scholarly journals Group Theoretical Description of the Periodic System

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 137
Author(s):  
Vadim V. Varlamov ◽  
Larisa D. Pavlova ◽  
Olga S. Babushkina
Keyword(s):  
Quantum System ◽  
Periodic System ◽  
Energy Operator ◽  
Mass Splitting ◽  
Theoretical Description ◽  
Conformal Group ◽  
Theoretic Approach ◽  
Single Quantum ◽  
Fundamental Symmetry ◽  
Basic Representation

The group theoretical description of the periodic system of elements in the framework of the Rumer–Fet model is considered. We introduce the concept of a single quantum system, the generating core of which is an abstract C*-algebra. It is shown that various concrete implementations of the operator algebra depend on the structure of the generators of the fundamental symmetry group attached to the energy operator. In the case of the generators of the complex shell of a group algebra of a conformal group, the spectrum of states of a single quantum system is given in the framework of the basic representation of the Rumer–Fet group, which leads to a group-theoretic interpretation of the Mendeleev’s periodic system of elements. A mass formula is introduced that allows giving the termwise mass splitting for the main multiplet of the Rumer–Fet group. The masses of elements of the Seaborg table (eight-periodic extension of the Mendeleev table) are calculated starting from the atomic number Z=3 and going to Z=220. The continuation of the Seaborg homology between lanthanides and actinides is established with the group of superactinides. A 10-periodic extension of the periodic table is introduced in the framework of the group-theoretic approach. The multiplet structure of the extended table’s periods is considered in detail. It is shown that the period lengths of the system of elements are determined by the structure of the basic representation of the Rumer–Fet group. The theoretical masses of the elements of 10th and 11th periods are calculated starting from Z=221 and going to to Z=364. The concept of hypertwistor is introduced.

scholarly journals Get Rid of Nonlocality from Quantum Physics

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 806 ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Quantum Theory ◽  
Quantum System ◽  
Quantum Physics ◽  
Single Photon ◽  
Statistical Tests ◽  
Hidden Variables ◽  
Single Electron ◽  
Quantum Nonlocality ◽  
Single Quantum ◽  
Complementarity Principle

This paper is aimed to dissociate nonlocality from quantum theory. We demonstrate that the tests on violation of the Bell type inequalities are simply statistical tests of local incompatibility of observables. In fact, these are tests on violation of the Bohr complementarity principle. Thus, the attempts to couple experimental violations of the Bell type inequalities with “quantum nonlocality” is really misleading. These violations are explained in the quantum theory as exhibitions of incompatibility of observables for a single quantum system, e.g., the spin projections for a single electron or the polarization projections for a single photon. Of course, one can go beyond quantum theory with the hidden variables models (as was suggested by Bell) and then discuss their possible nonlocal features. However, conventional quantum theory is local.

scholarly journals Giant acoustic atom: A single quantum system with a deterministic time delay

2017 ◽  
Vol 95 (5) ◽  
Author(s):  
Lingzhen Guo ◽  
Arne Grimsmo ◽  
Anton Frisk Kockum ◽  
Mikhail Pletyukhov ◽  
Göran Johansson
Keyword(s):  
Time Delay ◽  
Quantum System ◽  
Single Quantum

Nonlinear Spectroscopy on a Single Quantum System: Two-Photon Absorption of a Single Molecule

Science ◽  
1996 ◽  
Vol 271 (5256) ◽  
pp. 1703-1705 ◽  
Author(s):  
T. Plakhotnik ◽  
D. Walser ◽  
M. Pirotta ◽  
A. Renn ◽  
U. P. Wild
Keyword(s):  
Quantum System ◽  
Single Molecule ◽  
Nonlinear Spectroscopy ◽  
Photon Absorption ◽  
Single Quantum ◽  
Two Photon Absorption ◽  
Two Photon

scholarly journals Conformal group theory of tensor structures

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Ilija Burić ◽  
Volker Schomerus ◽  
Mikhail Isachenkov
Keyword(s):  
Correlation Functions ◽  
Conformal Group ◽  
Wave Functions ◽  
Dimensional Euclidean Space ◽  
Theoretic Approach ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Local Operators ◽  
Indispensable Tool ◽  
Systematic Derivation

Abstract The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are functions of cross ratios only, and the correlation functions that depend on insertion points in the d-dimensional Euclidean space. Here we develop an entirely group theoretic approach to tensor structures, based on the Cartan decomposition of the conformal group. It provides us with a new universal formula for tensor structures and thereby a systematic derivation of crossing equations. Our approach applies to a ‘gauge’ in which the conformal blocks are wave functions of Calogero-Sutherland models rather than solutions of the more standard Casimir equations. Through this ab initio construction of tensor structures we complete the Calogero-Sutherland approach to conformal correlators, at least for four-point functions of local operators in non-supersymmetric models. An extension to defects and superconformal symmetry is possible.

