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

1973 ◽  
Vol 14 (1) ◽  
pp. 104-126 ◽  
Author(s):  
G. Oliver ◽  
O. Atabek
Keyword(s):  
Quantum System ◽  
Spontaneous Emission ◽  
Quantum Theories ◽  
System A

scholarly journals Period and toroidal knot mosaics

2017 ◽  
Vol 26 (05) ◽  
pp. 1750031 ◽  
Author(s):  
Seungsang Oh ◽  
Kyungpyo Hong ◽  
Ho Lee ◽  
Hwa Jeong Lee ◽  
Mi Jeong Yeon
Keyword(s):  
Quantum System ◽  
Prime Number ◽  
Growth Rates ◽  
Exact Enumeration ◽  
Common Features ◽  
System A ◽  
Number Formula ◽  
And Mathematics ◽  
Definition Of ◽  
Positive Integers

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.

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

1998 ◽  
Vol 13 (32) ◽  
pp. 5535-5556 ◽  
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].

scholarly journals DERIVATION OF QUANTUM THEORIES: SYMMETRIES AND THE EXACT SOLUTION OF THE DERIVED SYSTEM

1998 ◽  
Vol 13 (16) ◽  
pp. 2833-2840 ◽  
Author(s):  
M. KHORRAMI ◽  
A. AGHAMOHAMMADI ◽  
M. ALIMOHAMMADI
Keyword(s):  
Exact Solution ◽  
Quantum System ◽  
Green Functions ◽  
Quantum Theories ◽  
Original Theory

Based on the technique of derivation of a theory, presented in out recent paper,1 we investigated the properties of the derived quantum system. We show that the derived quantum system possesses the (nonanomalous) symmetries of the original one, and prove that the exact Green functions of the derived theory are expressed in terms of the semiclassically approximated Green functions of the original theory.

scholarly journals Quench dynamics of a dissipative quantum system: A renormalization group study

2013 ◽  
Vol 88 (16) ◽  
Author(s):  
O. Kashuba ◽  
D. M. Kennes ◽  
M. Pletyukhov ◽  
V. Meden ◽  
H. Schoeller
Keyword(s):  
Renormalization Group ◽  
Quantum System ◽  
System A ◽  
Quench Dynamics

Mosaic number of knots

2014 ◽  
Vol 23 (13) ◽  
pp. 1450069 ◽  
Author(s):  
Hwa Jeong Lee ◽  
Kyungpyo Hong ◽  
Ho Lee ◽  
Seungsang Oh
Keyword(s):  
Quantum System ◽  
Upper Bound ◽  
Crossing Number ◽  
System A ◽  
Definition Of ◽  
Hopf Link

Lomonaco and Kauffman developed knot mosaics to give a definition of a quantum knot system. This definition is intended to represent an actual physical quantum system. A knot n-mosaic is an n × n matrix of 11 kinds of specific mosaic tiles representing a knot or a link. The mosaic number m(K) of a knot K is the smallest integer n for which K is representable as a knot n-mosaic. In this paper, we establish an upper bound on the mosaic number of a knot or a link K in terms of the crossing number c(K). Let K be a nontrivial knot or a non-split link except the Hopf link. Then m(K) ≤ c(K) + 1. Moreover if K is prime and non-alternating except [Formula: see text] link, then m(K) ≤ c(K) - 1.

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