Abstract We consider a theory of quantum thermodynamics with multiple conserved quantities (or charges). To this end, we generalize the seminal results Sparaciari et al. (Phys. Rev. A 96:052112, 2017) to case multiple, in general non-commuting charges, for which formulate resource asymptotically many non-interacting systems. every state associate vector its expected charge values and entropy, f...

A new method for coset enumeration in symmetrically generated groups is presented. This method is based on a Gröbner bases algorithm applied to polynomials in non-commuting variables with integer coefficients. Mathematics Subject Classification: 05A05; 20B05; 20B40

Vortex dynamics in a thin superfluid 4He film as well as in a type II superconductor is described by the classical counterpart of the model advocated by Peierls, and used for deriving the ground states of the Fractional Quantum Hall Effect. The model has non-commuting coordinates, and is obtained by reduction from a particle associated with the “exotic” extension of the planar Galilei group. 1 ...

For a finite group G, let Z(G) be the centre of G. Then non-commuting graph on denoted by ΓG, has G\Z(G) as its vertex set with two distinct vertices vp and vq joined an edge whenever vpvq ≠ vqvp. The degree sum matrix is square whose (p,q)-th entry dvp + dvq p different from q, otherwise, it zero, where dvi vi. This study presents general formula for energy, EDS (ΓG), dihedral groups order 2n,...

The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional LeeOehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in Rigged Hilbert space. This can be done for K1 and K2 as well as for KS and KL, depending upon whether one chooses the (self-adjoint, semibounde...

introduction commuting between urban centers and rural areas is a phenomenon that observed in all countries with different social and economic structure. commuting is a new phenomenon in move of population that emerged with metropolis development. this phenomenon is different with other population movement. because this move does not change in residential place, population work in other place. ...