Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation

DOI10.1007/s11232-009-0156-6zbMath1185.81038OpenAlexW2036605912MaRDI QIDQ2269398

Shu-Guang Liu, Hong-Yi Fan

Publication date: 16 March 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0156-6

zbMATH Keywords

convolution theoremthree-dimensional entangled fractional Fourier transformationtripartite entangled state representation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convolution, factorization for one variable harmonic analysis (42A85) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Application of entangled state representation to deriving normally ordered expansion of 1-dimensional Coulomb potential
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Eigenvectors of two particles’ relative position and total momentum
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

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