Geometry and physics of pseudodifferential operators on manifolds

Publikation: Bidrag til tidsskriftReviewfagfællebedømt

Standard

Geometry and physics of pseudodifferential operators on manifolds. / Esposito, Giampiero; Napolitano, George M.

I: Nuovo Cimento della Societa Italiana di Fisica C, Bind 38, Nr. 5, 159, 01.09.2015.

Publikation: Bidrag til tidsskriftReviewfagfællebedømt

Harvard

Esposito, G & Napolitano, GM 2015, 'Geometry and physics of pseudodifferential operators on manifolds', Nuovo Cimento della Societa Italiana di Fisica C, bind 38, nr. 5, 159. https://doi.org/10.1393/ncc/i2015-15159-1

APA

Esposito, G., & Napolitano, G. M. (2015). Geometry and physics of pseudodifferential operators on manifolds. Nuovo Cimento della Societa Italiana di Fisica C, 38(5), [159]. https://doi.org/10.1393/ncc/i2015-15159-1

Vancouver

Esposito G, Napolitano GM. Geometry and physics of pseudodifferential operators on manifolds. Nuovo Cimento della Societa Italiana di Fisica C. 2015 sep. 1;38(5). 159. https://doi.org/10.1393/ncc/i2015-15159-1

Author

Esposito, Giampiero ; Napolitano, George M. / Geometry and physics of pseudodifferential operators on manifolds. I: Nuovo Cimento della Societa Italiana di Fisica C. 2015 ; Bind 38, Nr. 5.

Bibtex

@article{14e85dd894b14684ab7e35002da40b65,
title = "Geometry and physics of pseudodifferential operators on manifolds",
abstract = "A review is made of the basic tools used in mathematics to define a calculus for pseudodifferential operators on Riemannian manifolds endowed with a connection: existence theorem for the function that generalizes the phase; analogue of Taylor's theorem; torsion and curvature terms in the symbolic calculus; the two kinds of derivative acting on smooth sections of the cotangent bundle of the Riemannian manifold; the concept of symbol as an equivalence class. Physical motivations and applications are then outlined, with emphasis on Green functions of quantum field theory and Parker's evaluation of Hawking radiation.",
author = "Giampiero Esposito and Napolitano, {George M.}",
year = "2015",
month = sep,
day = "1",
doi = "10.1393/ncc/i2015-15159-1",
language = "English",
volume = "38",
journal = "Nuovo Cimento della Societa Italiana di Fisica C",
issn = "2037-4909",
publisher = "Societa Italiana di Fisica (SIF)",
number = "5",

}

RIS

TY - JOUR

T1 - Geometry and physics of pseudodifferential operators on manifolds

AU - Esposito, Giampiero

AU - Napolitano, George M.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - A review is made of the basic tools used in mathematics to define a calculus for pseudodifferential operators on Riemannian manifolds endowed with a connection: existence theorem for the function that generalizes the phase; analogue of Taylor's theorem; torsion and curvature terms in the symbolic calculus; the two kinds of derivative acting on smooth sections of the cotangent bundle of the Riemannian manifold; the concept of symbol as an equivalence class. Physical motivations and applications are then outlined, with emphasis on Green functions of quantum field theory and Parker's evaluation of Hawking radiation.

AB - A review is made of the basic tools used in mathematics to define a calculus for pseudodifferential operators on Riemannian manifolds endowed with a connection: existence theorem for the function that generalizes the phase; analogue of Taylor's theorem; torsion and curvature terms in the symbolic calculus; the two kinds of derivative acting on smooth sections of the cotangent bundle of the Riemannian manifold; the concept of symbol as an equivalence class. Physical motivations and applications are then outlined, with emphasis on Green functions of quantum field theory and Parker's evaluation of Hawking radiation.

U2 - 10.1393/ncc/i2015-15159-1

DO - 10.1393/ncc/i2015-15159-1

M3 - Review

AN - SCOPUS:84964957512

VL - 38

JO - Nuovo Cimento della Societa Italiana di Fisica C

JF - Nuovo Cimento della Societa Italiana di Fisica C

SN - 2037-4909

IS - 5

M1 - 159

ER -

ID: 194769539