Following the spirit of a recent work of one of the authors (J. Phys. A: Math. Theor. 44 (2011) 045301), the essential structure of the generalized Pauli group of a qubit-qudit, where d = 2 and an integer k ≥ 2, is recast in the language of a finite geometry. A point of such geometry is represented by the maximum set of mutually commuting elements of the group and two distinct points are regard...

We establish that the open string star product in the zero momentum sector can be described as a continuous tensor product of mutually commuting two dimensional Moyal star products. Let the continuous variable κ ∈ [ 0,∞) parametrize the eigenvalues of the Neumann matrices; then the noncommutativity parameter is given by θ(κ) = 2 tanh( 4 ). For each κ, the Moyal coordinates are a linear combinat...

"This paper analyses whether the basic monocentric model of urban structure and commuting explains actual commuting in Europe, i.e. The Netherlands. As in the USA much wasteful commuting is established. The basic model has a low degree of explanatory power. In order to get more in line with actual commuting, the paper elaborates two alternatives to the basic model. Besides a deconcentrated mode...

We establish that the open string star product in the zero momentum sector can be described as a continuous tensor product of mutually commuting two dimensional Moyal star products. Let the continuous variable κ ∈ [ 0,∞) parametrize the eigenvalues of the Neumann matrices; then the noncommutativity parameter is given by θ(κ) = 2 tanh( 4 ). For each κ, the Moyal coordinates are a linear combinat...

This paper deals with bases in a finite–dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU2 corresponding to an irreducible representation of SU2. The representation theory of SU2 is reconsidered via the use of two truncated deformed oscillators. This leads to replace the familiar scheme {j2, jz} by a scheme {j2, vra}, where the two–parameter...

The Cartan subalgebra of the quantum loop algebra Uq(Lsl2) is generated by a family of mutually commuting operators, responsible for the l-weight decomposition of finite dimensional Uq(Lsl2)-modules. The natural Jordan filtration induced by these operators is generically non-trivial on l-weight spaces of dimension greater than one. We derive, for every standard module of Uq(Lsl2), the dimension...

We provide a construction of sets of d/2 + 1 mutually unbiased bases (MUBs) in dimensions d = 4, 8 using maximal commuting classes of Pauli operators. We show that these incomplete sets cannot be extended further using the operators of the Pauli group. What is more, specific examples of sets of MUBs obtained using our construction are shown to be strongly unextendible; that is, there does not e...

This paper deals with bases in a finite–dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU2 corresponding to an irreducible representation of SU2. The representation theory of SU2 is reconsidered via the use of two truncated deformed oscillators. This leads to replace the familiar scheme {j2, jz} by a scheme {j2, vra}, where the two–parameter...

OBJECTIVE To investigate the longitudinal associations between active commuting (walking and cycling to work) and body mass index (BMI). METHOD We used self-reported data on height, weight and active commuting from the Commuting and Health in Cambridge study (2009 to 2012; n=809). We used linear regression to test the associations between: a) maintenance of active commuting over one year and ...