scholarly journals Symmetry of the Strong Interaction in the Four-Dimensional Isotopic-Spin Space and in the Three-Dimensional κ-Space

1961 ◽  
Vol 26 (2) ◽  
pp. 231-250 ◽  
Author(s):  
Seitaro Nakamura ◽  
Shigeo Sato
Keyword(s):  
Strong Interaction ◽  
Three Dimensional ◽  
Isotopic Spin ◽  
Spin Space

New isotopic spin space and classification of elementary particles

1960 ◽  
Vol 18 (2) ◽  
pp. 209-228 ◽  
Author(s):  
P. Hillion ◽  
J. P. Vigier
Keyword(s):  
Elementary Particles ◽  
Isotopic Spin ◽  
Spin Space

Operators and Observables in Isotopic Spin Space

1954 ◽  
Vol 93 (6) ◽  
pp. 1395-1400 ◽  
Author(s):  
Leslie L. Foldy
Keyword(s):  
Isotopic Spin ◽  
Spin Space

scholarly journals Topotactic transformation of homogeneous phosphotungastomolybdic acid materials to heterogeneous solid acid catalyst for carbohydrate conversion to alkyl methylfurfural and alkyl levulinate

RSC Advances ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 705-718 ◽  
Author(s):  
Dinesh Gupta ◽  
Chandrakant Mukesh ◽  
Kamal K. Pant
Keyword(s):  
Strong Interaction ◽  
Transition Metal Oxides ◽  
Solid Acid ◽  
Solid Acid Catalyst ◽  
Three Dimensional ◽  
Acid Catalyst ◽  
Materials By Design ◽  
Alkyl Levulinate ◽  
Topotactic Transformation ◽  
Heterogeneous Solid

The strong interaction of higher transition metal oxides with inorganic non-metals can be promising for generating highly acidic three-dimensional materials by design.

A COVARIANT GENERALIZATION OF BERRY’S PHASE

1989 ◽  
Vol 04 (12) ◽  
pp. 1143-1149 ◽  
Author(s):  
Y.Q. CAI ◽  
G. PAPINI
Keyword(s):  
Proper Time ◽  
Rest Mass ◽  
Gauge Fields ◽  
Isotopic Spin ◽  
Spin Space ◽  
Abelian Gauge ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Degenerate Eigenvalues

A covariant generalization of Berry’s phase is obtained from the proper time Schrödinger equation in which the role of Hamiltonian is played by the rest mass square operator. When this has degenerate eigenvalues, non-Abelian gauge fields arise in the manner shown by Wilczek and Zee for non-relativistic systems. The manifold of degenerate states corresponds to isotopic spin space.

scholarly journals Electron Trembling as a Result of Its Stationary Motion in an Extra Space along Helical Line of the Compton Radius with the Speed of Light (“Zitterbewegung’’ in Multidimensional Space)

2020 ◽  
pp. 48-52
Author(s):  
Igor A. Urusovskii
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Multidimensional Space ◽  
Isotopic Spin ◽  
Dimensional Sphere ◽  
Helical Line ◽  
Theory Of Relativity ◽  
Speed Of Light ◽  
Cpt Symmetry ◽  
Klein Gordon

Because there is additional space in which the observed three-dimensional Universe expands, it is believed that elementary particles move at the speed of light in full space in a vicinity of a hyper-surface of three-dimensional sphere that is our Universe. Any interpretation of a spin and isotopic spin of electron requires at least three additional spatial dimensions. As applied to six-dimensional space, the simplest interpretation of the Heisenberg’s uncertainties relation, de Broglie waves, Klein-Gordon equation, electron proper magnetic moment, CPT-symmetry, spin, and isotopic spin is consistent with the results of the theory of relativity and quantum mechanics. Taking into account the movement of elementary particle (at the speed of light) along a helical line of Compton radius, when the axis of the helix is placed on that hyper-surface, we find a trajectory of the particle.

Relation of Isotopic Spin Space to Space-Time

1957 ◽  
Vol 106 (3) ◽  
pp. 595-597 ◽  
Author(s):  
R. L. Ingraham
Keyword(s):  
Space Time ◽  
Isotopic Spin ◽  
Spin Space

scholarly journals Symmetries in Isotopic Spin Space and the Charge Operator

1956 ◽  
Vol 102 (6) ◽  
pp. 1684-1685 ◽  
Author(s):  
B. d'Espagnat ◽  
J. Prentki
Keyword(s):  
Isotopic Spin ◽  
Spin Space ◽  
Charge Operator

Based on Cult3D of Virtual Reality Technology Applied Research

2012 ◽  
Vol 466-467 ◽  
pp. 636-639
Author(s):  
Shi Wei Jin ◽  
Ying Nan Zhao ◽  
Zhi Wu
Keyword(s):  
Virtual Reality ◽  
Strong Interaction ◽  
Applied Research ◽  
Optimization Technique ◽  
Three Dimensional ◽  
Optimization Strategy ◽  
Virtual Reality Technology ◽  
High Compression ◽  
Java Programs ◽  
Cross Platform

Cult3D is a widely used Web3D implementation technology recently, which with high compression, strong interaction, cross-platform advantages.JAS is a set of java programs which has been compiled, combining with Cult3D, it can make three-dimensional development of the network in a more fast, convenient, efficient way. This paper introduces many Optimization Technique when making Cult3D development, especially introduce the optimization strategy on the Cult3D products which use the JAS technique.

Sign in / Sign up

Export Citation Format

Share Document