共查询到20条相似文献,搜索用时 31 毫秒
1.
In this note we study lattice Φ4-models with Hamiltonian $$H = \tfrac{1}{2}(\varphi , - \Delta \varphi ) + \lambda \Sigma \left( {\varphi _i^2 - \frac{{m^2 }}{{8\lambda }}} \right)^2$$ and Gaussian boundary conditions. Using the polymer expansion we obtain analyticity of the pressure and the correlation functions in the infinite volume limit in a region $$\left\{ {\left. \lambda \right| \left| \lambda \right|< \varepsilon ,\left| {arg } \right.\left. \lambda \right|< \frac{\pi }{2} - \delta } \right\}$$ for every δ>0. 相似文献
2.
Occupied traps responsible for delayed electron emission show an exponential decay. From the form of a single glowmaximum one can determine the temperature dependence of the decay constant of the traps of one sort. The decay constant is shown to have the form
$$\lambda (T) = \lambda _0 \exp ( - \varepsilon /kT).$$ 相似文献
3.
We consider the Dirichlet Laplacian for astrip in
with one straight boundary and a width
, where $f$ is a smooth function of acompact support with a length 2b. We show that in the criticalcase,
, the operator has nobound statesfor small
.On the otherhand, a weakly bound state existsprovided
. In thatcase, there are positive c
1,c
2 suchthat the corresponding eigenvalue satisfies
for all
sufficiently small. 相似文献
4.
Aokage Kazuya Shinkawa Eriko Yamada Hiro-Fumi 《Letters in Mathematical Physics》2020,110(6):1381-1389
Letters in Mathematical Physics - A formula for Schur Q-functions is presented which describes the action of the Virasoro operators. For a strict partition $$\lambda =(\lambda _1,\lambda _2,\ldots... 相似文献
5.
Optical Review - During the measurement of spectral luminous efficiency function $$V\left( \lambda \right)$$, monochromatic visual stimuli of higher luminance can be obtained by narrow band optical... 相似文献
6.
S. Dvořák 《Czechoslovak Journal of Physics》1968,18(7):840-846
The identity $$\sum\limits_{v = 0} {\left( {\begin{array}{*{20}c} {n + 1} \\ v \\ \end{array} } \right)\left[ {\left( {\begin{array}{*{20}c} {n - v} \\ v \\ \end{array} } \right) - \left( {\begin{array}{*{20}c} {n - v} \\ {v - 1} \\ \end{array} } \right)} \right] = ( - 1)^n } $$ is proved and, by means of it, the coefficients of the decomposition ofD 1 n into irreducible representations are found. It holds: ifD 1 n \(\mathop {\sum ^n }\limits_{m = 0} A_{nm} D_m \) , then $$A_{nm} = \mathop \sum \limits_{\lambda = 0} \left( {\begin{array}{*{20}c} n \\ \lambda \\ \end{array} } \right)\left[ {\left( {\begin{array}{*{20}c} \lambda \\ {n - m - \lambda } \\ \end{array} } \right) - \left( {\begin{array}{*{20}c} \lambda \\ {n - m - \lambda - 1} \\ \end{array} } \right)} \right].$$ 相似文献
7.
H. D. Maison 《Communications in Mathematical Physics》1971,22(2):166-172
The partition functionZ(β,λ)=Tre -β(T+λV) for a finite quantized system is investigated. If the interactionV is a relatively bounded operator with respect to the kinetic energyT withT-boundb<1,Z(β,λ) is shown to be a holomorphic function of β and λ for $$\left| {\arg \beta } \right|< arctg\frac{{\sqrt {1 - b^2 \left| \lambda \right|^2 } }}{{b\left| \lambda \right|}}and\left| \lambda \right|< b^{ - 1} .$$ Forb=0Z(β,λ) is an entire function of λ and holomorphic in β for Re β>0. 相似文献
8.
