Deriving energy-gap of some Hamiltonians with kinetic coupling by the invariant eigen-operator method

DOI10.1007/S10773-009-9976-2zbMath1171.81378OpenAlexW1968540250MaRDI QIDQ842618

Gang Ren, Hong-Yi Fan

Publication date: 25 September 2009

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

Full work available at URL: https://doi.org/10.1007/s10773-009-9976-2

zbMATH Keywords

unitary operatorcoupling termsthe invariant eigen-operator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Energy formulas for three quantum Brownian motion models obtained with the IEO method ⋮ Deriving energy-level gap of some dynamic Hamiltonians in many particle physics by virtue of the Invariant eigenoperator method

Cites Work

• Energy level formula for the Morse oscillator with an additional kinetic coupling potential
• Reply to: ``On the Morse oscillator with a kinetic coupling by F. M. Fernández.
• On the Morse oscillator with a kinetic coupling. Comment on: Energetic level formula for the Morse oscillator with an additional kinetic coupling potential by H. Y. Fan, Chen and Y. Fan.
• Invariant `eigen-operator' of the square of Schrödinger operator for deriving energy-level gap
• Eigenvectors of two particles’ relative position and total momentum

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