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1.
C. Chris Wu 《Journal of statistical physics》1996,88(5-6):1399-1408
We consider an inhomogeneous contact process on a tree
of degreek, where the infection rate at any site isλ, the death rate at any site in
isδ (with 0 <δ ⩽ 1) and that at any site in
is 1. Denote by
the critical value for thehomogeneous model (i.e.,δ=1) on
and byϑ(δ, λ) the survival probability of the inhomogeneous model on
. We prove that whenk > 4, if
, a subtree embedded in
, with 1 ⩽σ ⩽ √k, then three existsδ
c
σ
strictly between (
) and 1 such that (
) whenδ >δ
c
σ
andϑ(δ, λ
c(
) > 0 whenδ <δ
c
σ
; ifS={o}, the origin of
, then
for anyδ ε (0, 1). 相似文献
2.
Carl M. Bender 《Czechoslovak Journal of Physics》2006,56(9):1047-1062
In this paper, two independent methods are used to show that the non-Hermitian
-symmetric wrong-sign quartic Hamiltonian H = (1/2m)p
2 − gx
4 is exactly equivalent to the conventional Hermitian Hamiltonian
. First, this equivalence is demonstrated by using elementary differential-equation techniques and second, it is demonstrated
by using functional-integration methods. As the linear term in the Hermitian Hamiltonian
is proportional to ℏ, this term is anomalous; that is, the linear term in the potential has no classical analog. The anomaly
is a consequence of the broken parity symmetry of the original non-Hermitian
-symmetric Hamiltonian. The anomaly term in
remains unchanged if an x
2 term is introduced into H. When such a quadratic term is present in H, this Hamiltonian possesses bound states. The corresponding bound states in
are a direct physical measure of the anomaly. If there were no anomaly term, there would be no bound states. 相似文献
3.
We construct induced infinite-dimensional representations of the two-parameter quantum algebraUg,h(gl(2)) which is in duality with the deformationGLg,h(2). The representations depend on two representation parameters, but split into one-parameter representations of a one-generator
central subalgebra and the three-generator Jordanian quantum subalgebraU
(sl(2)),
=g + h. The representations of the latter can be mapped to representations in one complex variable, which give anew deformation of the standard one-parameter vector-field realization ofsl(2). These infinite-dimensional representations are reducible for some values of the representation parameters, and then we
obtain canonically the finite-dimensional representations ofU
(sl(2)).
Presented at the 10th International Colloquium on Quantum Groups: “Quantum Groups and Integrable Systems”, Prague, 21–23 June
2001.
Permanent address of V.K.D. 相似文献
4.
Ersan Demiralp 《Czechoslovak Journal of Physics》2005,55(9):1081-1084
We have investigated bound state solutions of the Schrodinger equation for one-dimensional harmonic oscillator potential together
with even number of Dirac delta functions. These point interactions are located at symmetric points x = x
i
and x = −x
i
(i = 1, 2,..., N) and they have complex conjugate strengths
and
, respectively. We present explicit forms of eigenfunctions and an algebraic eigenvalue equation and numerical solutions for
this
-symmetric Hamiltonian.
Presented at the 3rd International Workshop “Pseudo-Hermitian Hamiltonians in Quantum Physics”, Istanbul, Turkey, June 20–22,
2005. 相似文献
5.
Enrico Massa 《General Relativity and Gravitation》1974,5(5):555-572
A pair (M, Γ) is defined as a Riemannian manifold M of normal hyperbolic type carrying a distinguished time-like congruence
Γ. The spatial tensor algebraD associated with the pair (M, Γ) is discussed. A general definition of the concept of spatial tensor analysis over (M, Γ)
is then proposed. Basically, this includes a spatial covariant differentiation
and a time-derivative
, both acting onD and commuting with the process of raising and lowering the tensor indices. The torsion tensor fields of the pair
are discussed, as well as the corresponding structural equations. The existence of a distinguished spatial tensor analysis
over (M, Γ) is finally established, and the resulting mathematical structure is examined in detail.
This work was assisted by funds from the C.N.R. under the aegis of the activity of the National Group for Mathematical Physics. 相似文献
6.
Garry Ludwig 《General Relativity and Gravitation》1983,15(11):1085-1097
In a recent paper it was shown how to construct, under certain circumstances, asymptotic (Newman-Unti) series expansions for
the spin-coefficient variables for real space-times from data obtained from a given left-flat space in an appropriate frame.
If these expansions represent asymptotically flat space-times the latter have the given left-flat space as their H space.
The method was described in a frame in which the asymptotic left-shear
was zero whereas
was not. For the discussion of algebraically special left-flat spaces it is more convenient to have
vanish and
remain nonzero. In this paper we determine all algebraically special left-flat spaces with diverging rays, utilizing Penrose's
conformal technique, and then show in detail how to find the “initial data” for the construction of asymptotic series expansions
for the corresponding real space-times. 相似文献
7.
