Space Structure for the Simplest Parasupersymmetric System (2002)
Structure of the state-vector space for a system consisting of one mode parabose and one mode parafermi degree of freedom with the same parastatistics order $p$ is studied and a complete, orthonormal...
A New Kind of Graded Lie Algebra and Parastatistical Supersymmetry (2002)
In this paper the usual $Z_2$ graded Lie algebra is generalized to a new form, which may be called $Z_{2,2}$ graded Lie algebra. It is shown that there exists close connections between the $Z_{2,2}$...
Deformed Legendre Polynomial and Its Application (2002)
Yang, Wei Min, Li, Hu, Jing, Si Cong
A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Legendre polynomials is proposed in...
Graded Lie Algebra Generating of Parastatistical Algebraic Structure (2002)
A new kind of graded Lie algebra (we call it $Z_{2,2}$ graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable bose subspace of the...
Parabose Squeezed Operator and Its Applications (2002)
By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit form of parabose squeezed number states and normalization factors of excitation states on a...
A New Kind of Deformed Hermite Polynomials and Its Applications (2002)
A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Hermite polynomials is proposed,...