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We apply the statistical measure of complexity introduced by Lopez-Ruiz, Mancini and Calbet to neutron stars structure. Neutron stars is a classical example where the gravitational field and quantum behavior are combined and produce a…

Solar and Stellar Astrophysics · Physics 2009-10-06 K. Ch. Chatzisavvas , V. P. Psonis , C. P. Panos , Ch. C. Moustakidis

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted yields a structure that is analogous in many respects to that of mixed-state entanglement. Specifically, we develop this…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Andrew C. Doherty , Robert W. Spekkens , H. M. Wiseman

The tight upper bound on the state complexity of the reverse of R-trivial and J-trivial regular languages of the state complexity n is 2^{n-1}. The witness is ternary for R-trivial regular languages and (n-1)-ary for J-trivial regular…

Formal Languages and Automata Theory · Computer Science 2013-06-11 Galina Jirásková , Tomáš Masopust

In this paper, we address the issue of enhancing coherence of a state under stochastic strictly incoherent operations. Based on the $l_1$ norm of coherence, we obtain the maximal value of coherence that can be achieved for a state…

Quantum Physics · Physics 2017-12-27 C. L. Liu , Yan-Qing Guo , D. M. Tong

We analyze the problem of comparing unitary transformations. The task is to decide, with minimal resources and maximal reliability, whether two given unitary transformations are identical or different. It is possible to make such…

Quantum Physics · Physics 2009-11-07 Erika Andersson , Igor Jex , Stephen M. Barnett

In the first half we show an interesting relation between coherent states and the Bell states in the case of spin 1/2, which was suggested by Fivel. In the latter half we treat generalized coherent states and try to generalize this relation…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii

A novel equation of state used for analysis of the heavy ion collision experimental data is generalized to also describe the matter inside neutron stars. This approach differs from others by including an induced surface tension caused by…

High Energy Astrophysical Phenomena · Physics 2019-02-20 V. Sagun , I. Lopes , A. Ivanytskyi

Two kinds of difficulties have challenged the physics community for many years: (1) knowing nature's building blocks (particle physics) and (2) understanding interacting many-body systems (many-body physics). Both of them exist in the…

Astrophysics · Physics 2010-04-14 Renxin Xu

A generalization of coherent states has been developed in the context of supersymmetric quantum mechanics. For many cases, no link has been made with the corresponding classical system. In this work, we consider simple superpotentials and…

High Energy Physics - Theory · Physics 2025-04-09 Musongela Lubo , Kikunga Kasenda Ivan , Likwolo Katamba Stanislas

Using the Paul Trap as a model, we point out that the same wave functions can be variously coherent or squeezed states, depending upon the system they are applied to.

Quantum Physics · Physics 2007-05-23 Michael Martin Nieto , D. Rodney Truax

A statistical-mechanical treatment of collision leads to a formal connection with transition-state theory, suggesting that collision theory and transition-state theory might be joined ultimately as a collision induced transition state…

General Physics · Physics 2007-05-23 Y. G. Yi

We study the theoretical structure of compositeness with explicit energy dependence, and find a possible explanation for the difficulty in the interpretation of compositeness of deuteron. Compositeness of deuteron is calculated as larger…

High Energy Physics - Phenomenology · Physics 2024-04-08 Zanpeng Yin , Daisuke Jido

A new type of combinations of Bernstein operators is given in [1]. Here, we introduce another one, which can be used to approximate the functions with singularities. The direct and inverse results of the weighted approximation of this new…

Functional Analysis · Mathematics 2011-06-28 Wen-ming Lu , Lin Zhang

Considering the concept of "{\it nonlinear coherent states}", we will study the interference effects by introducing the {\it "superposition of two classes of nonlinear coherent states"} which are $\frac{\pi}{2}$ out of phase. The formalism…

Quantum Physics · Physics 2011-12-30 O. Abbasi , M. K. Tavassoly

Mixed states are introduced in physics in order to express our ignorance about the actual state of a physical system and are represented in standard quantum mechanics (QM) by density operators. Such operators also appear if one considers a…

Quantum Physics · Physics 2014-11-13 Claudio Garola , Sandro Sozzo

Models of neutron stars are considered in the case of a uniform density distribution. An algebraic equation, valid for any equation of state, is obtained. This equation allows one to find the approximate mass of a star of a given density…

High Energy Astrophysical Phenomena · Physics 2023-11-14 G. S. Bisnovatyi-Kogan , E. A. Patraman

Quantum coherence is important in quantum mechanics, and its essence is from superposition principle. We study the coherence of any two pure states and that of their arbitrary superposition, and obtain the relationship between them. In the…

Quantum Physics · Physics 2016-05-25 Qiu-Ling Yue , Chao-Hua Yu , Feng Liu , Xiao-Li Wang , Fei Gao , Qiao-Yan Wen

Nowadays the question `what is complexity?' is a challenge to be answered. This question is triggering a great quantity of works in the frontier of physics, biology, mathematics and computer science. Even more when this century has been…

Chaotic Dynamics · Physics 2010-09-03 Ricardo Lopez-Ruiz , Juan R. Sanchez

We introduce constellation ensembles, in which charged particles on a line (or circle) are linked with charged particles on parallel lines (or concentric circles). We present formulas for the partition functions of these ensembles in terms…

Mathematical Physics · Physics 2022-05-21 Elisha D. Wolff

We consider the problem of state selection for a stochastic system, initially in an unstable stationary state, when multiple metastable states compete for occupation. Using path-integral techniques we derive remarkably simple and accurate…

Statistical Mechanics · Physics 2008-02-03 Martin B. Tarlie , Alan J. McKane
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