共查询到20条相似文献,搜索用时 31 毫秒
1.
Michel Planat 《International Journal of Theoretical Physics》2010,49(5):1044-1054
In quantum information context, the groups generated by Pauli spin matrices, and Dirac gamma matrices, are known as the single
qubit Pauli group ℘, and two-qubit Pauli group ℘2, respectively. It has been found (Socolovsky, Int. J. Theor. Phys. 43: 1941, 2004) that the CPT group of the Dirac equation is isomorphic to ℘. One introduces a two-qubit entangling orthogonal matrix S basically related to the CPT symmetry. With the aid of the two-qubit swap gate, the S matrix allows the generation of the three-qubit real Clifford group and, with the aid of the Toffoli gate, the Weyl group
W(E
8) is generated (Planat, Preprint , 2009). In this paper, one derives three-qubit entangling groups [(P)\tilde]\tilde{\mathcal{P}} and [(P)\tilde]2\tilde{\mathcal{P}}_{2}, isomorphic to the CPT group ℘ and to the Dirac group ℘2, that are embedded into W(E
8). One discovers a new class of pure three-qubit quantum states with no-vanishing concurrence and three-tangle that we name
CPT states. States of the GHZ and CPT families, and also chain-type states, encode the new representation of the Dirac group and its CPT subgroup. 相似文献
2.
The relationship between the diffusivity D
n
and the mobility μ
n
of chemically doped organic n-type semiconductors exhibiting a disordered band structure is presented. These semiconductors
have a Gaussian-type density of states. So, calculations have been performed to elucidate the dependence of D
n
/μ
n
on the various parameters of this Gaussian density of states. Y. Roichman and N. Tessler (Appl. Phys. Lett. 80:1948, 2002), and subsequently Peng et al. (Appl. Phys. A 86:225, 2007), conducted numerical simulations to study this diffusivity–mobility relationship in organic semiconductors. However, almost
all other previous studies of the diffusivity–mobility relationship for inorganic semiconductors are based on Fermi–Dirac
integrals. An analytical formulation has therefore been developed for the diffusivity/mobility relationship for organic semiconductors
based on Fermi–Dirac integrals. The D
n
/μ
n
relationship is general enough to be applicable to both non-degenerate and degenerate organic semiconductors. It may be an
important tool to study electrical transport in these semiconductors. 相似文献
3.
Clayton Bjorland 《Communications in Mathematical Physics》2011,305(1):131-151
In this article we consider the physical justification of the Vortex-Wave equation introduced by Marchioro and Pulvirenti
(Mechanics, analysis and geometry: 200 years after Lagrange, North-Holland Delta Ser., Amsterdam, North-Holland, pp. 79–95,
1991), in the case of a single point vortex moving in an ambient vorticity. We consider a sequence of solutions for the Euler
equation in the plane corresponding to initial data consisting of an ambient vorticity in L
1 ∩ L
∞ and a sequence of concentrated blobs which approach the Dirac distribution. We introduce a notion of a weak solution of the
Vortex-Wave equation in terms of velocity (or primitive variables) and then show, for a subsequence of the blobs, the solutions
of the Euler equation converge in velocity to a weak solution of the Vortex-Wave equation. 相似文献
4.
We study shock statistics in the scalar conservation law ∂
t
u+∂
x
f(u)=0, x∈ℝ, t>0, with a convex flux f and spatially random initial data. We show that the Markov property (in x) is preserved for a large class of random initial data (Markov processes with downward jumps and derivatives of Lévy processes
with downward jumps). The kinetics of shock clustering is then described completely by an evolution equation for the generator
of the Markov process u(x,t), x∈ℝ. We present four distinct derivations for this evolution equation, and show that it takes the form of a Lax pair. The Lax
equation admits a spectral parameter as in Manakov (Funct. Anal. Appl. 10:328–329, 1976), and has remarkable exact solutions for Burgers equation (f(u)=u
2/2). This suggests the kinetic equations of shock clustering are completely integrable. 相似文献
5.
Ian-Woo Kim 《Pramana》2004,62(3):729-731
We present the relation of the 4-dimensional low energy gauge coupling and the 5-dimensional fundamental gauge coupling of
bulk gauge boson in a slice of AdS5, which is orbifolded byZ
2 ×Z′2. We calculate the full 1-loop corrections for the case of generic 5-dimensional scalar, Dirac fermion, and vector fields
with arbitraryZ
2×Z′2. For the supersymmetric case, we obtain the result more easily by using the 4-dimensional effective supergravity approach. 相似文献
6.
