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1.
In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for
the classical r-matrix with (deformed) symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry algebra. On the fundamental representation
our r-matrix coincides with the classical limit of the quantum R-matrix. 相似文献
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Milan M. Ćirković 《Foundations of Physics》2002,32(7):1141-1157
The intriguing recent suggestion of Tegmark that the universe—contrary to all our experiences and expectations—contains only a small amount of information due to an extremely high degree of internal symmetry is critically examined. It is shown that there are several physical processes, notably Hawking evaporation of black holes and non-zero decoherence time effects described by Plaga, as well as thought experiments of Deutsch and Tegmark himself, which can be construed as arguments against the low-information universe hypothesis. Some ramifications for both quantum mechanics and cosmology are briefly discussed. 相似文献
3.
CHEN Jin-Bing GENG Xian-Guo 《理论物理通讯》2005,44(9)
This paper deals with the integrability of a finite-dimensional Hamiltonian system linked with the generalized coupled KdV hierarchy. For this purpose the associated Lax representation is presented after an elementary calculation. It is shown that the Lax representation enjoys a dynamical r-matrix formula instead of a classical one in the Poisson bracket on R2N. Consequently the resulting system is proved to be completely integrable in view of its r-matrix structure. 相似文献
4.
CHEN Jin-Bing GENG Xian-Guo 《理论物理通讯》2005,44(3):393-395
This paper deals with the integrability of a finite-dimensional Hamiltonian system linked with the generalized coupled KdV hierarchy. For this purpose the associated Lax representation is presented after an elementary calculation. It is shown that the Lax representation enjoys a dynamical r-matrix formula instead of a classical one in the Poisson bracket on R^2N. Consequently the resulting system is proved to be completely integrable in view of its r-matrix structure. 相似文献
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Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics and indicate how Bohmian mechanics solves these problems and clarifies the status and the role of the quantum formalism. 相似文献
7.
B. P. Kosyakov 《Foundations of Physics》2008,38(1):76-88
We interpret the concept of determinism for a classical system as the requirement that the solution to the Cauchy problem
for the equations of motion governing this system be unique. This requirement is generally believed to hold for all autonomous
classical systems. Our analysis of classical electrodynamics in a world with one temporal and one spatial dimension provides
counterexamples of this belief. Given the initial conditions of a particular type, the Cauchy problem may have an infinite
set of solutions. Therefore, random behavior of closed classical systems is indeed possible. With this finding, we give a
qualitative explanation of how classical strings can split. We propose a modified path integral formulation of classical mechanics
to include indeterministic systems. 相似文献
8.
Sudip Nath Sujit Kumar Ghosh Subrata Kundu Snigdhamayee Praharaj Sudipa Panigrahi Tarasankar Pal 《Journal of nanoparticle research》2006,8(1):111-116
A detailed comparison of the softness of gold and silver has been reported in the light of hard soft acid base (HSAB) principle. Gold and silver nanoparticles in organic media (i.e., organosol) have been exploited individually to establish the principle. Sulfur and nitrogen were employed as soft and borderline donating atoms to examine the metal-ligand interactions. In this regard, thiols and amines have been considered as interacting ligands with sulfur and nitrogen donor atoms respectively. The stronger affinity of gold towards softer sulfur donor as compared to nitrogen and conversely a reasonable interaction of silver nanoparticles with both the atoms authenticate the softer nature of gold nanoparticle as compared to silver one. 相似文献
9.
Eliahu Cohen 《Foundations of Physics》2017,47(10):1261-1266
Despite their important applications in metrology and in spite of numerous experimental demonstrations, weak measurements are still confusing for part of the community. This sometimes leads to unjustified criticism. Recent papers have experimentally clarified the meaning and practical significance of weak measurements, yet in Kastner (Found Phys 47:697–707, 2017), Kastner seems to take us many years backwards in the the debate, casting doubt on the very term “weak value” and the meaning of weak measurements. Kastner appears to ignore both the basics and frontiers of weak measurements and misinterprets the weak measurement process and its outcomes. In addition, she accuses the authors of Aharonov et al. (Ann Phys 355:258–268, 2015) in statements completely opposite to the ones they have actually made. There are many points of disagreement between Kastner and us, but in this short reply I will leave aside the ontology (which is indeed interpretational and far more complex than that described by Kastner) and focus mainly on the injustice in her criticism. I shall add some general comments regarding the broader theory of weak measurements and the two-state-vector formalism, as well as supporting experimental results. Finally, I will point out some recent promising results, which can be proven by (strong) projective measurements, without the need of employing weak measurements. 相似文献
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Bengt E. Y. Svensson 《Foundations of Physics》2013,43(10):1193-1205
A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box Paradox and Hardy’s Paradox). This requires the weak value to be interpreted as a bona fide property of the system considered, a par with entities like operator mean values and eigenvalues. I question such an interpretation; it has no support in the basic axioms of quantum mechanics and it leads to unreasonable results in concrete situations. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(2):181-189
Abstract Under the Neumann constraints, each equation of the KdV hierarchy is decomposed into two finite dimensional systems, including the well-known Neumann model. Like in the case of the Bargmann constraint, the explicit Lax representations are deduced from the adjoint representation of the auxiliary spectral problem. It is shown that the Lax operator satisfies the r-matrix relation in the Dirac bracket. Thus, the integrabilities of these resulting systems with the Neumann constraints are obtained. 相似文献
16.
Daniel R. Terno 《Foundations of Physics》2006,36(1):102-111
A new proof of the impossibility of a universal quantum-classical dynamics is given. It has at least two consequences. The standard paradigm “quantum system is measured by a classical apparatus” is untenable, while a quantum matter can be consistently coupled only with a quantum gravity. 相似文献
17.
《Journal of Nonlinear Mathematical Physics》2013,20(4):365-383
Abstract In this paper we consider the Poisson algebraic structure associated with a classical r-matrix, i.e. with a solution of the modified classical Yang–Baxter equation. In Section 1 we recall the concept and basic facts of the r-matrix type Poisson orbits. Then we describe the r-matrix Poisson pencil (i.e the pair of compatible Poisson structures) of rank 1 or CP n-type orbits of SL(n, C). Here we calculate symplectic leaves and the integrable foliation associated with the pencil. We also describe the algebra of functions on CP n-type orbits. In Section 2 we calculate the Poisson homology of Drinfeld–Sklyanin Poisson brackets which belong to the r-matrix Poisson family. 相似文献
18.
ZHOU RuGuang 《理论物理通讯》2000,33(1):75-80
We present the Lax representations for the restricted Boussinesq flows resulted from the binary nonlinearization,of Lax systems of Boussinesq equation. Furthermore we show this Lax operator satisfies the T-matrix relation. Thus 3N involutive integrals for restricted Boussinesq flows are obtained. 相似文献
19.
《Journal of Nonlinear Mathematical Physics》2013,20(2):132-139
Abstract In this work we apply the Weiss, Tabor and Carnevale integrability criterion (Painlevé analysis) to the classical version of the two dimensional Bukhvostov-Lipatov model. We are led to the conclusion that the model is not integrable classically, except at a trivial point where the theory can be described in terms of two uncoupled sine-Gordon models. 相似文献
20.
In this Letter, we construct a new Lax operator for the elliptic Calogero–Moser model with N=2. The nondynamical r-matrix structure of this Lax operator is also studied. The relation between our Lax operator and the Lax operator given by Krichever is also obtained. 相似文献