23 citations
- AGH University of KrakowPL6 papers
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- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT4 papers
- Eastern Mediterranean UniversityCY3 papers
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- Kryvyi Rih State Pedagogical UniversityUA2 papers
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math-ph2011★ 13 cited
The path integral representation kernel of evolution operator in Merton-Garman model
L. F. Blazhyevskyi, V. S. Yanishevsky
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed. Based on this kernel option formula is obtained, which generalizes…
math-ph2009★ 8 cited
The Electromagnetic Lorentz Condition Problem and Symplectic Properties of Maxwell and Yang-Mills Type Dynamical Systems
N. N. Bogolubov, A. K. Prykarpatsky, U. Taneri +1
Symplectic structures associated to connection forms on certain types of principal fiber bundles are constructed via analysis of reduced geometric structures on fibered manifolds i…
math-ph2009★ 13 cited
The Relativistic Electrodynamics Least Action Principles Revisited: New Charged Point Particle and Hadronic String Models Analysis
N. N. Bogolubov, A. K. Prykarpatsky, U. Taneri
The classical relativistic least action principle is revisited from the vacuum field theory approach. New physically motivated versions of relativistic Lorentz type forces are deri…