Adisorn Adulpravitchai Manfred Lindner Alexander Merle Rabindra N. Mohapatra 《Physics letters. [Part B]》2009,680(5):476-479
We discuss a one loop model for neutrino masses which leads to a seesaw-like formula with the difference that the charged lepton masses replace the unknown Dirac mass matrix present in the usual seesaw case. This is a considerable reduction of parameters in the neutrino sector and predicts a strong hierarchical pattern in the right handed neutrino mass matrix that is easily derived from a U(1)H family symmetry. The model is based on the left–right gauge group with an additional Z4 discrete symmetry which gives vanishing neutrino Dirac masses and finite Majorana masses arising at the one loop level. Furthermore, it is one of the few models that naturally allow for large (but not necessarily maximal) mixing angles in the lepton sector. A generalization of the model to the quark sector requires three iso-spin singlet vector-like down type quarks, as in E6. The model predicts an inert doublet type scalar dark matter. 相似文献
7.
We begin with a review and analytical construction of quantum Gaussian process (and quantum Brownian motions) in the sense
of Franz (The Theory of Quantum Levy Processes, [math.PR], 2009), Schürmann (White noise on bioalgebras. Volume 1544 of Lecture Notes in Mathematics. Berlin: Springer-Verlag, 1993) and others, and then formulate and study in details (with a number of interesting examples) a definition of quantum Brownian
motions on those non-commutative manifolds (a la Connes) which are quantum homogeneous spaces of their quantum isometry groups
in the sense of Goswami (Commun Math Phys 285(1):141–160, 2009). We prove that bi-invariant quantum Brownian motion can be ‘deformed’ in a suitable sense. Moreover, we propose a non-commutative
analogue of the well-known asymptotics of the exit time of classical Brownian motion. We explicitly analyze such asymptotics
for a specific example on non-commutative two-torus Aq{\mathcal{A}_\theta} , which seems to behave like a one-dimensional manifold, perhaps reminiscent of the fact that Aq{\mathcal{A}_\theta} is a non-commutative model of the (locally one-dimensional) ‘leaf-space’ of the Kronecker foliation. 相似文献
8.
Tuyen Trung Truong 《Mathematical Physics, Analysis and Geometry》2009,12(2):157-180
We determine the degree complexity for all elements of a family k
F
of birational maps which was introduced and studied in Bedford et al. (Math Phys Anal Geom 11:53–71, 2008).
相似文献
9.
Mubasher Jamil K. Karami A. Sheykhi E. Kazemi Z. Azarmi 《International Journal of Theoretical Physics》2012,51(2):604-611
Motivated by the recent works of one of us (Karami and Fehri, Int. J. Theor. Phys. 49:1118, 2010; Phys. Lett. B 684:61, 2010), we study the holographic dark energy in Brans-Dicke gravity with the Granda-Oliveros cut-off proposed recently in literature.
We find out that when the present model is combined with Brans-Dicke field the transition from normal state where w
D
>−1 to the phantom regime where w
D
<−1 for the equation of state of dark energy can be more easily achieved for than when resort to the Einstein field equations
is made. Furthermore, the phantom crossing is more easily achieved when the matter and the holographic dark energy undergo
an exotic interaction. We also calculate some relevant cosmological parameters and their evolution. 相似文献
10.
Yaacov Kopeliovich 《Letters in Mathematical Physics》2010,94(3):313-333
Let X be a general cyclic cover of
\mathbbCP1{\mathbb{CP}^{1}} ramified at m points, λ1... λ
m
. we define a class of non-positive divisors on X of degree g −1 supported in the pre images of the branch points on X, such that the Riemann theta function does not vanish on their image in J(X). We generalize the results of Bershadsky and Radul (Commun Math Phys 116:689–700, 1988), Nakayashiki (Publ Res Inst Math Sci 33(6):987–1015, 1997) and Enolskii and Grava (Lett Math Phys 76(2–3):187–214, 2006) and prove that up to a certain determinant of the non-standard periods of X, the value of the Riemann theta function at these divisors raised to a high enough power is a polynomial in the branch point
of the curve X. Our approach is based on a refinement of Accola’s results for 3 cyclic sheeted cover (Accola, in Trans Am Math Soc 283:423–449,
1984) and a generalization of Nakayashiki’s approach explained in Nakayashiki (Publ Res Inst Math Sci 33(6):987–1015, 1997) for general cyclic covers. 相似文献
11.
