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Determining SU (N) symmetry group generators
(Research gate, 2018)
SU(N) symmetry groups are useful in formulating gauge theories of elementary particle interactions
in quantum field theory. Gauge bosons and particle states are associated with the symmetry group
generators. The accuracy ...
SU (N) generator spectrum
(Research gate, 2018)
This paper provides an accurate mathematical method for determining SU(N) symmetry group generators in a general N-dimensional quantum state space. We identify the generators as well-defined quantum
state transition and ...
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 ...
Progressively accurate WKB approximations through factorization and successive boost transformations
(Research gate, 2015)
This paper develops a procedure for obtaining progressively improving approximate solutions
of the WKB (semiclassical ) model of the stationary Schroedinger equation through factorization and successive boost transformations ...
Quadrature fluctuation energy, effective Hamiltonians, quasi-particle modes and quantum phase transitions in the Rabi and Dicke models
(Research gate, 2017)
The main purpose of this article is to provide a simple physically motivated exact analytical procedure
for determining effective Rabi and Dicke Hamiltonians, which have so far posed serious challenges in
studies of ...
Composite Hermite and Anti-Hermite Polynomials
(Scientific Research Publishing, 2015)
The Weber-Hermite differential equation, obtained as the dimensionless form of the stationary
Schroedinger equation for a linear harmonic oscillator in quantum mechanics, has been expressed
in a generalized form through ...
Some new features of photon statistics in a fully quantized parametric amplification process
(Scientific Research Publishing, 2014)
An exact quantum treatment reveals that signal and idler photon number operators are not wellbehaved dynamical operators for studying photon statistics in parametric amplification/downconversion processes. Contrary to ...
Fundamental quantum noise in a fully quantized degenerate parametric amplification process
(Research gate, 2016)
An exact analytical solution of the time-dependent Schroedinger equation for a fully quantized
degenerate parametric amplification process generated by quantized multi-mode pump photons
provides a quantized multi-photon ...
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 ...