scholarly journals Relations between Clifford Algebra and Dirac Matrices in the Presence of Families

Particles ◽  
2020 ◽  
Vol 3 (3) ◽  
pp. 518-531
Author(s):  
Dragan Lukman ◽  
Mickael Komendyak ◽  
Norma Susana Mankoč Borštnik
Keyword(s):  
Clifford Algebra ◽  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Family Members ◽  
Matrix Representations ◽  
Quantum Numbers ◽  
The Family ◽  
Family Theory ◽  
The Matrix ◽  
Basis Vectors

The internal degrees of freedom of fermions are in the spin-charge-family theory described by the Clifford algebra objects, which are superposition of an odd number of γ a ’s. Arranged into irreducible representations of “eigenvectors” of the Cartan subalgebra of the Lorentz algebra S a b ( = i 2 γ a γ b | a ≠ b ) these objects form 2 d 2 − 1 families with 2 d 2 − 1 family members each. Family members of each family offer the description of all the observed quarks and leptons and antiquarks and antileptons, appearing in families. Families are reachable by S ˜ a b = 1 2 γ ˜ a γ ˜ b | a ≠ b . Creation operators, carrying the family member and family quantum numbers form the basis vectors. The action of the operators γ a ’s, S a b , γ ˜ a ’s and S ˜ a b , applying on the basis vectors, manifests as matrices. In this paper the basis vectors in d = ( 3 + 1 ) Clifford space are discussed, chosen in a way that the matrix representations of γ a and of S a b coincide for each family quantum number, determined by S ˜ a b , with the Dirac matrices. The appearance of charges in Clifford space is discussed by embedding d = ( 3 + 1 ) space into d = ( 5 + 1 ) -dimensional space. The achievements and predictions of the spin-charge-family theory is also shortly presented.

scholarly journals Lattice Clifford fractons and their Chern-Simons-like theory

2021 ◽  
Vol 4 (2) ◽  
Author(s):  
Weslei Fontana ◽  
Pedro Gomes ◽  
Claudio Chamon
Keyword(s):  
Clifford Algebra ◽  
Degrees Of Freedom ◽  
Quantum Hall ◽  
Effective Theory ◽  
Matrix Representations ◽  
Quantum Hall States ◽  
Dirac Matrix ◽  
Spatial Dimensions ◽  
K Matrix ◽  
Chern Simons

We use Dirac matrix representations of the Clifford algebra to build fracton models on the lattice and their effective Chern-Simons-like theory. As an example, we build lattice fractons in odd D spatial dimensions and their (D+1) spacetime dimensional effective theory. The model possesses an anti-symmetric K matrix resembling that of hierarchical quantum Hall states. The gauge charges are conserved in sub-dimensional manifolds which ensures the fractonic behavior. The construction extends to any lattice fracton model built from commuting projectors and with tensor products of spin-1/2 degrees of freedom at the sites.

scholarly journals Quantum-Mechanical Substantiation of the Periodic System of Isotopes. Models of Nuclear Orbitals

2021 ◽  
pp. 1-26
Author(s):  
AS Magula ◽  
Keyword(s):  
Periodic System ◽  
Degrees Of Freedom ◽  
Nucleon Nucleon ◽  
Quantum Mechanical ◽  
Spherical Coordinate ◽  
Crystal Forms ◽  
Electromagnetic Interactions ◽  
Quantum Numbers ◽  
The Family ◽  
Fundamental Cause

