共查询到20条相似文献,搜索用时 36 毫秒
1.
Given a conditionally completely positive map on a unital *-algebra , we find an interesting connection between the second Hochschild cohomology of with coefficients in the bimodule of adjointable maps, where M is the GNS bimodule of , and the possibility of constructing a quantum random walk [in the sense of (Attal et al. in Ann Henri Poincar 7(1):59–104,
2006; Lindsay and Parthasarathy in Sankhya Ser A 50(2):151–170, 1988; Sahu in Quantum stochastic Dilation of a class of Quantum
dynamical Semigroups and Quantum random walks. Indian Statistical Institute, 2005; Sinha in Banach Center Publ 73:377–390,
2006)] corresponding to .
D. Goswami was supported by a project funded by the Indian National Academy of Sciences.
L. Sahu had research support from the National Board of Higher Mathematics, DAE (India) is gratefully acknowledged. 相似文献
2.
Ruqian Lu 《International Journal of Theoretical Physics》2005,44(9):1495-1530
We propose the concept of finite stop quantum automata (ftqa) based on Hilbert space and compare it with the finite state
quantum automata (fsqa) proposed by Moore and Crutchfield (Theoretical Computer Science 237(1–2), 2000, 275–306). The languages accepted by fsqa form a proper subset of the languages accepted by ftqa. In addition,
the fsqa form an infinite hierarchy of language inclusion with respect to the dimensionality of unitary matrices. We introduce
complex-valued acceptance degrees and two types of finite stop quantum automata based on them: the invariant ftqa (icftq)
and the variant ftqa (vcftq). The languages accepted by icftq form a proper subset of the languages accepted by vcftq. In
addition, the icftq form an infinite hierarchy of language inclusion with respect to the dimensionality of unitary matrices.
In this way, we establish two proper inclusion relations
(fsqa) ⊂
(ftqa) and
(icftq) ⊂
(vcftq), where the symbol
means languages, and two infinite language hierarchies
(fsqa) ⊂
(fsqa),
(icftq)
(icftq). 相似文献
3.
We show that the affine quantum group
is isomorphic to a bicross-product central extension
of the quantum loop group
by a quantum cocycle
in R-matrix form. 相似文献
4.
Doklady Physics - The dependence of the ratio of the squared velocities of longitudinal and transverse acoustic waves $$\frac{{{v}_{{\text{L}}}^{{\text{2}}}}}{{{v}_{{\text{S}}}^{{\text{2}}}}}$$ on... 相似文献
5.
H. P. McKean 《Journal of statistical physics》1994,74(5-6):1227-1232
It is proved that the ground state Λ(L) of (?1)x the Schrödinger operator with white noise potential, on an interval of lengthL, subject to Neumann, periodic, or Dirichlet conditions, satisfies the law $$\mathop {\lim }\limits_{L \uparrow \infty } P[(L/\pi )\Lambda ^{1/2} \exp ( - \tfrac{8}{3}\Lambda ^{3/2} ) > x] = \left\{ {\begin{array}{*{20}c} {1forx< 0} \\ {e^{ - x} forx \geqslant 0} \\ \end{array} } \right.$$ 相似文献
6.
Ang Han Wei Chan Aik Hui Ghaffar Mahumm Rybczyński Maciej Wilk Grzegorz Włodarczyk Zbigniew 《The European Physical Journal A - Hadrons and Nuclei》2020,56(4):1-8
The European Physical Journal A - The transverse momentum ($$p_{T}$$) distribution of strange hadrons ($$K_{S}^{0}$$ and $$\varLambda $$) and multi-strange hadrons( $$\varXi $$ and $$\varOmega $$)... 相似文献
7.
Physics of Atomic Nuclei - The elastic scattering of $$\alpha$$ particle from $${}^{89}$$ Y, $${}^{92}$$ Mo, $${}^{106-116}$$ Cd, $${}^{112}$$ Sn, and $${}^{144}$$ Sm nuclei ( $$Z=39{-}62$$ ) at... 相似文献
8.
