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 Mathematical physics, Noncommutative geometry, Quantum mechanics, Minkowski space and Commutative property.
The concepts of his Mathematical physics study are interwoven with issues in Star product, Algebra representation, Lorentz transformation and Weyl algebra.
His research investigates the connection between Star product and topics such as Scalar field theory that intersect with problems in Hopf algebra and Scalar.
His research integrates issues of Theoretical physics and Spacetime in his study of Noncommutative geometry.
His studies in Minkowski space integrate themes in fields like Classical mechanics, Quantum gravity, Feynman diagram and Scale.
His research in Commutative property tackles topics such as Phase space which are related to areas like Pure mathematics and Basis.
His most cited work include:
- κ-Minkowski spacetime and the star product realizations (157 citations)
- Kappa-Minkowski space-time and the star product realizations (143 citations)
- Deformed oscillator algebras and QFT in κ-Minkowski spacetime (96 citations)
What are the main themes of his work throughout his whole career to date?
Stjepan Meljanac focuses on Mathematical physics, Noncommutative geometry, Minkowski space, Quantum mechanics and Pure mathematics.
The Mathematical physics study combines topics in areas such as Commutative property, Scalar field theory, Fock space and Filtered algebra.
The various areas that he examines in his Noncommutative geometry study include Hopf algebra, Spacetime, Lorentz transformation and Star product.
His Minkowski space study combines topics from a wide range of disciplines, such as Space, Quantum gravity, Differential calculus and Covariant transformation.
His study looks at the relationship between Quantum mechanics and topics such as Noncommutative quantum field theory, which overlap with Quantum spacetime.
Stjepan Meljanac interconnects Simple and Quantum in the investigation of issues within Pure mathematics.
He most often published in these fields:
- Mathematical physics (48.03%)
- Noncommutative geometry (40.16%)
- Minkowski space (22.05%)
What were the highlights of his more recent work (between 2014-2021)?
- Noncommutative geometry (40.16%)
- Twist (19.69%)
- Mathematical physics (48.03%)
In recent papers he was focusing on the following fields of study:
Stjepan Meljanac spends much of his time researching Noncommutative geometry, Twist, Mathematical physics, Lorentz transformation and Hopf algebra.
Stjepan Meljanac has included themes like Minkowski space, Phase space and Spacetime in his Noncommutative geometry study.
His Mathematical physics research includes elements of Commutative property, Scalar field theory and Abelian group.
His work investigates the relationship between Lorentz transformation and topics such as Lie algebra that intersect with problems in Statistics.
His research in Hopf algebra intersects with topics in Scalar field and Quasitriangular Hopf algebra.
His Star product study integrates concerns from other disciplines, such as Symmetry and Star.
Between 2014 and 2021, his most popular works were:
- Noncommutative Spaces and Poincaré Symmetry (45 citations)
- Toward the classification of differential calculi on κ-Minkowski space and related field theories (31 citations)
- Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories (29 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Algebra
- Quantum field theory
Stjepan Meljanac mostly deals with Noncommutative geometry, Mathematical physics, Minkowski space, Pure mathematics and Star product.
His Noncommutative geometry research is multidisciplinary, relying on both Lorentz covariance, Hermitian matrix, Lorentz transformation and Quantum mechanics.
His Lorentz transformation research is multidisciplinary, incorporating elements of Structure constants, Statistics and Tensor product.
He has researched Mathematical physics in several fields, including Commutative property, Spacetime and Scalar field theory.
Stjepan Meljanac combines subjects such as Lie algebra, Theoretical physics, Star and Plane wave with his study of Star product.
The study incorporates disciplines such as Hopf algebra, Differential calculus and Exterior derivative in addition to Differential algebra.
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