistic Dirac Equation, for this same problem of a single electron attracted by a nucleus with protons, involve Laguerre polynomials of fractional index. … ►Discretized and Continuum Expansions of Scattering Eigenfunctions in terms of Pollaczek Polynomials: J-matrix Theory
…3: 13.28 Physical Applications
…
►
§13.28(i) Exact Solutions of the Wave Equation
►The reduced wave equation in paraboloidal coordinates, , , , can be solved via separation of variables , where …and , , denotes any pair of solutions of Whittaker’s equation (13.14.1). … ►§13.28(ii) Coulomb Functions
… ►For dynamics of many-body systems see Meden and Schönhammer (1992); for tomography see D’Ariano et al. (1994); for generalized coherent states see Barut and Girardello (1971); for relativistic cosmology see Crisóstomo et al. (2004).4: Bibliography P
…
►
Sur les équations différentielles du second ordre à points critiques fixès.
C.R. Acad. Sc. Paris 143, pp. 1111–1117.
…
►
Smoothing of the Stokes phenomenon for high-order differential equations.
Proc. Roy. Soc. London Ser. A 436, pp. 165–186.
…
►
A uniform asymptotic expansion for the incomplete gamma function.
J. Comput. Appl. Math. 148 (2), pp. 323–339.
…
►
Recurrence formulas for Coulomb wave functions.
Physical Rev. (2) 72 (7), pp. 626–627.
…
►
Comoving coordinate system for relativistic hydrodynamics.
Phy. Rev. C 75, pp. (024907–1)–(024907–10).
…
5: Bibliography G
…
►
Algorithm 292: Regular Coulomb wave functions.
Comm. ACM 9 (11), pp. 793–795.
…
►
The Computation of Special Functions by Linear Difference Equations.
In Advances in Difference Equations (Veszprém, 1995), S. Elaydi, I. Győri, and G. Ladas (Eds.),
pp. 213–243.
…
►
Linear Differential Equations and Group Theory from Riemann to Poincaré.
2nd edition, Birkhäuser Boston Inc., Boston, MA.
…
►
Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics.
Texts and Monographs in Physics, Springer.
…
►
Algorithm 300: Coulomb wave functions.
Comm. ACM 10 (4), pp. 244–245.
…