The topic of this article lies in the field of problems: substantiating the periodic system of isotopes and the principle of multilevel periodicity using quantum mechanical calculations, combining strong and electromagnetic interactions, and searching for the fundamental cause of periodicity in general. This article is a theoretical section and a continuation of the article: "Periodic system of isotopes", in which the system was checked against 10 types of experimental data, the periodic change of properties at the level of nuclei and the vertical symmetry of subgroups of isotopes were found. Periodic system of isotopes was constructed with the help of a special algorithm, the principle of multilevel periodicity of the atom, from the electrons to the nucleus. As a description of the multilevel periodicity, this paper presents a unified system of quantum numbers, which is used to describe both electron and nucleon shells (binomial probabilistic interpretation). With the binomial interpretation the problem of a particle in a one-dimensional potential well has been solved; quantummechanical calculations for the probability functions of the orbitals and periods of both electrons and nucleons have been performed - characteristic equations have been obtained, the projections of electronic orbitals have been reproduced and the binomial interpretation has been shown to correspond to the family of spherical harmonics. For the electron orbitals the calculation and analysis of solutions of the Schrödinger equation for the binomial interpretation of quantum numbers have been performed. The spatial nature of quantum numbers, for this interpretation, in the form of degrees of freedom is shown. Based on the principle of multilevel periodicity, expressions are derived and planar projections of nucleon nucleon orbitals are constructed, and similarity of the forms with electron orbitals is analyzed and revealed. A critical analysis of the modern spherical coordinate system was made, possible errors in the construction of electron orbitals were shown and, taking into account the drawbacks, two alternative spherical coordinate systems were proposed, for which Lame coefficients were calculated and Laplace equations were derived. As a search for the fundamental cause of multilevel periodicity, a spatial model with changing degrees of freedom 0-n is presented, its manifestation in nature (crystal forms) is found; a number of experiments are proposed; the predictions about the applicability of the multilevel periodicity principle in quark theory are made

Modeling Spatial Displacements Using Clifford Algebra

2003 ◽  
Vol 126 (3) ◽  
pp. 420-424 ◽  
Author(s):  
Glen Mullineux
Keyword(s):  
Euclidean Space ◽  
Clifford Algebra ◽  
Geometric Algebra ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Real Numbers ◽  
B Spline ◽  
Spatial Displacements ◽  
Basis Vectors ◽  
Three Dimensional Space

This paper looks at the use of a Clifford (or geometric) algebra for handling both rotations and translations in Euclidean space. The algebra is constructed over the real numbers using four basis vectors. Three of these generate a subalgebra which models three-dimensional space; the fourth acts as a projective coordinate. Spatial displacements are represented by bivectors of a certain form. The application to the generation of smooth motions using Be´zier and B-spline techniques is illustrated.

scholarly journals Über der Kopplung von Schwingungsfreiheitsgraden an die Koordinate intramolekularer Umlagerungen / Coupling of Vibrational Degrees of Freedom lo the Coordinate of Intramolecular Rearrangements

1973 ◽  
Vol 28 (11) ◽  
pp. 1759-1781 ◽  
Author(s):  
J. Brickmann
Keyword(s):  
Degrees Of Freedom ◽  
Energy Surface ◽  
Quantum Mechanical ◽  
Matrix Elements ◽  
Damping Term ◽  
Intramolecular Rearrangements ◽  
Quantum Numbers ◽  
The Matrix ◽  
Localized Quantum States ◽  
Internal Degrees Of Freedom

Intramolecular rearrangements A ⇌ B are investigated, which can be described in terms of the motion of an effective quantum mechanical ‘‘particle’’ on an energy surface with at least two minima. We regard the energy surface as a function of a limited number of relevant internal degrees of freedom. The rate of isomerization is calculated from the matrix elements of a transition operator W with respect to the localized quantum states of the two isomers, and the coupling to the inter- and intramolecular degrees of freedom, not explizitely considered in the energy surface. It is shown that the matrixelements of W be reduced to integrals over functions of the adiabatic reaction coordinate of the isomerization, and selection rules for the vibrational quantum numbers for the motion perpendicular to this coordinate. The degrees of freedom not relevant for the reaction are summarily taken into account by introducing a heath bath in thermodynamic equilibrium and a simple damping term. Applications are discussed.

