Madelung equations

Madelung equations

The Madelung equations are Erwin Madelung's alternative formulation of the Schrödinger equation.

Equations

The first equation has the form of a continuity equation.

: partial_t ho +frac{1}{m} ablacdot( ho abla S)= 0

The second equation is a Hamilton–Jacobi equation.

: partial_t S +frac{1}{2m}( abla S)^2 +V(x)- frac{hbar^2}{2m} frac{Delta sqrt{ ho{sqrt{ ho= 0

where abla S is interpreted as an impulse.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Madelung — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Patronymes Aage Madelung (1872 1949), écrivain danois Erwin Madelung (1881 1972), physicien allemand (fils d Otto Wilhelm, frère de Georg Hans et de… …   Wikipédia en Français

  • Erwin Madelung — (May 18, 1881 – August 1, 1972) was a German physicist. He was born in 1881 in Frankfurt/Main. His father was the surgeon Otto Wilhelm Madelung.He earned a doctorate in 1905 from the University of Goettingen, specializing in crystal structure,… …   Wikipedia

  • Erwin Madelung — (18 mai 1881 à Bonn; 1er août 1972 à Francfort sur le Main) était un physicien allemand. Vie et oeuvre Erwin Madelung a grandi à Bonn, à Rostock et à Strasbourg, où son père Otto Madelung (1846–1926) était directeur de la clinique de chirurgie de …   Wikipédia en Français

  • De Broglie–Bohm theory — Quantum mechanics Uncertainty principle …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Scientific phenomena named after people — This is a list of scientific phenomena and concepts named after people (eponymous phenomena). For other lists of eponyms, see eponym. NOTOC A* Abderhalden ninhydrin reaction Emil Abderhalden * Abney effect, Abney s law of additivity William de… …   Wikipedia

  • Electron configuration — Electron atomic and molecular orbitals Simp …   Wikipedia

  • Classical and quantum conductivity — Classical and quantum mechanical views of conductivity have both described the movements of electrons in a metallic solid. The free electron gas that is present in metallic solids is the reason for an important property of all metals:… …   Wikipedia

  • Reinhard Oehme — (* 26. Januar 1928 in Wiesbaden; † zwischen dem 29. September und 4. Oktober 2010[1]) war ein deutsch amerikanischer theoretischer Physiker. Oehme war bekannt für die Entdeckung der Nicht Erhaltung der Ladungskonjugation im Zusammenhang mit… …   Deutsch Wikipedia

  • Atomic orbital — The shapes of the first five atomic orbitals: 1s, 2s, 2px, 2py, and 2pz. The colors show the wave function phase. These are graphs of ψ(x,y,z) functions which depend on the coordinates of one electron. To see the elongated shape of ψ(x,y,z)2… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”