In their 1936 founding paper on quantum logic, Birkhoff and von Neumann postulated that the lattice describing the experimental
propositions concerning a quantum system is orthocomplemented. We prove that this postulate fails for the lattice
sep describing a compound system consisting of so called separated quantum systems. By separated we mean two systems prepared in different “rooms” of the lab, and before any interaction takes
place. In that case, the state of the compound system is necessarily a product state. As a consequence, Dirac’s superposition
principle fails, and therefore
sep cannot satisfy all Piron’s axioms. In previous works, assuming that
sep is orthocomplemented, it was argued that
sep is not orthomodular and fails to have the covering property. Here we prove that
sep cannot admit an orthocomplementation. Moreover, we propose a natural model for
sep which has the covering property.
PACS: 03.65.Ta, 03.65.Ca 相似文献
9.
Physics of Atomic Nuclei - The total kinetic energy as a function of fragment mass (TKE/A) was calculated for photofission of $${}^{232}$$ Th, $${}^{234}$$ U, $${}^{238}$$ U, $${}^{240}$$ Pu, and... 相似文献
10.
We study a large class of Poisson manifolds, derived from Manin triples, for which we construct explicit partitions into regular
Poisson submanifolds by intersecting certain group orbits. Examples include all varieties of Lagrangian subalgebras of reductive quadratic Lie algebras with Poisson structures defined by Lagrangian splittings of . In the special case of , where is a complex semi-simple Lie algebra, we explicitly compute the ranks of the Poisson structures on defined by arbitrary Lagrangian splittings of . Such Lagrangian splittings have been classified by P. Delorme, and they contain the Belavin–Drinfeld splittings as special
cases. 相似文献
11.
Search for Scalar Resonance in the ωϕ System in the Pion-Nuclear Interaction at Momentum of 29 GeV/c
Physics of Atomic Nuclei - The charge-exchange reaction $${{\pi }^{ - }}p \to n\omega (783)\phi (1020)$$ , $$\omega \to {{\pi }^{ + }}{{\pi }^{ - }}{{\pi }^{0}}$$ , $$\phi \to {{K}^{ + }}{{K}^{ -... 相似文献
12.
Galanina L. I. Zelenskaya N. S. Lebedev V. M. Orlova N. V. Spassky A. V. 《Physics of Atomic Nuclei》2020,83(3):369-376
Physics of Atomic Nuclei - Angular $$t$$ – $$\gamma$$ correlations measured earlier in the reaction $${}^{27}$$ Al $$(\alpha,t)^{28}$$ Si(2 $${}^{+}$$ ) occurring at $$E_{\alpha}=30.3$$ MeV... 相似文献
13.
Feynman diagrammatic technique was used for the calculation of Hartree-Fock and correlation energies, relativistic corrections, dipole matrix element. The whole energy of atomic system was defined as a polen-electron Green function. Breit operator was used for the calculation of relativistic corrections. The Feynman diagrammatic technique was developed for 〈HB>. Analytical expressions for the contributions from diagrams were received. The calculations were carried out for the terms of such configurations as 1s2 2sn1 2pn2 (2 ≧n1≧ 0, 6≧ n2 ≧ 0). Numerical results are presented for the energies of the terms in the form $$E = E_0 Z^2 + \Delta {\rm E}_2 + \frac{1}{Z}\Delta {\rm E}_3 + \frac{{\alpha ^2 }}{4}(E_0^r + \Delta {\rm E}_1^r Z^3 )$$ and for fine structure of the terms in the form $$\begin{gathered} \left\langle {1s^2 2s^{n_1 } 2p^{n_2 } LSJ|H_B |1s^2 2s^{n_1 \prime } 2p^{n_2 \prime } L\prime S\prime J} \right\rangle = \hfill \\ = ( - 1)^{\alpha + S\prime + J} \left\{ {\begin{array}{*{20}c} {L S J} \\ {S\prime L\prime 1} \\ \end{array} } \right\}\frac{{\alpha ^2 }}{4}(Z - A)^3 [E^{(0)} (Z - B) + \varepsilon _{co} ] + \hfill \\ + ( - 1)^{L + S\prime + J} \left\{ {\begin{array}{*{20}c} {L S J} \\ {S\prime L\prime 2} \\ \end{array} } \right\}\frac{{\alpha ^2 }}{4}(Z - A)^3 \varepsilon _{cc} . \hfill \\ \end{gathered} $$ Dipole matrix elements are necessary for calculations of oscillator strengths and transition probabilities. For dipole matrix elements two members of expansion by 1/Z have been obtained. Numerical results were presented in the form P(a,a′) = a/Z(1+τ/Z). 相似文献
14.
