3N bound state formalism based on 3N free basis states

The Flavor Group ∆(3n)

The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the Standard Model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, ∆(3n2). Using simple mathematical techniques, we derive its conjugacy classes, character table, build its irreducible representations, their Kronec...

A New Treatment of 2N and 3N Bound States in Three Dimensions

The direct treatment of the Faddeev equation for the three-boson system in 3 dimensions is generalized to nucleons. The one Faddeev equation for identical bosons is replaced by a strictly finite set of coupled equations for scalar functions which depend only on 3 variables. The spin-momentum dependence occurring as scalar products in 2N and 3N forces accompanied by scalar functions is supplemen...

Quantum circuits and Spin(3n) groups

All quantum gates with one and two qubits may be described by elements of Spin groups due to isomorphisms Spin(3) ≃ SU (2) and Spin(6) ≃ SU (4). However, the group of n-qubit gates SU (2 n) for n > 2 has bigger dimension than Spin(3n). A quantum circuit with one-and two-qubit gates may be used for construction of arbitrary unitary transformation SU (2 n). Analogously, the 'Spin(3n) circuits' ar...

3N-Q: Natural Nearest Neighbor with Quality

In this paper, a novel algorithm for enhancing the performance of classification is proposed. This new method provides rich information for clustering and outlier detection. We call it Natural Nearest Neighbor with Quality (3N-Q). Comparing to K-nearest neighbor and E-nearest neighbor, 3N-Q employs a completely different concept to find the nearest neighbors passively, which can adaptively and ...

Extension of Continuous Functions in /3n