The motion of a lunar orbiter

1966 ◽  
Vol 25 ◽  
pp. 373
Author(s):  
Y. Kozai
Keyword(s):  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Triaxial Ellipsoid ◽  
The Moon ◽  
Secular Motion ◽  
The Earth ◽  
Close Satellite ◽  
The Mean

The motion of an artificial satellite around the Moon is much more complicated than that around the Earth, since the shape of the Moon is a triaxial ellipsoid and the effect of the Earth on the motion is very important even for a very close satellite.The differential equations of motion of the satellite are written in canonical form of three degrees of freedom with time depending Hamiltonian. By eliminating short-periodic terms depending on the mean longitude of the satellite and by assuming that the Earth is moving on the lunar equator, however, the equations are reduced to those of two degrees of freedom with an energy integral.Since the mean motion of the Earth around the Moon is more rapid than the secular motion of the argument of pericentre of the satellite by a factor of one order, the terms depending on the longitude of the Earth can be eliminated, and the degree of freedom is reduced to one.Then the motion can be discussed by drawing equi-energy curves in two-dimensional space. According to these figures satellites with high inclination have large possibilities of falling down to the lunar surface even if the initial eccentricities are very small.The principal properties of the motion are not changed even if plausible values ofJ3andJ4of the Moon are included.This paper has been published in Publ. astr. Soc.Japan15, 301, 1963.

POLA PENDIDIKAN AGAMA DALAM KELUARGA JAMA’AH TABLIGH DI DESA BOLANG KECAMATAN DAYEUHLUHUR KABUPATEN CILACAP

2019 ◽  
Vol 20 (2) ◽  
pp. 283-298
Author(s):  
Kholid Mawardi ◽  
Cucu Nurzakiyah
Keyword(s):  
Religious Education ◽  
Adult Children ◽  
Daily Activity ◽  
Family Members ◽  
Special Study ◽  
Children's Education ◽  
The Family ◽  
Children’S Education ◽  
The Village

The results of the study found that the responsibility of religious education of children in the family of Tablighi Jama'ah differed in terms of several conditions, namely first, when parents were not going to khuruj where both parents were responsible for children's education; secondly, when the father goes khuruj, then the mother is responsible for everything including children's education; third, when both parents go khuruj, then the responsibility of the child is left to other family members such as grandparents or their first adult children; and fourth, when the child goes to khuruj, where parents are responsible for children's religious education both mother and father. The pattern of the religious education in the Tablighi Jama'ah family in the village of Bolang is formed from several similarities held in the implementation of religious education, one of which is the daily activity that is carried out by the Tablighi Jama'at family. Al-Qur'an becomes one of the material given to children in the ta'lim. Children are taught how to read the Qur'an and memorize short letters such as Surat al-Falaq, al-Ikhlas, and so on. In addition to al-Qur'an, in this ta'lim there is a special study in the Tablighi Jama'ah, which is reading the book of fadhilah ‘amal, and the last is mudzakarah six characteristics.

Information Practices of Baby Boomers as Caregivers

2013 ◽  
Author(s):  
Khuan Seow ◽  
Nadia Caidi
Keyword(s):  
Social Policy ◽  
Baby Boomers ◽  
Information Needs ◽  
Family Members ◽  
Age Groups ◽  
Maladie D’Alzheimer ◽  
Policy Makers ◽  
Age Related ◽  
The Family ◽  
Growing Age

Canada has an aging population with the fastest growing age groups (80 and 45-64 years old) vulnerable to age-related diseases such as Alzheimer’s disease. Caregiving responsibilities often fall to the family members of the afflicted without much attention and consideration being placed on the information needs of these caregivers. We call for a better understanding of these caregivers' information needs and uses by social policy makers as well as information providers.La population du Canada a tendance à vieillir considérablement, avec la hausse la plus rapide dans les groupes d’âge (80 et 45 à 64 ans). Les personnes âges sont très vulnérables à toute sorte de maladies, telles que la maladie d’Alzheimer. La responsabilité revient souvent aux membres de la famille qui doivent prendre soin des personnes atteintes de cette maladie. Or, nous ne connaissons que peu de chose sur les besoins en information des personnes qui prennent soin de ces malades de l’Alzheimer : qui sont-ils ? Quelles sont leurs sources... 