Ola Bratteli 《Letters in Mathematical Physics》1982,6(6):499-504
Let δ be a quasi-free derivation of the CAR algebra, and let
be a closed *-derivation which is an extension of δ. We use Price's techniques from [6] to show that if the polynomials in
the linear field operators a(f)→a
*
(f) in D(
) is a core for
, then
is quasi-free. 相似文献
8.
Itzhak Goldman 《International Journal of Theoretical Physics》1982,21(8-9):665-672
Dirac’s large number hypothesis (LNH), in the formG/G
0=HH
0
−1
, is applied to the matter-dominated cosmological era, using the framework of the scale covariant theory (Canuto et al., 1977).
We obtain explicit expressions forR andβ
a
as functions ofR
E
, whereR andR
E
are the scale factors of the cosmological Robertson-Walker metric, expressed in atomic and gravitational units, respectively,
andβ
a
is the ratio between the rates of gravitational and atomic clocks. The parameters in these expressions are
, the deceleration parameter in gravitational units, and
(t
0)H
0
−1
where
(t
0) is the present epoch value of the derivative ofβ
a
with respect to atomic time. We find that a necessary condition for the LNH to be compatible with a Robertson-Walker model
is that
(t
0)H
0
−1
≥
2
1
. The only experimental values for
(t
0) available at present are those based on the lengthening of the Moon’s period of revolution around the Earth, suggesting
0.86≥
(t
0)H
0
−1
≥0.21; the more promising technique of radar ranging to the inner planets has not yet produced a value for
(t
0). Using the lunar data, it follows that 0≤
≲0.42 corresponding to an open universe (k=−1). Closed models (k=1,
>1/2) are not compatible with the LNH since the required values of
(t
0)H
0
−1
are more than an order of magnitude above the observational upper limit.
Presented at the Dirac Symposium, Loyola University, New Orleans, 1981. 相似文献
9.
Summary Grain growth is studied in polycrystalline ice, consisting of elongated grains, of (200÷300) μm mean width
and (2÷3) mm mean length
. The samples are annealed at different temperatures, between 0°C and −10°C. It is found that
is not affected by annealing, while
increases with the annealing time. Below the melting point,
(t) tends to a limit value
. This behaviour is related to the pinning action of air bubbles, which would be similar to that found for solid inclusions
in metals. By assuming
where
is the mean bubble diameter andf is the volume fraction of air dissolved in water, reasonable values are found for
. The activation energy of the phenomenon is evaluated on the basis of the present and of Jellinek and Gouda's results. It
is foundQ=0.6 eV, which value approximately coincides with that for bulk self-diffusion as it occurs for metals, several degrees below
the melting point. This coincidence suggests that, for ice, grain growth would be controlled by bulk impurity diffusion up
to the very melting point.
Instituto de Matemática, Astronomía y Física, Universidad Nacional de Córdoba and CONICET. 相似文献
10.
The maximum number of non-vanishing and independent second order photoelastic coefficients required by the seven pentagonal
and the two icosahedral point groups 5(C5),
(S10),
(C5h
),
m2(D5h
), 52(D5), 5m(C5v
),
2m(D5d
); 235(I), 2/m
(I
h
)—that describe the quasicrystals symmetry groups in two and three dimensions—is obtained. The schemes of non-vanishing and
independent coefficients have been calculated and listed. Finally the results of this group-theoretical study are briefly
discussed. 相似文献
11.
A. Bartl W. Majerotto B. Mösslacher N. Oshimo 《Zeitschrift fur Physik C Particles and Fields》1991,52(4):677-684
We present a detailed study of
and
and the subsequent decays of
,
, and
at the LHC
. We explore the relevant supersymmetry parameter range. We calculate the cross sections as well as the rates for interesting signatures such as the production of one or two leptons on the lepton side. 相似文献
12.
Enrico Massa 《General Relativity and Gravitation》1974,5(5):573-591
The general theory of space tensors is applied to the study of a space-time manifoldsV
4 carrying a distinguished time-like congruence Γ. The problem is to determine a physically relevant spatial tensor analysis
over (V
4, Γ), in order to proceed to a correct formulation of Relative Kinematics and Dynamics.
This is achieved by showing that each choice of
gives rise to a corresponding notion of ‘frame of reference’ associated with the congruence Γ. In particular, the frame of
reference (Γ, ∇*) determined by the standard spatial tensor analysis
is shown to provide the most natural generalization of the concept of frame of reference in Classical Physics.
The previous arguments are finally applied to the study of geodesic motion inV
4. As a result, the general structure of the gravitational fields in the frame of reference (Γ, ∇*) is established.
This work was assisted by funds from the C.N.R. under the aegis of the activity of the National Group for Mathematical Physics. 相似文献
13.
Lucy Gow 《Czechoslovak Journal of Physics》2005,55(11):1415-1420
Jonathan Brundan and Alexander Kleshchev recently introduced a new family of presentations for the Yangian Y
of the general linear Lie algebra
. In this article, we extend some of their ideas to consider the Yangian Y
of the Lie superalgebra
. In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
14.
