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A note on momentum and energy conservation in dynamics under arbitrary forces in classical Newtonian and relativistic mechanics
(Research gate, 2018)
In teaching mechanics course to first year undergraduate students, I have come across a simple, but very important, gap in the formulation of the principle of conservation of momentum and energy in the dynamics of a body ...
Complex Spacetime Frame: Four-Vector Identities and Tensors
(Scientific Research Publishing, 2014)
This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis.
The resulting four-vector identities ...
Exact analytical solutions for fully quantized parametric oscillation dynamics
(Routledge, 2013)
In this paper, a simple method for obtaining general analytical solutions of the time evolution equations for a fully quantized parametric oscillation process is developed. Heisenberg’s equations for the signal–idler photon ...
Polariton and anti-polariton qubits in the Rabi model
(Research gate, 2017)
This paper presents a precise algebraic and physical framework for studying the dynamics and practical
applications of the quantum Rabi model. We redefine the quantum Rabi interaction in terms of polariton
and anti-polariton ...
Conserved excitation number and U(1)-symmetry operators for the anti-rotating (anti-Jaynes-Cummings) term of the Rabi Hamiltonian
(Research gate, 2017)
+ hω0sz+ hg (ˆa+ ˆa†)(s++ s−)(1a) where ω, ˆa, ˆa† are the quantized field mode angular frequency, annihilation and creation operators, while ω0, sz, s+, s− are the atomic state transition angular frequency and operators. ...