We present an analytical approach for similarly and highly charged planar interfaces in the presence of counterions. The procedure is physically transparent and based on an exact low temperature expansion around the ground state formed by the two-dimensional Wigner crystal of counterions. The one plate problem is worked out, together with the two plates situation. Unlike previous approaches, the expansion is free of divergences, and is shown to be in excellent agreement with available data of Monte Carlo simulations under strong Coulombic couplings. In the two plates case, the present results shed light on the like-charge attraction regime.

Including topics not traditionally covered in the literature, such as (1 + 1)dimensional quantum field theory and classical two-dimensional Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied.Beginning with a treatise on non-relativistic one-dimensional continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse-scattering method and the analysis of the related Yang-Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz.Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics. L A D I S L AV Š A M A J is a Research Professor within the Institute of Physics at the Slovak Academy of Sciences and teaches statistical mechanics of integrable many-body systems at the Institute of Physics and the Comenius University in Bratislava. His research specializes in classical and quantum, two-dimensional and higher-dimensional Coulomb fluids. He has contributed to the field of equilibrium statistical mechanics by solving exactly the two-dimensional Coulomb gas that is charge-symmetric and with a charge asymmetry.