Monte Carlo Calculations of Quantum Systems
The thermodynamic behavior of classical systems can be studied by means of analytical methods and computer simulations, e.g. high-temperature expansions and renormalization techniques. In the last twenty years much progress has been achieved. Classical systems under study include Ising models, hard sphere gases, fluids etc. The situation for quantum systems is different. The only method which is generally applicable is the high-temperature expansion, but this is in many cases not sufficient and certainly not sufficient to describe for example phase transitions. Today, because of modern developments, computer simulations of the thermodynamics of quantum systems can be performed in a number of cases.
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