Dmitry Panchenko 《Journal of statistical physics》2008,130(5):831-842
In Talagrand (J. Stat. Phys. 126(4–5):837–894, 2007) the large deviations limit
for the moments of the partition function Z
N
in the Sherrington-Kirkpatrick model (Sherrington and Kirkpatrick in Phys. Rev. Lett. 35:1792–1796, 1972) was computed for all real a≥0. For a≥1 this result extends the classical physicist’s replica method that corresponds to integer values of a. We give a new proof for a≥1 in the case of the pure p-spin SK model that provides a strong exponential control of the overlap.
This work is partially supported by NSF grant. 相似文献
12.
Murray Muraskin 《International Journal of Theoretical Physics》1970,3(1):33-39
We discuss tensor representations of the Dirac equation using a geometric approach. We find that the mass zero Dirac equations can be represented by Maxwell equations having a source which obeys the empty space wave equation. We also obtain a relation for the source in terms ofE andH. In the case of mass not equal to zero a difficulty is encountered in removing the constant spinors¯
Aand¯
A.We find that the arbitrary constant spinors can be eliminated in a spinor theory based on the Klein-Gordon equation. 相似文献
13.
Davood Momeni 《International Journal of Theoretical Physics》2011,50(5):1493-1514
Hořava proposed a non-relativistic renormalizable theory of gravitation, which is reduced to general relativity (GR) in large
distances (infra-red regime (IR)). It is believed that this theory is an ultra-violet (UV) completion for the classical theory
of gravitation. In this paper, after a brief review of some fundamental features of this theory, we investigate it for a static
cylindrical symmetric solution which describes Cosmic string as a special case. We have also investigated some possible solutions, and have seen that how the classical GR field equations
are modified for generic potential V(g). In one case there is an algebraic constraint on the values of three coupling constants. Finally as a pioneering work we
deduce the most general cosmic string in this theory. We explicitly show that how the coupling constants distort the mass parameter of cosmic string. We deduce an explicit function for mass per unit length of the space-time as a function of the coupling constants. We compare this function with another which Aryal et al. (Phys. Rev. D 34:2263, 1986) have found in GR. Also we calculate the self-force on a massive particle near Hořava-Lifshitz straight string and we give
a typical order for the coupling constant
g
9. This order of magnitude proposes a cosmological test for validity of this theory. 相似文献
14.
A. A. Ivanov 《Communications in Mathematical Physics》2011,307(1):1-16
The Majorana representations of groups were introduced in Ivanov (The Monster Group and Majorana Involutions, 2009) by axiomatising some properties of the 2A-axial vectors of the 196 884-dimensional Monster algebra, inspired by the sensational classification of such representations
for the dihedral groups achieved by Sakuma (Int Math Res Notes, 2007). This classification took place in the heart of the theory of Vertex Operator Algebras and expanded earlier results by Miyamoto
(J Alg 268:653–671, 2003). Every subgroup G of the Monster which is generated by its intersection with the conjugacy class of 2A-involutions possesses the (possibly unfaithful) Majorana representation obtained by restricting to G the action of the Monster on its algebra. This representation of G is said to be based on an embedding of G in the Monster. So far the Majorana representations have been classified for the groups G isomorphic to the symmetric group S
4 of degree 4 (Ivanov et al. in J Alg 324:2432–2463, 2010), the alternating group A
5 of degree 5 (Ivanov AA, Seress á in Majorana Representations of A
5, 2010), and the general linear group GL
3(2) in dimension 3 over the field of two elements (Ivanov AA, Shpectorov S in Majorana Representations of L
3(2), 2010). All these representations are based on embeddings in the Monster of either the group G itself or of its direct product with a cyclic group of order 2. The dimensions and shapes of these representations are given
in the following table: 相似文献
15.
E. Ryckman 《Journal of statistical physics》2008,132(3):473-486
For arbitrary β>0, we use the orthogonal polynomials techniques developed in (Killip and Nenciu in , 2005; Killip and Nenciu in Int. Math. Res. Not. 50: 2665–2701, 2004) to study certain linear statistics associated with the circular and Jacobi β ensembles. We identify the distribution of these statistics then prove a joint central limit theorem. In the circular case,
similar statements have been proved using different methods by a number of authors. In the Jacobi case these results are new. 相似文献
16.
