Roles of Hund's rule coupling in excitonic density-wave states
July 17, 2014
|
Physics
Strongly Correlated Electrons
Excitonic density-wave states realized by the quantum condensation of
electron-hole pairs (or excitons) are studied in the two-band Hubbard model
with Hund's rule coupling and the pair hopping term. Using the variational
cluster approximati...
In Quantum Computing Speedup Illusory?: The False Coin of "Counting
Function Evaluations"
July 16, 2014
Physics
Quantum Physics
By using a new way to encode Boolean functions in a reversible gate, an
algorithm is developed in quantum computing over Z_2, symbolized QC/2, (as
opposed to QC over C) that needs only one function evaluation to solve the
Grover Database Se...
A theory for the zeros of Riemann ζ and other L-functions
(updated)
July 16, 2014
|
Mathematics
Physics
Number Theory
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
In these lectures we first review the important properties of the Riemann
ζ-function that are necessary to understand the nature and importance of
the Riemann hypothesis (RH). In particular this first part describes the
analytic conti...
Trace cohomology revisited
July 15, 2014
|
Mathematics
Algebraic Geometry
Number Theory
Operator Algebras
Algebraic Geometry
Number Theory
Operator Algebras
We use a cohomology theory coming from the canonical trace on a C*-algebra of
the projective variety to prove an analog of the Riemann Hypothesis for the
Kuga-Sato varieties over finite fields....
Synchrotron radiation of vector bosons at relativistic colliders
July 9, 2014
Physics
High Energy Physics - Phenomenology
Magnetic fields produced in collisions of electrically charged particles at
relativistic energies are strong enough to affect the dynamics of the strong
interactions. In particular, it induces radiation of vector bosons by
relativistic ferm...
The missing proof of Paley's theorem about lacunary coefficients
July 6, 2014
Mathematics
Classical Analysis and ODEs
We modify the standard proof of Paley's theorem about lacunary coefficients
of functions in H1 to work without analytic factorization. This leads to the
first direct proof of the extension of Paley's theorem that we applied to the
former...
Local regularity of the Bergman projection on a class of pseudoconvex
domains of finite type
June 25, 2014
| | |
Mathematics
Complex Variables
Complex Variables
The purpose of this paper is to prove that if a pseudoconvex domains
Ω⊂Cn satisfies Bell-Ligocka's Condition R and admits a
``good" dilation, then the Bergman projection has local Lp-Sobolev and
H\"older estimates....
Renormalized Four Dimensional Quantum Yang-Mills Theory and Mass Gap
June 16, 2014
Mathematics
General Mathematics
A quantization procedure for the Yang-Mills equations for the Minkowski space
R1,3 is carried out in such a way that field maps satisfying
Wightman axioms of Constructive Quantum Field Theory can be obtained. Moreover,
by remo...
Jump relations for magnetrohydrodynamic shock waves in a dusty gas
atmosphere
June 7, 2014
|
Physics
High Energy Astrophysical Phenomena
High Energy Astrophysical Phenomena
In this article, we have derived Rankine-Hugoniot (RH) jump conditions across
a magnetohydrodynamic (MHD) shock front propagating in a dusty gas atmosphere.
The dusty gas atmosphere is assumed to be a mixture of a perfect gas and small
soli...
A system of polynomial equations related to the Jacobian Conjecture
June 3, 2014
| |
Mathematics
Algebraic Geometry
Commutative Algebra
We prove that the Jacobian conjecture is false if and only if there exists a
solution to a certain system of polynomial equations. We analyse the solution
set of this system. In particular we prove that it is zero dimensional....