Complementary code keying: Difference between revisions
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The '''Duru–Kleinert transformation''', named after [[İsmail Hakkı Duru]] and [[Hagen Kleinert]], is a mathematical method for solving [[path integral formulation|path integrals]] of physical systems with singular potentials, which is necessary for the solution of all atomic path integrals due to the presence of [[Coulomb potential]]s (singular like <math>1/r</math>). | |||
The Duru–Kleinert transformation replaces the diverging time-sliced path integral of [[Richard Feynman]] (which thus does not exist) by a well-defined convergent one. | |||
== Papers == | |||
* H. Duru and [[Hagen Kleinert|H. Kleinert]], ''Solution of the Path Integral for the H-Atom'', [http://www.physik.fu-berlin.de/~kleinert/65/65.pdf Phys. Letters B 84, 185 (1979)] | |||
* H. Duru and [[Hagen Kleinert|H. Kleinert]], ''Quantum Mechanics of H-Atom from Path Integrals'', [http://www.physik.fu-berlin.de/~kleinert/83/83.pdf Fortschr. d. Phys. 30, 401 (1982)] | |||
* [[Hagen Kleinert|H. Kleinert]], ''Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets'' 3. ed., [http://www.worldscibooks.com/physics/5057.html World Scientific (Singapore, 2004)] ([http://www.physik.fu-berlin.de/~kleinert/b5 read book here]) | |||
{{DEFAULTSORT:Duru-Kleinert transformation}} | |||
[[Category:Quantum mechanics]] | |||
{{quantum-stub}} | |||
Latest revision as of 12:12, 14 March 2013
The Duru–Kleinert transformation, named after İsmail Hakkı Duru and Hagen Kleinert, is a mathematical method for solving path integrals of physical systems with singular potentials, which is necessary for the solution of all atomic path integrals due to the presence of Coulomb potentials (singular like ). The Duru–Kleinert transformation replaces the diverging time-sliced path integral of Richard Feynman (which thus does not exist) by a well-defined convergent one.
Papers
- H. Duru and H. Kleinert, Solution of the Path Integral for the H-Atom, Phys. Letters B 84, 185 (1979)
- H. Duru and H. Kleinert, Quantum Mechanics of H-Atom from Path Integrals, Fortschr. d. Phys. 30, 401 (1982)
- H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets 3. ed., World Scientific (Singapore, 2004) (read book here)