On asymptotic limits for the quantum Heisenberg model

DOI10.1088/0305-4470/23/14/018zbMath0714.60114OpenAlexW2003451734WikidataQ59255862 ScholiaQ59255862MaRDI QIDQ3200368

Jan Philip Solovej, Joseph G. Conlon

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/48819

zbMATH Keywords

quantum Heisenberg modelfree Bose gas limitsthermodynamic free energy

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) General mathematical topics and methods in quantum theory (81Q99)

Related Items (8)

Interaction corrections to spin-wave theory in the large-\(S\) limit of the quantum Heisenberg ferromagnet ⋮ Quantum spin systems at positive temperature ⋮ Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet ⋮ The free energy of the quantum Heisenberg ferromagnet at large spin ⋮ Central limit theorems for the large-spin asymptotics of quantum spins ⋮ Uniform convergence of the free energy of the classical Heisenberg model to that of the Gaussian model ⋮ Random walk representations of the Heisenberg model ⋮ Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet

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