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Simulik, V. M.

Co-Author Distance
Author ID: simulik.v-m Recent zbMATH articles by "Simulik, V. M."
Published as: Simulik, V. M.
Documents Indexed: 28 Publications since 1985, including 1 Book and 8 Additional arXiv Preprints
Co-Authors: 6 Co-Authors with 20 Joint Publications
12 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
19 Krivsky, I. Yu.
5 Lamer, I. L.
3 Zajac, T. M.
1 Gordievich, I. O.
1 Lompay, Robert R.
1 Vyikon, I. I.
all top 5

Serials

5 Advances in Applied Clifford Algebras
2 Theoretical and Mathematical Physics
2 Ukraïns’kyĭ Matematychnyĭ Zhurnal
2 Annales de la Fondation Louis de Broglie
2 TWMS Journal of Applied and Engineering Mathematics
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Carpathian Mathematical Publications
all top 5

Fields

19 Quantum theory (81-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Optics, electromagnetic theory (78-XX)
6 Partial differential equations (35-XX)
3 Group theory and generalizations (20-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Field theory and polynomials (12-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

18 Publications have been cited 56 times in 21 Documents Cited by ▼ Year ▼
Bosonic symmetries of the Dirac equation. Zbl 1242.81077
Simulik, V. M.; Krivsky, I. Yu.
9
2011
Bosonic symmetries of the massless Dirac equation. Zbl 0915.35092
Simulik, V. M.; Krivsky, I. Yu.
9
1998
Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra. Zbl 0879.15023
Krivsky, I. Yu.; Simulik, V. M.
7
1996
Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws. Zbl 1189.78007
Simulik, V. M.
5
1991
Application of the generalized Clifford-Dirac algebra to the proof of the Dirac equation Fermi-Bose duality. Zbl 1271.81073
Simulik, V. M.; Krivsky, I. Yu.; Lamer, I. L.
4
2013
Clifford algebra in classical electrodynamical hydrogen atom model. Zbl 0889.15025
Simulik, V. M.; Krivsky, I. Yu.
4
1997
Solutions of the Maxwell equations describing the spectrum of hydrogen. Zbl 0936.81057
Simulik, V. M.
3
1997
Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena. Zbl 1329.78035
Simulik, V. M.; Krivsky, I. Yu.
2
2002
Relationship between the Maxwell and Dirac equations: symmetries, quantization, models of atom. Zbl 1036.78005
Simulik, V. M.; Krivsky, I. Yu.
2
2002
The Dirac equation as the consequence of the quantum-mechanical spin \(1/2\) doublet model. Zbl 1271.81065
Krivsky, I. Yu.; Simulik, V. M.; Lamer, I. L.; Zajac, T. M.
2
2013
Lamb shift in classical electrodynamical models of the atom. Zbl 0996.81527
Simulik, V.; Krivsky, I.
2
2002
Symmetries of the complex Dirac-Kähler equation. Zbl 1178.81113
Krivsky, I. Yu.; Lompay, R. R.; Simulik, V. M.
2
2005
On the gamma matrix representations of \(\mathrm{SO}(8)\) and Clifford algebras. Zbl 1430.15015
Simulik, V. M.
2
2018
On the essence of slightly generalized Maxwell classical electrodynamics, Reply to: “Comment on the paper: ‘Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena’” by A. Gersten. Zbl 1329.78036
Simulik, V. M.; Krivsky, I. Yu.
1
2002
Fermionic symmetries of the Maxwell equations with gradient-like sources. Zbl 1054.81507
Simulik, V. M.; Krivsky, I. Yu.
1
1997
The principles of quantum electrodynamics in terms of field strengths. (Osnovy kvantovoj ehlektrodinamiki v terminakh napryazhennostej.) Zbl 0956.81505
Krivskij, I. Yu.; Simulik, V. M.
1
1992
On the representations of Clifford and \(\mathrm{SO}(1, 9)\) algebras for 8-component Dirac equation. Zbl 1527.15023
Simulik, V. M.; Vyikon, I. I.
1
2023
On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra. Zbl 1537.81126
Simulik, V. M.
1
2023
On the representations of Clifford and \(\mathrm{SO}(1, 9)\) algebras for 8-component Dirac equation. Zbl 1527.15023
Simulik, V. M.; Vyikon, I. I.
1
2023
On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra. Zbl 1537.81126
Simulik, V. M.
1
2023
On the gamma matrix representations of \(\mathrm{SO}(8)\) and Clifford algebras. Zbl 1430.15015
Simulik, V. M.
2
2018
Application of the generalized Clifford-Dirac algebra to the proof of the Dirac equation Fermi-Bose duality. Zbl 1271.81073
Simulik, V. M.; Krivsky, I. Yu.; Lamer, I. L.
4
2013
The Dirac equation as the consequence of the quantum-mechanical spin \(1/2\) doublet model. Zbl 1271.81065
Krivsky, I. Yu.; Simulik, V. M.; Lamer, I. L.; Zajac, T. M.
2
2013
Bosonic symmetries of the Dirac equation. Zbl 1242.81077
Simulik, V. M.; Krivsky, I. Yu.
9
2011
Symmetries of the complex Dirac-Kähler equation. Zbl 1178.81113
Krivsky, I. Yu.; Lompay, R. R.; Simulik, V. M.
2
2005
Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena. Zbl 1329.78035
Simulik, V. M.; Krivsky, I. Yu.
2
2002
Relationship between the Maxwell and Dirac equations: symmetries, quantization, models of atom. Zbl 1036.78005
Simulik, V. M.; Krivsky, I. Yu.
2
2002
Lamb shift in classical electrodynamical models of the atom. Zbl 0996.81527
Simulik, V.; Krivsky, I.
2
2002
On the essence of slightly generalized Maxwell classical electrodynamics, Reply to: “Comment on the paper: ‘Slightly generalized Maxwell classical electrodynamics can be applied to inneratomic phenomena’” by A. Gersten. Zbl 1329.78036
Simulik, V. M.; Krivsky, I. Yu.
1
2002
Bosonic symmetries of the massless Dirac equation. Zbl 0915.35092
Simulik, V. M.; Krivsky, I. Yu.
9
1998
Clifford algebra in classical electrodynamical hydrogen atom model. Zbl 0889.15025
Simulik, V. M.; Krivsky, I. Yu.
4
1997
Solutions of the Maxwell equations describing the spectrum of hydrogen. Zbl 0936.81057
Simulik, V. M.
3
1997
Fermionic symmetries of the Maxwell equations with gradient-like sources. Zbl 1054.81507
Simulik, V. M.; Krivsky, I. Yu.
1
1997
Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra. Zbl 0879.15023
Krivsky, I. Yu.; Simulik, V. M.
7
1996
The principles of quantum electrodynamics in terms of field strengths. (Osnovy kvantovoj ehlektrodinamiki v terminakh napryazhennostej.) Zbl 0956.81505
Krivskij, I. Yu.; Simulik, V. M.
1
1992
Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws. Zbl 1189.78007
Simulik, V. M.
5
1991
all cited Publications top 5 cited Publications
all top 5