Leonid Malozemov 《Communications in Mathematical Physics》1993,156(2):387-397
We consider the integrated density of statesN(λ) of the difference Laplacian ?Δ on the modified Koch graph. We show thatN(λ) increases only with jumps and a set of jump points ofN(λ) is the set of eigenvalues of ?Δ with the infinite multiplicity. We establish also that $$0< C_1 \leqslant \mathop {\lim }\limits_{\lambda \to 0} \frac{{N(\lambda )}}{{\lambda ^{d_s /2} }}< \overline {\mathop {\lim }\limits_{\lambda \to 0} } \frac{{N(\lambda )}}{{\lambda ^{d_s /2} }} \leqslant C_2< \infty$$ whered s =2log5/log(40/3) is the spectral dimension of MKG. 相似文献
9.
Z. G. Huang 《International Journal of Theoretical Physics》2007,46(1):170-183
Based on Weyl-scaled induced gravitational theory, we regard dilaton field in this theory as a candidate of dark energy. We
construct a dilatonic dark energy model and its phantom model, that admit late time de Sitter attractor solution. When we
take the potential of dilaton field as the form which has been studied in supergravity model and the famous Mexican hat potential , we show mathematically that these attractor solutions correspond to an equation of state ω = −1 and a cosmic density parameter
Ω_σ = 1, which are important features for a dark energy model that can meet the current observations. 相似文献
10.
O. Casta∼nos J. P. Draayer Y. Leschber 《Zeitschrift für Physik A Hadrons and Nuclei》1988,329(1):33-43
The irreducible representation labelsλ andμ of the SU(3) shell model are related to the shape variablesβ andγ of the collective model by invoking a linear mapping between eigenvalues of invariant operators of the two theories. All but one parameter of the theory is fixed if the shell-model result is required to reproduce the collective-model geometry. And for one special value of the remaining free parameter there is a simple linear relationship between the eigenvalues, λα, of the quadrupole matrix of the collective model and the SU(3) representation labels: $$\lambda _1 = ( - \lambda + \mu )/3, \lambda _2 = ( - \lambda + 2\mu + 3)/3, \lambda _3 = (2\lambda + \mu + 3)/3.$$ The correspondence between hamiltonians that describe rotations in each theory is also given. Results are shown for two cases,24Mg and168Er, to demonstrate that the simplest mapping yields excellent results for both energies and transition rates. For λ and/or μ large, the (β, γ)?(λ,μ) correspondence introduced here reduces to the symplectic shell-model result. 相似文献
11.
Christer Borell 《Communications in Mathematical Physics》1982,86(1):143-147
LetX be the Brownian motion in ? n and denote by τ M the first hitting time ofM?? n . Given convex setsK?L?? n we prove that all the level sets $$\{ \left( {x,t} \right) \in \mathbb{R}^n \times [0, + \infty [;P_x [\tau _K \leqq t \wedge \tau _{L^c } ] \geqq \lambda \} ,\lambda \in \mathbb{R}$$ are convex. 相似文献
12.
We consider the λ(?6??4) quantum field theory in two space-time dimensions. Using the Bethe-Salpeter equation, we show that there is a unique two particle bound state if the coupling constant λ>0 is sufficiently small. Ifm is the mass of single particles then the bound state mass is given by $$_B (\lambda ) = 2m\left( {1 - \frac{9}{8}\left( {\frac{\lambda }{{m^2 }}} \right)} \right)^2 + \mathcal{O}\left( {\lambda ^3 } \right).$$ 相似文献
13.
Ryszard Rączka 《Letters in Mathematical Physics》1978,2(4):325-333
A new dynamical equation for the scattering operator in Quantum Field Theory is derived. General properties of solutions of dynamical equation are discussed. A new method of constructing nonperturbative formula for the scattering operator is presented. Explicit construction of scattering operator in
and
models is carried out.Supported in part by the National Science Foundation under Grant GF-41958. 相似文献
14.
We compute the first cohomology spaces
of the Lie superalgebra with coefficients in the superspace of linear differential operators acting on weighted densities on the supercircle S
1|1. The structure of these spaces was conjectured in (Gargoubi et al. in Lett Math Phys 79:5165, 2007). In fact, we prove here
that the situation is a little bit more complicated.
相似文献
15.
