A diagonal representation of the quantum density matrix using q-boson oscillator coherent states

2002/08/16 by R. Parthasarathy, R. Sridhar · 16 citations
Chemistry · Computer Science · Mathematics · #Algebraic structures and combinatorial models #Boson #Coherent states #Density matrix #Diagonal #Diagonal matrix #Kernel (algebra) #Mathematical physics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Representation (politics) #math.QA

paper · pdf · doi:10.1016/s0375-9601(02)01356-7

published in Physics Letters A 305(3-4), 105-110 (Elsevier BV) · 9 Pages, Latex version

arxiv created 2002/08/16 · openalex publication_date 2002/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A q-analogue of Sudarshan's diagonal representation of the Quantum Mechanical density matrix is obtained using q-boson coherent states. Earlier result of Mehta and Sudarshan on the self reproducing property of rho(z',z) is also generalized and a self-consistent self-reproducing kernel K-tilde(z',z) is constructed.

Citations

• On the Completeness of Some Subsystems of q-deformed Coherent States
• Relation between Quantum and Semiclassical Description of Optical Coherence
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Coherent and Incoherent States of the Radiation Field
• On the Quantum Correction For Thermodynamic Equilibrium