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Renormalization group at finite temperature in quantum mechanics

✍ Scribed by Pierre Gosselin; Benoit Grosdidier; Hervé Mohrbach

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
73 KB
Volume
256
Category
Article
ISSN
0375-9601

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✦ Synopsis

We establish the exact renormalization group equation for the potential of a one quantum particle system at finite and zero temperature. As an example we use it to compute the ground state energy of the anharmonic oscillator. We comment on an improvement of the Feynman-Kleinert's variational method by the renormalization group.

📜 SIMILAR VOLUMES

Renormalization Group in Quantum Mechani
Renormalization Group in Quantum Mechanics
✍ Janos Polonyi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 798 KB

The running coupling constants are introduced in quantum mechanics and their evolution is described with the help of the renormalization group equation. The harmonic oscillator and the propagation on curved spaces are presented as examples. The Hamiltonian and the Lagrangian scaling relations are ob