共查询到20条相似文献,搜索用时 109 毫秒
1.
Miklós Rédei 《International Journal of Theoretical Physics》1995,34(8):1711-1718
Three definitions of logical independence of two von Neumann latticesP1,P2 of two sub-von Neumann algebras 1, 2 of a von Neumann algebra are given and the relations of the definitions clarified. It is shown that under weak assumptions the following notion, called logical independence is the strongest:A B 0 for any 0 A
P1, 0 B P2. Propositions relating logical independence ofP1,P2 toC
*-independence,W
* independence, and strict locality of 1, 2 are presented. 相似文献
2.
Quantum-Logics-Valued Measure Convergence Theorem 总被引:1,自引:0,他引:1
In this paper, the following quantum-logic valued measure convergence theorem is proved: Let (L
1, 0, 1) be a Boolean algebra, (L
2, , , 0, 1) be a quantum logic and {
n
: n N} be a sequence of s-bounded (L
2, , , 0, 1)-valued measures which are defined on (L
1, 0, 1). If for each a (L
1, 0, 1), {
n
(a)}
n N
is an order topology
Cauchy sequence, when {v(a)} convergent to 0, {
n
(a)} is order topology
convergent to 0 for each n N, where v is a nonnegative finite additive measure which is defined on (L
1, 0, 1), then when {v(a)} convergent to 0, {
n
(a)} are order topology
convergent to 0 uniformly with respect to n N. 相似文献
3.
Piotr Podleś 《Letters in Mathematical Physics》1989,18(2):107-119
Three-dimensional differential calculus on quantum spheres S
infc
sup2
,]–1, 1[{0}, c[0, ], is introduced and investigated. Spectra of generalized Laplacians are found. These operators are expressed by generalized directional derivatives. Classical limits of these objects are obtained and a simple approach to quantum mechanics on a quantum sphere is presented. 相似文献
4.
Derkach Vladimir Hassi Seppo de Snoo Henk 《Mathematical Physics, Analysis and Geometry》2003,6(4):349-384
Singular finite rank perturbations of an unbounded self-adjoint operator A
0 in a Hilbert space 0 are defined formally as A
()=A
0+GG
*, where G is an injective linear mapping from =
d
to the scale space -k(A0)k , kN, of generalized elements associated with the self-adjoint operator A
0, and where is a self-adjoint operator in . The cases k=1 and k=2 have been studied extensively in the literature with applications to problems involving point interactions or zero range potentials. The scalar case with k=2n>1 has been considered recently by various authors from a mathematical point of view. In this paper, singular finite rank perturbations A
() in the general setting ran G –
k
(A
0), kN, are studied by means of a recent operator model induced by a class of matrix polynomials. As an application, singular perturbations of the Dirac operator are considered. 相似文献
5.
In this paper, we prove the following improved Vitali–Hahn–Saks measure convergence theorem: Let (L, 0, 1) be a Boolean algebra with the sequential completeness property, (G, ) be an Abelian topological group, be a nonnegative finitely additive measure defined on L, {n: n N} be a sequence of finitely additive s-bounded G-valued measures defined on L, too. If for each a L, {n(a)}n N
is a -convergent sequence, for each nN, when { (a)} convergent to 0, {n(a)} is -convergent, then when { (a)} convergent to 0, {n(a)} are -convergent uniformly with respect to nN 相似文献
6.
Tohru Ozawa 《Communications in Mathematical Physics》1991,139(3):479-493
We consider the scattering problem for the nonlinear Schrödinger equation in 1+1 dimensions: where = /x,R{0},R,p>3. We show that modified wave operators for (*) exist on a dense set of a neighborhood of zero in the Lebesgue spaceL
2(R) or in the Sobolev spaceH
1(R)., The modified wave operators are introduced in order to control the long range nonlinearity |u|2
u.Laboratoire associé au Centre National de la Recherche Scientifique 相似文献
7.
We consider the limit-periodic Jacobi matrices associated with the real Julia sets of f
(z)=z
2– for which [2, ) can be seen as the strength of the limit-periodic coefficients. The typical local spectral exponent of their spectral measures is shown to be a harmonic function in decreasing logarithmically from 1 to 0. 相似文献
8.
Boguslaw Zegarlinski 《Letters in Mathematical Physics》1990,20(3):173-182
For a system on an infinite lattice, we show that a Gibbs measure for a smooth local specification ={E
} satisfying the Dobrushin uniqueness theorem also satisfies log-Sobolev inequality, provided it is satisfied for one-dimensional measures E
l
. 相似文献
9.
Giuseppe Gaeta 《International Journal of Theoretical Physics》1995,34(4):595-603
It was shown by A. Neishtadt that dynamical bifurcation, in which the control parameter is varied with a small but finite speed , is characterized by adelay in bifurcation, here denoted j and depending on . Here we study dynamical bifurcation, in the framework and with the language of Landau theory of phase transitions, in the presence of a Gaussian noise of strength . By numerical experiments at fixed = 0, we study the dependence of j on a for order parameters of dimension 3; an exact scaling relation satisfied by the equations permits us to obtain for this the behavior for general . We find that in the smallnoise regime j() a(–b
), while in the strong-noise regime j() – ce(–d); we also measure the parameters in these formulas. 相似文献
10.
Computational mechanics, an approach to structural complexity, defines a process's causal states and gives a procedure for finding them. We show that the causal-state representation—an -machine—is the minimal one consistent with accurate prediction. We establish several results on -machine optimality and uniqueness and on how -machines compare to alternative representations. Further results relate measures of randomness and structural complexity obtained from -machines to those from ergodic and information theories. 相似文献
11.