Pengaruh Penyuluhan Terhadap Respon Psikososial Keluarga Pasien Yang Dirawat Di Ruang Icu Rsud Dr.Sosodoro Djatikoesumo Bojonegoro

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Maslichah Maslichah ◽  
Bayu Akbar Khayudin ◽  
Ikha Ardianti
Keyword(s):  
Health Workers ◽  
Family Members ◽  
T Test ◽  
Family Counseling ◽  
Test Design ◽  
Significance Level ◽  
Paired Sample ◽  
The Family ◽  
Post Test ◽  
Psychosocial Responses

ABSTRAK Pasien yang dirawat di ICU pada umumnya mengalami sakit kritis biasanya hal ini akan menimbulkan bebagai  respons psikososial  dari anggota keluarganya. Respons ini dapat berupa respons positif maupun respons negatif. Salah satu cara agar respons psikososial menjadi positif yaitu memberikan penyuluhan kepada keluarga pasien agar ada peningkatan kognisi dan emosi. Desain penelitian ini menggunakan metode “Pre-Experiment”, dengan rancangan “One group pra-post test design”. Dengan populasi semua keluarga yang anggota keluarganya dirawat di Ruang ICU RSUD.dr.Sosodoro Djatikoesumo. Sampel diambil dengan proses Total Sampling. Variabel independen  yaitupenyuluhan keluarga pasien ICU, dan variabel dependen adalah respon psikososial keluarga pasien. Pengumpulan data menggunakan kuesioner. hasil penelitian yang dilakukan dengan uji statistik paired sample t-test, pada tingkat signifikansi diperoleh nilai 0,027 0,05 maka Ho ditolak dan H1 diterimaPerawat sebagai tenaga kesehatan yang harus selalu mengembangkan profesionalisme, perlu mengupayakan agar respons psikososial keluarga yang negatif dapat ditekan. Salah satu upayanya yaitu adalah memberikan penyuluhan kepada keluarga. Dalam penyuluhan akan diberikan: komunikasi, informasi, edukasi dan support. Kata Kunci : Penyuluhan, Respon Psikososial Keluarga  ABSTRACT Patients admitted to the ICU in general suffer from a critical illness usually this will lead to the kinds of psychosocial responses of family members. This response can be either a positive response or a negative response. One way to be positive psychosocial responses that provide counseling to the patient's family that there was an increase in cognition and emotion.This study design using the "Pre-Experiment", the draft "One group pre-post test design". With a population of all the families who have family members admitted to the ICU RSUD.dr.Sosodoro Djatikoesumo. Samples were taken with total sampling process. Independent variables, family counseling ICU patients, and the dependent variable is the family of the patient's psychosocial response. Collecting data using questionnaires. results of research conducted by the statistical test paired sample t-test, at a significance level obtained value 0,027 0,05 hence Ho refused and H1 accepted.Nurses as health workers must always develop professionalism, needs to strive for psychosocial response can be suppressed negative family. One of the efforts that are giving counseling to the family. In the extension will be granted: communication, information, education and support. Keywords: Counseling, Family Psychosocial Response

Betwixt and Between

2018 ◽  
Author(s):  
Shenique S. Thomas ◽  
Johnna Christian
Keyword(s):  
Sense Of Belonging ◽  
Minority Groups ◽  
Family Members ◽  
Social Processes ◽  
Ethnic Minority Groups ◽  
The Social ◽  
The Family ◽  
Incarcerated Men ◽  
Challenges And Opportunities ◽  
Racial And Ethnic Minority

This chapter draws from a qualitative study of incarcerated men to investigate the social processes and interactions between both correctional authorities and family members that inform their sense of belonging and legitimacy. It reveals that prison visitation rooms present a complex environment in which incarcerated men have access to discreet periods of visibility and relevance to their family members and the broader community. There are, however, several precarious aspects to these processes. The family members who are central to enhancing men’s visibility and legitimacy are primarily women from economically disadvantaged, racial, and ethnic minority groups, resulting in their own marginalization, which is compounded within prison spaces. By illuminating both the challenges and opportunities of familial connections, this chapter informs a social justice framework for understanding the experiences of both incarcerated men and their family members.

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