We use the Clifford algebra technique (J. Math. Phys. 43:5782, 2002; J. Math. Phys. 44:4817, 2003), that is nilpotents and projectors which are binomials of the Clifford algebra objects γ
a
with the property {γ
a
,γ
b
}+=2η
ab
, for representing quantum gates and quantum algorithms needed in quantum computers in a simple and an elegant way. We identify
n-qubits with the spinor representations of the group SO(1,3) for a system of n spinors. Representations are expressed in terms of products of projectors and nilpotents; we pay attention also on the nonrelativistic
limit. An algorithm for extracting a particular information out of a general superposition of 2
n
qubit states is presented. It reproduces for a particular choice of the initial state the Grover’s algorithm (Proc. 28th
Annual ACM Symp. Theory Comput. 212, 1996). 相似文献
17.
We report on some implications of the theory of turbulence developed by V. Yakhot (Phys. Rev. E 57(2):1737, 1998). In particular we focus on the expression for the scaling exponents ζ
n
. We show that Yakhot’s result contains three well known scaling models as special cases, namely K41, K62 and the theory by
V. L’vov and I. Procaccia (Phys. Rev. E 62(6):8037, 2000). The model furthermore yields a theoretical justification for the method of extended self-similarity (ESS). 相似文献
18.
Johannes Blümlein Dieter Robaschik Bodo Geyer 《The European Physical Journal C - Particles and Fields》2009,61(2):279-298
The quantum field theoretic treatment of inclusive deep-inelastic diffractive scattering given in a previous paper (Blümlein
et al. in Nucl. Phys. B 755:112–136, 2006) is discussed in detail using an equivalent formulation with the aim to derive a representation suitable for data analysis.
We consider the off-cone twist-2 light-cone operators to derive the target-mass and finite t corrections to diffractive deep-inelastic scattering and deep-inelastic scattering. The corrections turn out to be at most
proportional to x|t|/Q
2, xM
2/Q
2, x=x
BJ or x
ℙ, which suggests an expansion in these parameters. Their contribution varies in size considering diffractive scattering or
meson-exchange processes. Relations between different kinematic amplitudes which are determined by one and the same diffractive
GPD or its moments are derived. In the limit t,M
2→0 one obtains the results of (Blümlein and Robaschik in Phys. Lett. B 517:222, 2001) and (Blümlein and Robaschik in Phys. Rev. D 65:096002, 2002). 相似文献
19.
Neutrinos with magnetic moment experience chirality flips while scattering off charged particles. It is known that if neutrino
is a Dirac fermion, then such chirality flips lead to the production of sterile right-handed neutrinos inside the core of
a star during the stellar collapse, which may facilitate the supernova explosion and modify the supernova neutrino signal.
In the present paper we reexamine the production of right-handed neutrinos during the collapse using a dynamical model of
the collapse. We refine the estimates of the values of the Dirac magnetic moment which are necessary to substantially alter
the supernova dynamics and neutrno signal. It is argued in particular that Super-Kamiokande will be sensitive at least to
μ
ν Dirac = 10−13μB in case of a galactic supernova explosion. Also we briefly discuss the case of Majorana neutrino magnetic moment. It is pointed
out that in the inner supernova core spin flips may quickly equilibrate electron neutrinos with nonelectron antineutrinos
if μ
ν Majorana ≳ 10−12μB. This may lead to various consequences for supernova physics. 相似文献
20.
S. Marcos M. López-Quelle R. Niembro L. N. Savushkin 《The European Physical Journal A - Hadrons and Nuclei》2007,34(4):429-441
In the phenomenological relativistic framework of the Dirac equation for spherical nuclei, we use different kinds of single-particle
central potentials ( ΣS + Σ0 to investigate certain aspects of the spin and pseudospin (PS) symmetries. Neither the splitting of PS doublets (PSDs) nor
the similarity of the radial parts of the small components (F/r of the corresponding Dirac spinors have been found related with the magnitude of ΣS + Σ0 , in the sense predicted by several authors in the last decade. This conclusion is shown to be valid, in particular, for
a potential of Coulomb type. We give a simple explanation for the strong correlation established in the relativistic calculations
between the similarity of the radial parts of the big (small) components of the Dirac spinors of two spin (pseudospin) partners
and the number of their nodes. The direct effects of the so-called PS symmetry-breaking term (and its singularity point) on
the F functions of the PSDs are also analysed. 相似文献