We consider a class of fourth order theories of gravity with arbitrary matter fields arising from a diffeomorphism invariant Lagrangian density
, with
and
the phenomenological representation of the nongravitational fields. We derive first the generalization of the Einstein pseudotensor and the von Freud superpotential. We then show, using the arbitrariness that is always present in the choice of pseudotensor and superpotential, that we can choose these superpotentials to have the same form as those for the Hilbert Lagrangian of general relativity (GR). In particular we may introduce the Moller superpotential of GR as associated with a double-index differential conservation law. Similarly, using the Moller superpotential we prove that we can choose the Komar vector of GR to construct a conserved quantity for isolated asymptotically flat systems. For the example R + R2theory we prove then, that the active mass is equal to the total energy (or inertial mass) of the system. 相似文献
15.
Zheltonozhsky V. A. Zheltonozhskaya M. V. Savrasov A. N. Chernyaev A. P. Yatsenko V. N. 《Physics of Atomic Nuclei》2020,83(4):539-544
Physics of Atomic Nuclei - The weighted-average cross sections for $${}^{179m2}$$ Hf and $${}^{180m}$$ Hf population in ( $$\gamma,\gamma^{\prime}$$ ) reactions induced by gamma rays of... 相似文献
16.
17.
Michael R. Douglas Bernard Shiffman Steve Zelditch 《Communications in Mathematical Physics》2006,265(3):617-671
A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of supersymmetric vacua of type IIb string theories compactified on a Calabi-Yau 3-fold X with flux. In particular, complete proofs of the counting formulas in Ashok-Douglas [AD] and Denef-Douglas [DD1] are given, together with van der Corput style remainder estimates.Supersymmetric vacua are critical points of certain holomorphic sections (flux superpotentials) of a line bundle
over the moduli space of complex structures on X × T
2 with respect to the Weil-Petersson connection. Flux superpotentials form a lattice of full rank in a 2 b
3(X)-dimensional real subspace
. We show that the density of critical points in
for this lattice of sections is well approximated by Gaussian measures of the kind studied in [DSZ1,DSZ2,AD,DD1].Research partially supported by DOE grant DE-FG02-96ER40959 (first author) and NSF grants DMS-0100474 (second author) and DMS-0302518 (third author). 相似文献
18.
We introduce a notion of full field algebra which is essentially an algebraic formulation of the notion of genus-zero full
conformal field theory. For any vertex operator algebras V
L
and V
R
, is naturally a full field algebra and we introduce a notion of full field algebra over . We study the structure of full field algebras over using modules and intertwining operators for V
L
and V
R
. For a simple vertex operator algebra V satisfying certain natural finiteness and reductivity conditions needed for the Verlinde conjecture to hold, we construct
a bilinear form on the space of intertwining operators for V and prove the nondegeneracy and other basic properties of this form. The proof of the nondegenracy of the bilinear form depends
not only on the theory of intertwining operator algebras but also on the modular invariance for intertwining operator algebras
through the use of the results obtained in the proof of the Verlinde conjecture by the first author. Using this nondegenerate
bilinear form, we construct a full field algebra over and an invariant bilinear form on this algebra. 相似文献
19.
Letters in Mathematical Physics - We compute the rational $${{\mathfrak {s}}}{{\mathfrak {l}}}_2$$ R-matrix acting in the product of two spin- $$\ell \over 2$$ ( $${\ell \in {\mathbb {N}}}$$ )... 相似文献
20.
Physics of Atomic Nuclei - Centroid energies, $$E_{\textrm{CEN}}$$ , of the isoscalar ( $$T=0$$ ) and isovector ( $$T=1$$ ) giant resonances of multipolarities $$L_{m}=0$$ –3 in... 相似文献