D-Index & Metrics Best Publications
José M. Gracia-Bondía

José M. Gracia-Bondía

University of Zaragoza
Spain

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Algebra
  • Quantum field theory

His primary areas of study are Noncommutative geometry, Noncommutative quantum field theory, Spectral triple, Noncommutative algebraic geometry and Mathematical physics. His Noncommutative geometry study is concerned with the larger field of Pure mathematics. His Noncommutative quantum field theory study combines topics from a wide range of disciplines, such as Standard Model, Particle physics, Differential geometry and Chiral anomaly.

His work deals with themes such as Quantum differential calculus and Quantum mechanics, Lie algebra, which intersect with Spectral triple. His Quantum differential calculus research incorporates elements of Quantum group, Noncommutative torus and Noncommutative topology. José M. Gracia-Bondía focuses mostly in the field of Mathematical physics, narrowing it down to topics relating to Standard Model and, in certain cases, Elementary particle and Operator.

His most cited work include:

  • Elements of Noncommutative Geometry (689 citations)
  • Algebras of distributions suitable for phase-space quantum mechanics. I (270 citations)
  • The Moyal representation for spin (237 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Noncommutative geometry, Renormalization, Mathematical physics, Theoretical physics and Pure mathematics. His research integrates issues of Differential geometry and Standard Model in his study of Noncommutative geometry. His studies deal with areas such as Feynman diagram, Quantum field theory, Algebraic number and Higgs boson as well as Renormalization.

His work carried out in the field of Mathematical physics brings together such families of science as Quantization, Convolution and Quantum mechanics. His work deals with themes such as Phase space, Boson, Quantum and Introduction to gauge theory, Gauge theory, which intersect with Theoretical physics. His Pure mathematics study which covers Mathematical analysis that intersects with Product.

He most often published in these fields:

  • Noncommutative geometry (38.21%)
  • Renormalization (39.84%)
  • Mathematical physics (35.77%)

What were the highlights of his more recent work (between 2011-2021)?

  • Quantum mechanics (30.08%)
  • Theoretical physics (26.83%)
  • Renormalization (39.84%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Quantum mechanics, Theoretical physics, Renormalization, Mathematical physics and Phase space. His work in the fields of Quantum entanglement, Excited state and Fermi statistics overlaps with other areas such as Quantum chemistry. His Theoretical physics research is multidisciplinary, incorporating perspectives in Field, Boson, Spin-½ and Amplitude.

Particularly relevant to Functional renormalization group is his body of work in Renormalization. His work in Mathematical physics is not limited to one particular discipline; it also encompasses Quantum. José M. Gracia-Bondía interconnects Representation theory, Quantization, Ground state, Symplectic geometry and Lie algebra in the investigation of issues within Phase space.

Between 2011 and 2021, his most popular works were:

  • Quasipinning and entanglement in the lithium isoelectronic series (38 citations)
  • On the assertion that PCT violation implies Lorentz non-invariance (24 citations)
  • On the assertion that PCT violation implies Lorentz non-invariance (24 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Algebra
  • Mathematical analysis

Quantum mechanics, Phase space, Theoretical physics, Quantum entanglement and Renormalization are his primary areas of study. His Quantum mechanics research is multidisciplinary, incorporating elements of Mathematical physics, Differential, Upper and lower bounds, Numerical analysis and Series. His Phase space research is multidisciplinary, relying on both State, Spin, Excited state, Singlet state and Ground state.

His studies in Theoretical physics integrate themes in fields like Current, Causal perturbation theory and Lorentz covariance. His Quantum entanglement research integrates issues from Quantum information, Work, Pauli exclusion principle and Rank. His study of Functional renormalization group is a part of Renormalization.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Elements of Noncommutative Geometry

José M. Gracia-Bondía;Joseph C. Várilly;Héctor Figueroa.
(2000)

944 Citations

Algebras of distributions suitable for phase-space quantum mechanics. I

José M. Gracia‐Bondía;Joseph C. Várilly.
Journal of Mathematical Physics (1988)

297 Citations

The Moyal representation for spin

Joseph C. Varilly;Jose M. Gracia-Bondia.
Annals of Physics (1989)