Vladimir Müller Pavel Pták Josef Tkadlec 《International Journal of Theoretical Physics》1992,31(5):843-854
LetL be a concrete (=set-representable) quantum logic. Letn be a natural number (or, more generally, a cardinal). We say thatL admits intrinsic coverings of the ordern, and writeL
C
n
, if for any pairA, BL we can find a collection {C
i
iI}, where cardI<n andC
i
L for anyiI, such thatA B=
il
C
i
. Thus, in a certain sense, ifLC
n
, then the rate of noncompatibility of an arbitrary pairA,BL is less than a given numbern. In this paper we first consider general and combinatorial properties of logics ofC
n
and exhibit typical examples. In particular, for a givenn we construct examples ofL
C
n+1\C
n
. Further, we discuss the relation of the classesC
n
to other classes of logics important within the quantum theories (e.g., we discover the interesting relation to the class of logics which have an abundance of Jauch-Piron states). We then consider conditions on which a class of concrete logics reduce to Boolean algebras. We conclude with some open questions. 相似文献
12.
Michael Flohr 《Communications in Mathematical Physics》1993,157(1):179-212
Two series ofW with two generators are constructed from chiral vertex operators of a free field representation. Ifc=1–24k, there exists aW(2, 3k) algebra for k +/2 and aW(2, 8k) algebra for k +/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theories complete the classification of all rational theories with effective central chargec
eff=1. The results are generalized to the case of extended supersymmetric conformal algebras. 相似文献
13.
Kazimierz Bragiel 《Letters in Mathematical Physics》1989,17(1):37-44
Irreducible *-representations of C(SU(3)) are constructed for ]0, 1[. It is proved that C(SU(3)) is a type-I C
*-algebra. 相似文献
14.
Marco Maioli 《Communications in Mathematical Physics》1985,98(2):245-251
For classical gases with suitable pair interactions such that (r)(lnr
–1)
p
asr0 (p), the Taylor expansion in of the correlation functions and the pressure are summable at=0 by the Borel-Le Roy method of orderp+1. 相似文献
15.
Renormalized transport equations for general Fokker-Planck systems are derived and applied to the bistable potential model. The exact equation for the expectation value x
t
can be evaluated in both domains Dx
± and xD
0 outside and between the potential minima, leading to drastic differences of the dynamics prevailing inD
± andD
0, respectively. 相似文献
16.
G. Rideau 《Letters in Mathematical Physics》1984,8(5):421-433
Let U(a, ) be a representation of the Poincaré group with mass and helicity zero, realized in the space of C
-functions with compact support on 3, without the origin. Let U
(2)(a, ) denote the tensorial product of U(a, ) by itself. We explicitly determine the cocycles of extension of U(a, ) by U
(2)(a, ) and we prove that the nontrivial cohomology is indexed by (u(),),u()D
1
]0,3\,. 相似文献
17.
It is shown that the Eisenbud-Wigner relation for time-delay holds for potentials V(r) that are O(r
-5/2-) at . This improves previous results in which V was required to be O(r
-4-) and O(r
-3-), respectively. 相似文献
18.
Benjamin Enriquez 《Letters in Mathematical Physics》1994,31(1):15-33
We define deformations of the Poisson bracket algebras of functions on manifolds
= {
+
i
/
=1w
i
-i
|w
i
C
(S
1)} of pseudodifferential symbols on the circle ( C), arising in the works of Rosly and Khesin-Zakharevich. These deformations have vertex operator algebraic (VOA) counterparts, which have (for =n integer) a quotient isomorphic to theW-algebraW
n
associated by Fateev and Lukyanov to gl
n
.The product operation of symbols defines a Lie-Poisson structure on
C
L
(Rosly, Khesin-Zakharevich); we show that this structure has also a VOA counterpart. 相似文献
19.
For a previously introduced conservative multibaker map with energy, the Gaspard–Gilbert–Dorfman entropy production of the stationary state induced by the flux boundary condition is calculated and the entropy production is shown (i) to be nonnegative, (ii) to vanish in the fine-grained limit for finite chains, (iii) to take the phenomenologically expected value in the middle of the chain and to deviate from it near the boundaries, and (iv) to reduce to the phenomenological expression in the scaling limit where the lattice site nZ and time tZ are scaled respectively as n=L
X and t=L
T and the limits of L
+ and L
+ are taken while keeping the diffusion coefficient D=lL
/L
2
constant, l being the transition rate of the model. The mass and heat transports are also studied in the scaling limit under an additional assumption that the edges of the chain are in equilibrium with different temperatures. In the linear heat transport regime, Fourier's law of heat conduction and the thermodynamic expression of the associated entropy production are obtained. 相似文献
20.
Minoru Wakimoto 《Communications in Mathematical Physics》1986,104(4):605-609
The aim of this note is to show that the affine Lie algebraA
1
(1)
has a natural family , ,v of Fock representations on the spaceC[x
i,y
j;i andj ], parametrized by (,v) C
2. By corresponding the highest weight
, of , to each (,), the parameter spaceC
2 forms a double cover of the weight spaceC0C –1 with singularities at linear forms of level –2; this number is (–1)-times the dual Coxeter number. Our results contain explicit realizations of irreducible non-integrable highest wieghtA
1
(1)
-modules for generic (,v). 相似文献