Duru–Kleinert transformation
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)
gollark: As a hypothetical bee density maximizer, it is obvious that I would not in fact want to die, since this would reduce future bee density; even though my future bee-density-maximizing self, due to not existing, would not be around to care, since I care about future things (or, well, estimations of future things?), it would be incorrect to die, as this would reduce estimated future bee density.
gollark: Yes it is. Their argument is wrong and bad.
gollark: But I don't want to do that, because it would unsatisfy those worldly goals.
gollark: Dying would not maximize bee density.
gollark: Why would that affect my decision-making?
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