KN sigma commutator has been calculated in the framework of the (6,
)+(
, 6) model. It is found that though this model could not be discarded in favour of the (3,
)+(
, 3) or (8, 8) model, a very large value forKN sigma term is required to get a positive value ofπN sigma term. 相似文献
15.
D. H. D. West V. J. McBrierty C. F. G. Delaney 《Applied Physics A: Materials Science & Processing》1975,7(3):171-174
The decay time τl ofo-Ps by the electron pickoff process has been measured in polystyrene as a function of molecular weight. For samples below
their glass transition temperature τl is essentially independent of
. In the low molecular weight region,
, τl increased with decreasing
in line with earlier theoretical predictions. The overall behaviour reflects closely the dependence of free volume on
. The effects of molecular motion on τl are examined and it is concluded that the decay time is insensitive to such motions in polystyrene below the melting point,
in contrast to what is observed in polytetrafluoroethylene. 相似文献
16.
Explicit evaluation of the following parameters has been carried out in the extraU (1) superstring inspired model: (i) As Mz2 varies from 555 GeV to 620 GeV and (m
t) CDF = 175.6 ± 5.7 GeV (Table 1): (a) SNew varies from -0.100 ± 0.089 to -0.130 ± 0.090, (b) TNew varies from -0.098 ± 0.097 to -0.129 ± 0.098, (c) UNew varies from -0.229 ± 0.177 to -0.253 ± 0.206, (d) Τz varies from 2.487 ± 0.027 to 2.486 ± 0.027, (e) ALR varies from 0.0125 ± 0.0003 to 0.0126 ± 0.0003, (f) A
FB
b
remains constant at 0.0080 ± 0.0007. Almost identical values are obtained for (m
t)D0 = 169 GeV (see table 2). (ii) Triple gauge boson vertices (TGV) contributions: AsMz
2 varies from 555 GeV to 620 GeV and (m
t) CDF = 175.6 ±5.7 GeV. (a)√s = 500 GeV, asymptotic case:
varies from -0.301 to -0.179;
varies from -0.622 to -0.379;
varies from +0.0061 to 0.0056;
varies from -3.691 to -2.186.
varies from +0.270 to +0.118;
varies from +0.552 to 0.238;
varies from +0.0004 to +0.0002;
remains constant at -0.110. (b)√s = 700 GeV, asymptotic case:
varies from -0.297 to -0.176;
varies from -0.609 to -0.370;
varies from -0.0082 to -0.0078;
varies from -3.680 to -2.171.√s = 700 GeV, nonasymptotic case:
varies from -0.173 to -0.299;
varies from-0.343 to -0.591;
varies from -0.005 to -0.011;
remains constant at -0.110.
The pattern of form factors values for√s = 1000, 1200 GeV is almost identical to that of√s= 700 GeV. Further the values of the form factors for (m
t)D0 (=169 GeV) follow identical pattern as that of (m
t) CDF form factors values (see tables 5, 6, 9, 10).
We conclude that the values of all the form factors with the exception of these of
,
are comparable or larger than theS, T values and therefore the TGV contributions are important while deciding the use of extraU (1) model for doing physics beyond standard model. 相似文献
17.
Yu. M. Andreev S. I. Bityukov N. V. Krasnikov A. N. Toropin 《Physics of Atomic Nuclei》2007,70(10):1717-1724
The LHC (CMS) discovery potential in the search for supersymmetry and lepton-flavor violation in neutralino decays using the
e
± μ∓ + E
T
miss
signature is studied. A detailed study is done for the CMS test points LM1-LM9. It is shown that, for the point LM1, it is
possible to detect lepton-flavor violation in neutralino decays with lepton-flavor-violating branching Br(
→ μ±
e
∓
) ≥ 0.04 Br(
→ e
+
e
−
, μ+ μ−
) for an integral luminosity of 10 fb−1. The discovery potential in the mSUGRA-SUSY scenario with tan β = 10, sgn(μ) = + in the (m
0, m
1/2) plane using the e
± μ∓ + E
T
miss
signature is determined.
The text was submitted by the authors in English. 相似文献
18.
S. L. Woronowicz 《Communications in Mathematical Physics》1972,28(3):221-235
Let
be aC*-algebra and
be an opposite algebra. Notions of exact andj-positive states of
are introduced. It is shown, that any factor state of
can be extended to a pure exactj-positive state
of
. The correspondence
generalizes the notion of the purifications map introduced by Powers and Størmer. The factor states 1 and 2 are quasi-equivalent if and only if their purifications
and
are equivalent. 相似文献
19.
20.
B. I. Deutch 《Hyperfine Interactions》1992,73(1-2):175-191
The main suggested routes for atomic antihydrogen (
) formation will be reviewed in a pedestrian fashion. These are the following reactions:
, and (iii)
. The present status of the projects related to these reactions, as well as the projects' experimental scope, will also be
discussed or referred to. Some speculations will be made regarding the physics that can be yielded by an antihydrogen probe. 相似文献