Wigner distributions for finite dimensional quantum systems: An algebraic approach

Pramana

E Ercolessi⁵  R Simon¹  G Marmo²  G Morandi⁴  N Mukunbda³  S Chaturvedi1⁶ 

[1] The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India$$;Dipartimento di Scienze Fisiche, University of Napoli and INFN, Via Cinzia, I-80126, Napoli, Italy$$;Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India$$;Physics Department, University of Bologna, INFM and INFN, V.le B.Pichat 6/2, I-40127, Bologna, Italy$$;Physics Department, University of Bologna, INFM and INFN, Via Irnerio 46, I-40126, Bologna, Italy$$;School of Physics, University of Hyderabad, Hyderabad 500 046, India$$

关键词: Wigner distribution;    phase space;    finite groups;    representation theory;    phase point operators.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We discuss questions pertaining to the definition of `momentum', `momentum space', `phase space' and `Wigner distributions'; for finite dimensional quantum systems. For such systems, where traditional concepts of `momenta' established for continuum situations offer little help, we propose a physically reasonable and mathematically tangible definition and use it for the purpose of setting up Wigner distributions in a purely algebraic manner. It is found that the point of view adopted here is limited to odd dimensional systems only. The mathematical reasons which force this situation are examined in detail.

【 授权许可】

Unknown