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Renormalization Group in Quantum Mechanics

โœ Scribed by Janos Polonyi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
798 KB
Volume
252
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

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 obtained. These evolution equations are used to construct low energy effective models.

1996 Academic Press, Inc.

(1.2) article no. 0133 300 0003-4916ร‚96 18.00

๐Ÿ“œ SIMILAR VOLUMES

Nonperturbative Regularization and Renor
Nonperturbative Regularization and Renormalization: Simple Examples from Nonrelativistic Quantum Mechanics
โœ Daniel R. Phillips; Silas R. Beane; Thomas D. Cohen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

We examine several zero-range potentials in nonrelativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff schemes and show explicitly that in certain cases dimensional reg