The Duru–Kleinert transformation, named after
İsmail Hakkı Duru and
Hagen Kleinert
Hagen Kleinert (born 15 June 1941) is professor of theoretical physics at the Free University of Berlin, Germany (since 1968)Honorary Doctorat the
West University of Timișoaraandat thin Bishkek. He is alsHonorary Memberof th For his contributio ...
, 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 potential
Electric potential (also called the ''electric field potential'', potential drop, the electrostatic potential) is defined as electric potential energy per unit of electric charge. More precisely, electric potential is the amount of work (physic ...
s (singular like
).
The Duru–Kleinert transformation replaces the diverging time-sliced path integral of
Richard Feynman
Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist. He is best known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of t ...
(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
Quantum mechanics
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