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Quantum
Operator Approach to Unruh's and Afshar's Setups
--
Danko Dimchev Georgiev
This
paper gives a complete mathematical proof of non-existent
which way information in both Unruh's and Afshar's setups,
written only with the use of quantum operators. The proof
is equivalent to a proof published previously in Georgiev
(2007a and 2007b).
©
2008 IUP . All Rights Reserved.
Group
Theory, Three Vectors and Maxwell-Lorentz Matrix
--
David Pendleton J, López-Bonilla J and Sosa-Caraveo
C
Lorentz
invariance of Maxwell electromagnetic equations is demonstrated
in two complementary ways: first, we give a pedestrian review
with three-vector equations, and we then express Maxwell equations
in a four-vector matrix form (the Maxwell-Lorentz matrix)
which demonstrates the intimate connection of Maxwell equations
with the Lorentz group. Each Maxwell-Lorentz matrix component
is the product of three matrices: a derivative matrix, a 4
x 4 Lorentz group generator matrix, and an electromagnetic
field matrix. We obtain rotary Lorentz transformations of
the electromagnetic field matrix from Lorentz equation matrices.
We then transform the derivative and electromagnetic matrices
and obtain an explicit matrix demonstration of Lorentz invariance
of Maxwell equations. To obtain this result, we express all
transformation matrices in exponential form to facilitate
the application of simple Lorentz group algebra. The pedestrian
approach illustrates what the Lorentz group matrix approach
actually accomplishes and helps one to gain some appreciation
of group theory methods.
©
2008 IUP . All Rights Reserved.
The
Solution of Three Coupled Scalar Fields
-- Sadeghi J and Imani A
In
this paper an exact approach for the solution of three coupled
scalar fields is proposed. By using the orbit approach we
have found the solutions for three fields. We also consider
some examples and draw f(x), c(x) and r(x) with a choice of
different parameters.
©
2008 IUP . All Rights Reserved.
A
Survey of Lanczos Potential
-- César
Mora and Rubén Sánchez
We
give a short survey of the properties of Lanczos potential,
and we mention how this potential is relevant for the derivation
of the Weyl curvature tensor; we give some useful examples
that have been already computed elsewhere.
©
2008 IUP . All Rights Reserved.
Equality
and Identity and (In)distinguishability in
Classical and Quantum Mechanics from the Point of View of
Newton's Notion of State
-- Peter
Enders
The
notion of state is a central notion in all branches of physics.
Surprisingly enough, Newton's notion differs from the nowadays
notion. This review of the benefits of Newton's notion comprises
Gibbs's paradox, Einstein's derivation of the classical and
quantum distribution laws from the energetic spectrum (serving
to remove anthropomorphic elements), the difference between
`identical' and `indistinguishable' (being a property of states
rather than of particles), a new physical content of |y(x,
t)|(the invariance of |y(x, t)|rather than y(x, t) against
permutations yielding not only fermions and bosons, but also
anyons), and a novel classification of (force) fields (being
related to gauge invariance and leading eventually to a foundation
of the microscopic Maxwell equations).
©
2008 IUP . All Rights Reserved.
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