THE ENERGY GAPS OF QUADRATIC HAMILTONIANS USING METHOD OF INVARIANT EIGENOPERATOR (IEO)

DOI10.1142/S0217984910024766zbMath1203.82016OpenAlexW2037758349MaRDI QIDQ3062644

Jun-hua Chen, Hong-Yi Fan

Publication date: 28 December 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984910024766

zbMATH Keywords

gauge invarianceenergy gapquadratic Hamiltonianinvariant operator method

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Invariant `eigen-operator' of the square of Schrödinger operator for deriving energy-level gap
• Invariant eigenoperators and energy gap for some Hamiltonians describing photonic nonlinear interaction
• VIBRATIONAL SPECTRUM FOR THE LINEAR LATTICE CHAIN GAINED BY VIRTUE OF THE "INVARIANT EIGEN-OPERATOR" METHOD

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