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- Dmitri Vassilevich

Mathematics

Brazil

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
6,275
161
World Ranking
1307
National Ranking
6

2023 - Research.com Mathematics in Brazil Leader Award

2022 - Research.com Mathematics in Brazil Leader Award

- Quantum mechanics
- Quantum field theory
- Mathematical analysis

Dmitri Vassilevich mainly investigates Mathematical physics, Boundary value problem, Heat kernel, Dilaton and Classical mechanics. Mathematical analysis and Quantum mechanics are the subject areas of his Heat kernel study. His Mathematical analysis research is multidisciplinary, incorporating elements of Spinor and Scalar.

His Dilaton research includes elements of Quantization, Effective action, Path integral formulation and Conformal symmetry. His biological study spans a wide range of topics, including Immirzi parameter, Theoretical physics and Massless particle. Dmitri Vassilevich has included themes like Gravitation, Black hole and Quantum field theory in his Theoretical physics study.

- Heat kernel expansion: user's manual (935 citations)
- Heat kernel expansion: user's manual (935 citations)
- Dilaton gravity in two-dimensions (462 citations)

His primary areas of investigation include Mathematical physics, Heat kernel, Boundary value problem, Dilaton and Theoretical physics. His research in Mathematical physics intersects with topics in Path integral formulation and Quantum mechanics. He has researched Heat kernel in several fields, including Conformal map, Graviton, Fermion, Scalar and Spectral geometry.

His Boundary value problem research is included under the broader classification of Mathematical analysis. His Dilaton research incorporates elements of Quantization, Quantum, Black hole and Classical mechanics. His Theoretical physics study combines topics in areas such as Field, Gravitation, Action and Parity anomaly.

- Mathematical physics (69.85%)
- Heat kernel (45.59%)
- Boundary value problem (36.76%)

- Mathematical physics (69.85%)
- Theoretical physics (28.31%)
- Boundary value problem (36.76%)

Dmitri Vassilevich spends much of his time researching Mathematical physics, Theoretical physics, Boundary value problem, Casimir effect and Boundary. His Mathematical physics research is multidisciplinary, relying on both Mixing and Scalar. His Theoretical physics research includes themes of Standard Model, Action, Parity anomaly, Electromagnetic field and Field.

His Boundary value problem study deals with Conformal symmetry intersecting with Manifold, Curvature, Gravitation and Quantum statistical mechanics. His Casimir effect research is classified as research in Quantum mechanics. Effective action is closely connected to Quantum in his research, which is encompassed under the umbrella topic of Dirac fermion.

- Menagerie of AdS2 boundary conditions (75 citations)
- Menagerie of AdS2 boundary conditions (75 citations)
- Menagerie of AdS$oldsymbol{_2}$ boundary conditions (62 citations)

- Quantum mechanics
- Quantum field theory
- Mathematical analysis

Dmitri Vassilevich mostly deals with Mathematical physics, Dilaton, Boundary value problem, Parity anomaly and Parity. As part of the same scientific family, Dmitri Vassilevich usually focuses on Dilaton, concentrating on Anti-de Sitter space and intersecting with AdS/CFT correspondence. His biological study deals with issues like Conformal symmetry, which deal with fields such as Gravitation, Curvature and Manifold.

Parity anomaly is a subfield of Quantum mechanics that he explores. His study in the field of Conductivity and Chern–Simons theory also crosses realms of Materials science and Planar. His study of Effective action is a part of Theoretical physics.

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.

Heat kernel expansion: user's manual

D.V. Vassilevich;D.V. Vassilevich.

Physics Reports **(2003)**

1039 Citations

Heat kernel expansion: user's manual

D.V. Vassilevich;D.V. Vassilevich.

Physics Reports **(2003)**

1039 Citations

Dilaton gravity in two-dimensions

D. Grumiller;W. Kummer;D.V. Vassilevich;D.V. Vassilevich.

Physics Reports **(2002)**

528 Citations

Dilaton gravity in two-dimensions

D. Grumiller;W. Kummer;D.V. Vassilevich;D.V. Vassilevich.

Physics Reports **(2002)**

528 Citations

Finite-temperature Casimir effect for graphene

Ignat V. Fialkovsky;Ignat V. Fialkovsky;Valery N. Marachevsky;Dmitri V. Vassilevich;Dmitri V. Vassilevich.

Physical Review B **(2011)**

219 Citations

Finite-temperature Casimir effect for graphene

Ignat V. Fialkovsky;Ignat V. Fialkovsky;Valery N. Marachevsky;Dmitri V. Vassilevich;Dmitri V. Vassilevich.

Physical Review B **(2011)**

219 Citations

Casimir interaction between a perfect conductor and graphene described by the Dirac model

Michael Bordag;i Fialkovsky;i Fialkovsky;Dmitri Maximovitch Gitman;D Vassilevich;D Vassilevich.

Physical Review B **(2009)**

210 Citations

Casimir interaction between a perfect conductor and graphene described by the Dirac model

Michael Bordag;i Fialkovsky;i Fialkovsky;Dmitri Maximovitch Gitman;D Vassilevich;D Vassilevich.

Physical Review B **(2009)**

210 Citations

Ground state energy for a penetrable sphere and for a dielectric ball

M. Bordag;K. Kirsten;D. Vassilevich.

Physical Review D **(1999)**

171 Citations

Ground state energy for a penetrable sphere and for a dielectric ball

M. Bordag;K. Kirsten;D. Vassilevich.

Physical Review D **(1999)**

171 Citations

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