scholarly journals Theoretical Description of Pulsed RYDMR: Refocusing Zero-Quantum and Single Quantum Coherences

2017 ◽  
Vol 231 (2) ◽  
Author(s):  
Egor A. Nasibulov ◽  
Jan Behrends ◽  
Leonid V. Kulik ◽  
Konstantin L. Ivanov
Keyword(s):  
Magnetic Resonance ◽  
Organic Semiconductors ◽  
Spin Echo ◽  
Pulse Sequences ◽  
Theoretical Description ◽  
Reaction Yield ◽  
Single Quantum ◽  
Paramagnetic Resonance ◽  
Product Operator ◽  
Electron Paramagnetic

AbstractA theoretical description of pulsed reaction yield detected magnetic resonance (RYDMR) is proposed. In RYDMR, magnetic resonance spectra of radical pairs (RPs) are indirectly detected by monitoring their recombination yield. Such a detection method is significantly more sensitive than conventional electron paramagnetic resonance (EPR), but design of appropriate pulse sequences for RYDMR requires additional effort because of a different observable. In this work various schemes for generating spin-echo like signals and detecting them by RYDMR are treated. Specifically, we consider refocusing of zero-quantum coherences (ZQCs) and single-quantum coherences (SQCs) by selective as well as by non-selective pulses and formulate a general analytical approach to pulsed RYDMR, which makes an efficient use of the product operator formalism. We anticipate that these results are of importance for RYDMR studies of elusive paramagnetic particles, notably, in organic semiconductors.

Impossibility of Measuring the Wave Function of a Single Quantum System

1996 ◽  
Vol 76 (16) ◽  
pp. 2832-2835 ◽  
Author(s):  
G. M. D'Ariano ◽  
H. P. Yuen
Keyword(s):  
Wave Function ◽  
Quantum System ◽  
Single Quantum

scholarly journals Process tomography via sequential measurements on a single quantum system

2015 ◽  
Vol 92 (3) ◽  
Author(s):  
Humairah Bassa ◽  
Sandeep K. Goyal ◽  
Sujit K. Choudhary ◽  
Hermann Uys ◽  
Lajos Diósi ◽  
...  
Keyword(s):  
Quantum System ◽  
Single Quantum ◽  
Process Tomography ◽  
Sequential Measurements

scholarly journals Mass at rest after quantum information

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
General Relativity ◽  
Quantum Information ◽  
Standard Model ◽  
Quantum System ◽  
Reference Frame ◽  
Big Bang ◽  
Single Quantum ◽  
The Standard Model ◽  
The Axiom Of Choice ◽  
The Big Bang

The way, in which quantum information can unify quantum mechanics (and therefore the Standard model) and general relativity, is investigated. Quantum information is defined as the generalization of the concept of information as to the choice among infinite sets of alternatives. Relevantly, the axiom of choice is necessary in general. The unit of quantum information, a qubit is interpreted as a relevant elementary choice among an infinite set of alternatives generalizing that of a bit. The invariance to the axiom of choice shared by quantum mechanics is introduced: It constitutes quantum information as the relation of any state unorderable in principle (e.g. any coherent quantum state before measurement) and the same state already well-ordered (e.g. the well-ordered statistical ensemble of the measurement of the quantum system at issue). This allows of equating the classical and quantum time correspondingly as the well-ordering of any physical quantity or quantities and their coherent superposition. That equating is interpretable as the isomorphism of Minkowski space and Hilbert space. Quantum information is the structure interpretable in both ways and thus underlying their unification. Its deformation is representable correspondingly as gravitation in the deformed pseudo-Riemannian space of general relativity and the entanglement of two or more quantum systems. The Standard model studies a single quantum system and thus privileges a single reference frame turning out to be inertial for the generalized symmetry U(1)XSU(2)XSU(3) “gauging” the Standard model. As the Standard model refers to a single quantum system, it is necessarily linear and thus the corresponding privileged reference frame is necessary inertial. The Higgs mechanism U(1) → U(1)XSU(2) confirmed enough already experimentally describes exactly the choice of the initial position of a privileged reference frame as the corresponding breaking of the symmetry. The Standard model defines ‘mass at rest’ linearly and absolutely, but general relativity non-linearly and relatively. The “Big Bang” hypothesis is additional interpreting that position as that of the “Big Bang”. It serves also in order to reconcile the linear Standard model in the singularity of the “Big Bang” with the observed nonlinearity of the further expansion of the universe described very well by general relativity. Quantum information links the Standard model and general relativity in another way by mediation of entanglement. The linearity and absoluteness of the former and the nonlinearity and relativeness of the latter can be considered as the relation of a whole and the same whole divided into parts entangled in general

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