Let (M, g) be a pseudo-Riemannian manifold and
the space of densities of degree on M. Denote
the space of differential operators from
to
of order k and S
k
with = – the corresponding space of symbols. We construct (the unique) conformally invariant quantization map
. This result generalizes that of Duval and Ovsienko. 相似文献
16.
The infinite family of Poisson brackets
between the elements of a scattering matrix is calculated for the linear matrix spectral problem. 相似文献
17.
J. Bellissard B. Iochum E. Scoppola D. Testard 《Communications in Mathematical Physics》1989,125(3):527-543
In this paper we prove that the one dimensional Schrödinger operator onl 2(?) with potential given by: $$\upsilon (n) = \lambda \chi _{[1 - \alpha , 1[} (x + n\alpha )\alpha \notin \mathbb{Q}$$ has a Cantor spectrum of zero Lebesgue measure for any irrationalα and any λ>0. We can thus extend the Kotani result on the absence of absolutely continuous spectrum for this model, to all . 相似文献
18.
A. P. Fordy A. G. Reyman M. A. Semenov-Tian-Shansky 《Letters in Mathematical Physics》1989,17(1):25-29
The formalism of classical r-matrices is used to construct families of compatible Poisson brackets for some nonlinear integrable systems connected with Virasoro algebras. We recover the coupled KdV [1] and Harry Dym [2] systems associated with the auxiliary linear problem 1 $$\sum\limits_{i = 0}^N {\lambda '\left( {a_i \frac{{{\text{d}}^{\text{2}} }}{{{\text{dx}}^2 }} + {\text{u}}_{\text{i}} } \right)} \psi = 0$$ . 相似文献
19.
David Isaacson 《Communications in Mathematical Physics》1977,53(3):257-275
The eigenvalues, eigenfunctions, and Schwinger functions of the ordinary differential operator $$H(\lambda ,m) = \tfrac{1}{2}\{ p^2 + \lambda q^4 + (m^2 - \lambda m^{ - 2} )q^2 \} $$ are studied as λ → ∞. It is shown that the scaling limit of the Schwinger functions equals the scaling limit of a one dimensional Ising model. Critical exponents ofH(λ,m) are shown to equal critical exponents of the Ising model, while critical exponents of the renormalized theory are shown to agree with those of a harmonic oscillator. 相似文献
20.
Abdelkader Intissar 《Communications in Mathematical Physics》1987,113(2):263-297
In this paper, we study a few spectral properties of a non-symmetrical operator arising in the Gribov theory. The first and second section are devoted to Bargmann's representation and the study of general spectral properties of the operator: $$\begin{gathered} H_{\lambda ',\mu ,\lambda ,\alpha } = \lambda '\sum\limits_{j = 1}^N {A_j^{ * 2} A_j^2 + \mu \sum\limits_{j = 1}^N {A_j^ * A_j + i\lambda \sum\limits_{j = 1}^N {A_j^ * (A_j + A_j^ * )A_j } } } \hfill \\ + \alpha \sum\limits_{j = 1}^{N - 1} {(A_{j + 1}^ * A_j + A_j^ * A_{j + 1} ),} \hfill \\ \end{gathered}$$ whereA* j andA j ,j∈[1,N] are the creation and annihilation operators. In the third section, we restrict our study to the case of nul transverse dimension (N=1). Following the study done in [1], we consider the operator: $$H_{\lambda ',\mu ,\lambda } = \lambda 'A^{ * 2} A^2 + \mu A^ * A + i\lambda A^ * (A + A^ * )A,$$ whereA* andA are the creation and annihilation operators. For λ′>0 and λ′2≦μλ′+λ2. We prove that the solutions of the equationu′(t)+H λ′, μ,λ u(t)=0 are expandable in series of the eigenvectors ofH λ′,μ,λ fort>0. In the last section, we show that the smallest eigenvalue σ(α) of the operatorH λ′,μ,λ,α is analytic in α, and thus admits an expansion: σ(α)=σ0+ασ1+α2σ2+..., where σ0 is the smallest eigenvalue of the operatorH λ′,μ,λ,0. 相似文献