56 research outputs found
Realization of the N(odd)-dimensional Quantum Euclidean Space by Differential Operators
The quantum Euclidean space R_{q}^{N} is a kind of noncommutative space which
is obtained from ordinary Euclidean space R^{N} by deformation with parameter
q. When N is odd, the structure of this space is similar to R_{q}^{3}.
Motivated by realization of R_{q}^{3} by differential operators in R^{3}, we
give such realization for R_{q}^{5} and R_{q}^{7} cases and generalize our
results to R_{q}^{N} (N odd) in this paper, that is, we show that the algebra
of R_{q}^{N} can be realized by differential operators acting on C^{infinite}
functions on undeformed space R^{N}.Comment: 10 pages, LaTe
Properties of h-deformed quantum (super)matrices
We investigate the -deformed quantum (super)group of matrices
and use a kind of contraction procedure to prove that the -th power of this
deformed quantum (super)matrix is quantum (super)matrix with the deformation
parameter .Comment: Accepted by International Journal of Theoretical Physic
Charged coherent states related to su_{q}(2) covariance
A new kind of q-deformed charged coherent states is constructed in Fock space
of two-mode q-boson system with su_{q}(2) covariance and a resolution of unity
for these states is derived. We also present a simple way to obtain these
coherent states using state projection method.Comment: 7 pages. To appear in Modern Phyics Letter:
The Next-Generation Surgical Robots
The chronicle of surgical robots is short but remarkable. Within 20 years since the regulatory approval of the first surgical robot, more than 3,000 units were installed worldwide, and more than half a million robotic surgical procedures were carried out in the past year alone. The exceptionally high speeds of market penetration and expansion to new surgical areas had raised technical, clinical, and ethical concerns. However, from a technological perspective, surgical robots today are far from perfect, with a list of improvements expected for the next-generation systems. On the other hand, robotic technologies are flourishing at ever-faster paces. Without the inherent conservation and safety requirements in medicine, general robotic research could be substantially more agile and explorative. As a result, various technical innovations in robotics developed in recent years could potentially be grafted into surgical applications and ignite the next major advancement in robotic surgery. In this article, the current generation of surgical robots is reviewed from a technological point of view, including three of possibly the most debated technical topics in surgical robotics: vision, haptics, and accessibility. Further to that, several emerging robotic technologies are highlighted for their potential applications in next-generation robotic surgery
Eigenstates of Paraparticle Creation Operators
Eigenstates of the parabose and parafermi creation operators are constructed.
In the Dirac contour representation, the parabose eigenstates correspond to the
dual vectors of the parabose coherent states. In order , conserved-charge
parabose creation operator eigenstates are also constructed. The contour forms
of the associated resolutions of unity are obtained.Comment: 14 pages, LaTex file, no macros, no figure
Deformed squeezed states in noncommutative phase space
A deformed boson algebra is naturally introduced from studying quantum
mechanics on noncommutative phase space in which both positions and momenta are
noncommuting each other. Based on this algebra, corresponding intrinsic
noncommutative coherent and squeezed state representations are constructed, and
variances of single- and two-mode quadrature operators on these states are
evaluated. The result indicates that in order to maintain Heisenberg's
uncertainty relations, a restriction between the noncommutative parameters is
required
The State-Vector Space for Two-Mode Parabosons and Charged Parabose Coherent States
The structure of the state-vector space for the two-mode parabose system is
investigated and a complete set of state-vectors is constructed. The basis
vectors are orthonormal in order . In order , conserved-charge
parabose coherent states are constructed and an explicit completeness relation
is obtained.Comment: 13 pages, LaTeX file, no figures and no macro
A new kind of representations on noncommutative phase space
We introduce new representations to formulate quantum mechanics on
noncommutative phase space, in which both coordinate-coordinate and
momentum-momentum are noncommutative. These representations explicitly display
entanglement properties between degrees of freedom of different coordinate and
momentum components. To show their potential applications, we derive explicit
expressions of Wigner function and Wigner operator in the new representations,
as well as solve exactly a two-dimensional harmonic oscillator on the
noncommutative phase plane with both kinetic coupling and elastic coupling
The Logistic Regression from the Viewpoint of the Factor Space Theory
Logistic regression plays an important role in machine learning. People excitingly use it in conceptual matching yet with some details to be understood further. This paper aims to present a reasonable statement on logistic regression based on fuzzy sets and the factor space theory. An example about breast cancer diagnosis is displayed to show how the factor space theory can be incorporated into the understanding and use of logistic regression
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