The invariant eigen-operator method for \(N\) harmonically coupled identical oscillators

DOI10.1007/S10773-009-0026-XzbMath1171.81377OpenAlexW2147349299MaRDI QIDQ842675

Yong-Mei Liu

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/s10773-009-0026-x

zbMATH Keywords

coupled harmonic oscillatorsHeisenberg equationinvariant eigen-operator method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

Related Items (1)

Pseudo-invariant eigen-operator for deriving energy-level gap for quantum bit in quantum circuit

Cites Work

• Unnamed Item
• Invariant `eigen-operator' of the square of Schrödinger operator for deriving energy-level gap
• The invariant eigen-operator method for Hamiltonians with coordinates-coordinates coupling terms
• Deriving Energy-Gap of Some Nonlinear Hamiltonians by Invariant Eigen-operator Method
• VIBRATIONAL SPECTRUM FOR THE LINEAR LATTICE CHAIN GAINED BY VIRTUE OF THE "INVARIANT EIGEN-OPERATOR" METHOD
• The Evaluation of the Collision Matrix

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