Decoherence in an Isolated Macroscopic Quantum System: A Parameter-Free Model Involving Gravity

Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on ‘Quantum knots and mosaics’ to give a precise and workable definition of quantum knots, intended to represent an actual physical quantum system. A knot [Formula: see text]-mosaic is an [Formula: see text] matrix whose entries are eleven mosaic tiles, representing a knot or a link by adjoining properly. In this paper, we introduce two variants of knot mosaics: period knot mosaics and toroidal knot mosaics, which are common features in physics and mathematics. We present an algorithm producing the exact enumeration of period knot [Formula: see text]-mosaics for any positive integers [Formula: see text] and [Formula: see text], toroidal knot [Formula: see text]-mosaics for co-prime integers [Formula: see text] and [Formula: see text], and furthermore toroidal knot [Formula: see text]-mosaics for a prime number [Formula: see text]. We also analyze the asymptotics of the growth rates of their cardinality.

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EXACT CANONICALLY CONJUGATE MOMENTA APPROACH TO AN SU(N) QUANTUM SYSTEM

International Journal of Modern Physics A ◽

10.1142/s0217751x98002523 ◽

1998 ◽

Vol 13 (32) ◽

pp. 5535-5556 ◽

Cited By ~ 2

Author(s):

SEIYA NISHIYAMA

Keyword(s):

Quantum System ◽

Natural Extension ◽

Integral Equation Method ◽

Collective Variables ◽

Canonical Variables ◽

System A ◽

Symmetric Quantum ◽

Collective Hamiltonian ◽

Field Formalism ◽

Derivatives Of

The collective field formalism by Jevicki and Sakita is a useful approach to the problem of treating general planar diagrams involved in an SU (N) symmetric quantum system. To approach this problem, standing on the Tomonaga spirit we also previously developed a collective description of an SU (N) symmetric Hamiltonian. However, this description has the following difficulties: (i) Collective momenta associated with the time derivatives of collective variables are not exact canonically conjugate to the collective variables; (ii) The collective momenta are not independent of each other. We propose exact canonically conjugate momenta to the collective variables with the aid of the integral equation method developed by Sunakawa et al. A set of exact canonical variables which are derived by the first quantized language is regarded as a natural extension of the Sunakawa et al.'s to the case for the SU (N) symmetric quantum system. A collective Hamiltonian is represented in terms of the exact canonical variables up to the order of [Formula: see text].

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Accidental degeneracy in a simple quantum system: A new symmetry group for a particle in an impenetrable square-well potential

American Journal of Physics ◽

10.1119/1.18734 ◽

1997 ◽

Vol 65 (11) ◽

pp. 1087-1094 ◽

Cited By ~ 15

Author(s):

F. Leyvraz ◽

A. Frank ◽

R. Lemus ◽

M. V. Andrés

Keyword(s):

Quantum System ◽

Symmetry Group ◽

System A ◽

Simple Quantum ◽

Accidental Degeneracy ◽

Square Well

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Spontaneous-emission feedback in a three-level quantum system: A case of conflict between semi-classical and quantum theories of radiation

Il Nuovo Cimento B ◽

10.1007/bf02738642 ◽

1973 ◽

Vol 14 (1) ◽

pp. 104-126 ◽

Cited By ~ 1

Author(s):

G. Oliver ◽

O. Atabek

Keyword(s):

Quantum System ◽

Spontaneous Emission ◽

Quantum Theories ◽

System A

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The value of value: A quantum approach to economics, security and international relations

Security Dialogue ◽

10.1177/0967010620901910 ◽

2020 ◽

Vol 51 (5) ◽

pp. 482-498 ◽

Cited By ~ 1

Author(s):

David Orrell

Keyword(s):

Social Science ◽

International Relations ◽

Quantum System ◽

Special Role ◽

Economic Exchange ◽

Global Level ◽

Macroscopic Quantum ◽

Mainstream Economics ◽

Fuzzy Concept ◽

Quantum Approach

Money objects, from coins to bitcoins, are used in economic exchange as a way of putting a number on the fuzzy concept of worth or value. They are inherently dualistic in that they combine the properties of abstract numbers with the properties of owned objects. As a result of this duality at its core, the money system exhibits the properties of a macroscopic quantum system, including entanglement, indeterminacy and interference, with money objects playing a special role as a measurement device. This article argues that, by virtue of its dualistic nature, money acts as a vector of transmission that scales up the properties of quantum mind to the global level. By bringing money back into the picture and providing an alternative to the mechanistic vision of mainstream economics, quantum social science promises to change the way we see and treat the economy, with implications for international relations and security.

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