97 citations · 156 across the 7 of their papers we have counts for
7 papers
On the Energy-Momentum and Spin Tensors in the Riemann-Cartan Space
Robert R. Lompay
General classical theories of material fields in an arbitrary Riemann-Cartan space are considered. For these theories, with the help of equations of balance, new non-trivially gene…
Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. II. Manifestly Generally Covariant Theories
Robert R. Lompay, Alexander N. Petrov
The present paper continues the work of the authors [arXiv:1306.6887 [gr-qc]]. Here, we study generally covariant metric-torsion theories of gravity presented more concretely, sett…
Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
Robert R. Lompay, Alexander N. Petrov
Arbitrary diffeomorphically invariant metric-torsion theories of gravity are considered. It is assumed that Lagrangians of such theories contain derivatives of field variables (ten…
Covariantized Noether identities and conservation laws for perturbations in metric theories of gravity
Alexander N. Petrov, Robert R. Lompay
A construction of conservation laws and conserved quantities for perturbations in arbitrary metric theories of gravity is developed. In an arbitrary field theory, with the use of i…
Operational Dynamic Modeling Transcending Quantum and Classical Mechanics
Denys I. Bondar, Renan Cabrera, Robert R. Lompay +2
We introduce a general and systematic theoretical framework for Operational Dynamic Modeling (ODM) by combining a kinematic description of a model with the evolution of the dynamic…
Quantum mechanics of a free particle from properties of the Dirac delta function
Denys I. Bondar, Robert R. Lompay, Wing-Ki Liu
Based on the assumption that the probability density of finding a free particle is independent of position, we infer the form of the eigenfunction for the free particle, $\bra{x} p…