The Duru–Kleinert transformation, named after
İsmail Hakkı Duru
İsmail Hakkı Duru is a Turkish
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*a Turkic language spoken by the Turks
* of or about Turkey
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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 potential
The electric potential (also called the ''electric field potential'', potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in ...
s (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
Quantum mechanics
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