Exact solutions of a linear model of quantum solids

Georg Junker

As with the earlier edition, this book provides an accessible introduction to supersymmetric quantum mechanics and its applications in quantum, statistical and solid state physics. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the Pauli and Dirac Equation, coherent states and non-linear algebras. Aimed at graduate students and scientists this book provides a thorough review on supersymmetric quantum mechanics and now includes problems and solutions.

I. M. Lifshit︠s︡

Yasutaka Nagaoka

Таичиро Такаги

An exact solution of the local state probability (spontaneous magnetization) of a fusion cyclic solid-on-solid (CSOS) model is obtained for a special (2-fusion) case. It is composed of ratios of theta functions and branching coefficients. Using the modular property its critical behaviour is analysed. In addition, a conjecture for the local state probability of the N-fusion CSOS model is proposed.