Quantum Statistical Mechanics in Classical Phase Space 1st Edition – PDF/EPUB Version Downloadable

Quantum and classical results are often presented as
being dependent upon separate postulates as if the two are distinct and
unrelated, and there is little attempt to show how the quantum implies the
classical. The transformation to classical phase space gives researchers access
to a range of algorithms derived from classical statistical mechanics that
promise results on much more favourable numerical terms. Quantum Statistical Mechanics in Classical
Phase Space offers not just a new computational approach to condensed
matter systems, but also a unique conceptual framework for understanding the
quantum world and collective molecular behaviour. A formally exact
transformation, this revolutionary approach goes beyond the quantum
perturbation of classical condensed matter to applications that lie deep in the
quantum regime. It offers scalable computational algorithms and tractable
approximations tailored to specific systems. Concrete examples serve to
validate the general approach and demonstrate new insights. For example, the
computer simulations and analysis of the λ-transition in liquid helium provide a new molecular-level
explanation of Bose-Einstein condensation and a quantitative theory for
superfluid flow. The intriguing classical phase space formulation in this book
offers students and researchers a range of new computational algorithms and
analytic approaches. It offers not just an efficient computational approach to
quantum condensed matter systems, but also an exciting perspective on how the
classical world that we observe emerges from the quantum mechanics that govern
the behaviour of atoms and molecules. The applications, examples, and physical
insights foreshadow new discoveries in quantum condensed matter systems.