Application of entangled state representation to deriving normally ordered expansion of 1-dimensional Coulomb potential

DOI10.1007/s10773-005-3980-yzbMath1077.81032OpenAlexW1967064808MaRDI QIDQ2575488

Liang Fu, Hong-Yi Fan

Publication date: 12 December 2005

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-005-3980-y

zbMATH Keywords

bipartite entangled stateIWOP method1-dimensional bipartite Coulomb potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum measurement theory, state operations, state preparations (81P15)

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Weyl ordering symbol method for studying Wigner function of the damping field ⋮ Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation ⋮ New operator identities and integration formulas regarding to Hermite polynomials obtained via the operator ordering method

Cites Work

• Quantum Computation
• Eigenvectors of two particles’ relative position and total momentum
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Normally ordered expansion of the inverse of the coordinate operator and the momentum operator
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Application of EPR entangled state representation in quantum teleportation of continuous variables
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