286 Citations

Moyal Planes are Spectral Triples

V. Gayral;V. Gayral;J.M. Gracia-Bondía;B. Iochum;B. Iochum;T. Schücker;T. Schücker.
Communications in Mathematical Physics (2004)

254 Citations

Connes' noncommutative differential geometry and the standard model

Joseph C. Varilly;Jose M. Gracia-Bondia;Jose M. Gracia-Bondia.
Journal of Geometry and Physics (1993)

215 Citations

The Standard Model as a noncommutative geometry: the low-energy regime

C.P. Martin;Jose M. Gracia-Bondia;Joseph C. Varilly.
Physics Reports (1998)

180 Citations

Chiral gauge anomalies on noncommutative R**4

Jose M. Gracia-Bondia;C.P. Martin.
Physics Letters B (2000)

142 Citations

Infinitely many star products to play with

José M. Gracia-Bondía;Fedele Lizzi;Giuseppe Marmo;Patrizia Vitale.
Journal of High Energy Physics (2002)

132 Citations

Combinatorial Hopf algebras in quantum field theory. I

Héctor Figueroa;José M. Gracia-Bondía.
Reviews in Mathematical Physics (2005)

126 Citations

ON THE ULTRAVIOLET BEHAVIOR OF QUANTUM FIELDS OVER NONCOMMUTATIVE MANIFOLDS

Joseph C. Várilly;José M. Gracia-Bondía.
International Journal of Modern Physics A (1999)

125 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing José M. Gracia-Bondía

Raimar Wulkenhaar

Raimar Wulkenhaar

University of Münster

Publications: 58

Fedor Sukochev

Fedor Sukochev

University of New South Wales

Publications: 40

Alain Connes

Alain Connes

Collège de France

Publications: 31

Dmitri Vassilevich

Dmitri Vassilevich

Universidade Federal do ABC

Publications: 30

Harald Grosse

Harald Grosse

University of Vienna

Publications: 26

Matilde Marcolli

Matilde Marcolli

California Institute of Technology

Publications: 26

Li Guo

Li Guo

Rutgers, The State University of New Jersey

Publications: 23

Alan L. Carey

Alan L. Carey

Australian National University

Publications: 22

Marc A. Rieffel

Marc A. Rieffel

University of California, Berkeley

Publications: 19

Paolo Aschieri

Paolo Aschieri

University of Eastern Piedmont Amadeo Avogadro

Publications: 18

Richard J. Szabo

Richard J. Szabo

Heriot-Watt University

Publications: 15

Giuseppe Marmo

Giuseppe Marmo

University of Naples Federico II

Publications: 14

José F. Cariñena

José F. Cariñena

University of Zaragoza

Publications: 14

Dirk Kreimer

Dirk Kreimer

Humboldt-Universität zu Berlin

Publications: 10

Jesús S. Dehesa

Jesús S. Dehesa

University of Granada

Publications: 8

Klaus Fredenhagen

Klaus Fredenhagen

Universität Hamburg

Publications: 7

Trending Scientists

Szymon Rusinkiewicz

Szymon Rusinkiewicz

Princeton University

Jyh-Myng Zen

Jyh-Myng Zen

National Chung Hsing University

Jonathan Almer

Jonathan Almer

Argonne National Laboratory

Jean-Christophe Simon

Jean-Christophe Simon

University of Rennes

Richard B. Aronson

Richard B. Aronson

Florida Institute of Technology

John R. Poulsen

John R. Poulsen

Duke University

Johan Staaf

Johan Staaf

Lund University

Catriona L. Hurd

Catriona L. Hurd

University of Tasmania

Wilhelm Haas

Wilhelm Haas

Harvard University

Terry E. Tullis

Terry E. Tullis

Brown University

Guan Le

Guan Le

Goddard Space Flight Center

Anton J. L. M. van Balkom

Anton J. L. M. van Balkom

Vrije Universiteit Amsterdam

Steve Martino

Steve Martino

Yale University

Abdulmaged M. Traish

Abdulmaged M. Traish

Boston University

Alicia Ely Yamin

Alicia Ely Yamin

Harvard University

R. Barry Ruback

R. Barry Ruback

Pennsylvania State University

Something went wrong. Please try again later.