442 research outputs found
The Quaternionic Quantum Mechanics
A quaternionic wavefunction consisting of real and scalar functions is found
to satisfy the quaternionic momentum eigenvalue equation. Each of these
components are found to satisfy a generalized wave equation of the form
. This reduces to the massless Klein-Gordon
equation, if we replace . For a plane wave solution the angular frequency is
complex and is given by ,
where is the propagation constant vector. This equation is in
agreement with the Einstein energy-momentum formula. The spin of the particle
is obtained from the interaction of the particle with the photon field.Comment: 13 Latex pages, no figure
The Equivalence between Different Dark (Matter) Energy Scenarios
We have shown that the phenomenological models with a cosmological constant
of the type and , where
is the scale factor of the universe and is the Hubble constant, are
equivalent to a quintessence model with a scalar () potential of the form
= constant. The equation of state of the cosmic fluid
is described by these parameters () only. The equation of
state of the cosmic fluid (dark energy) can be determined by any of these
parameters. The actual amount of dark energy will define the equation of state
of the cosmic fluid. All of the three forms can give rise to cosmic
acceleration depending the amount of dark energy in the universe
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