A Note on the Extrinsic Phase Space Path Integral Method for Quantization on Riemannian Manifold Particle Motions — An Application of the Nash Embedding Theorem
Document title: A Note on the Extrinsic Phase Space Path Integral Method for Quantization on Riemannian Manifold Particle Motions — An Application of the Nash Embedding Theorem
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000397890
ISSN: 0103-9733
Authors: 1
Institutions: 1Universidade Federal Fluminense, Instituto de Matematica, Niteroi, Rio de Janeiro. Brasil
Year:
Season: Dic
Volumen: 42
Number: 5-6
Pages: 482-486
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract We use Nash embedding for Riemann smooth manifolds to propose a constrained phase space path integral for quantization of one particle motion in a Riemannian manifold
Disciplines: Física y astronomía,
Matemáticas
Keyword: Física de partículas y campos cuánticos,
Matemáticas aplicadas,
Geometría diferencial,
Variedades Riemannianas,
Cuantización,
Teorema de inmersión de Nash
Keyword: Physics and astronomy,
Mathematics,
Particle physics and quantum fields,
Applied mathematics,
Differential geometry,
Riemannian manifolds,
Quantization,
Nash embedding theorem
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