Cited by 27 Authors

7 Simulik, V. M.
5 Krivsky, I. Yu.
2 Okniński, Andrzej
2 Schiller, Christoph
1 Campolattaro, Alfonso A.
1 Ha, Jinting
1 Huang, Qiunan
1 Kiessling, Michael Karl-Heinz
1 Lompay, Robert R.
1 Picard, Rainer H.
1 Polanco, Melvin Arias
1 Red’kov, Victor M.
1 Shpyrko, Serge
1 Silenko, Alexander J.
1 Spix, George J.
1 Tahvildar-Zadeh, A. Shadi
1 Tokarevskaya, Natalia G.
1 Trostorff, Sascha
1 Varlamov, Vadim V.
1 Vásquez, Manuel Beato
1 Vyikon, I. I.
1 Waurick, Marcus
1 Yu, Xuegang
1 Zajac, T. M.
1 Zhang, Huiqun
1 Zhang, Shuna
1 Zhao, Qiulan
all top 5

Cited in 14 Serials

8 Advances in Applied Clifford Algebras
1 International Journal of Modern Physics A
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 International Journal of Geometric Methods in Modern Physics
1 Nonlinear Phenomena in Complex Systems (Minsk)
1 Symmetry
1 Journal of Applied Analysis and Computation
1 Carpathian Mathematical Publications
all top 5

Cited in 14 Fields

17 Quantum theory (81-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Partial differential equations (35-XX)
3 Optics, electromagnetic theory (78-XX)
3 Relativity and gravitational theory (83-XX)
2 Group theory and generalizations (20-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year