A review of the classical and quantum thermodynamic properties of the Toda chain is provided, together with a survey of the techniques that have been used to work them out, i.e., the bilateral Laplace transform method for the classical system, the Bethe-Ansatz and the variational path-integral approach for the quantum one. For the classical Toda chain we also recall some of the main dynamical features, i.e. the integrability of the model and the soliton-like solutions of the equations of motion. In the quantum case a comparison between the Bethe-Ansatz and the variational method is made. In particular it is shown as the latter offers the possibility of also evaluating static correlation functions.
THERMODYNAMICS OF THE TODA CHAIN / A. CUCCOLI; R. LIVI; M. SPICCI; V. TOGNETTI; R. VAIA. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS B. - ISSN 0217-9792. - STAMPA. - 8:(1994), pp. 2391-2446. [10.1142/S021797929400097X]
THERMODYNAMICS OF THE TODA CHAIN
CUCCOLI, ALESSANDRO;LIVI, ROBERTO;TOGNETTI, VALERIO;
1994
Abstract
A review of the classical and quantum thermodynamic properties of the Toda chain is provided, together with a survey of the techniques that have been used to work them out, i.e., the bilateral Laplace transform method for the classical system, the Bethe-Ansatz and the variational path-integral approach for the quantum one. For the classical Toda chain we also recall some of the main dynamical features, i.e. the integrability of the model and the soliton-like solutions of the equations of motion. In the quantum case a comparison between the Bethe-Ansatz and the variational method is made. In particular it is shown as the latter offers the possibility of also evaluating static correlation functions.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.