A Method of Calculating Ground-State Properties of Many Particle Systems Using Reduced Density Matrices - Softcover

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9781333794477: A Method of Calculating Ground-State Properties of Many Particle Systems Using Reduced Density Matrices

Synopsis

This book explores a quantum mechanical method of studying many-particle systems by reducing them to 'reduced density matrices.' The author presents the method in such a way that no knowledge of complex N-particle wave functions is required to compute properties like energy or particle correlations. While the approach was initially conceived by von Neumann in the early days of quantum mechanics, this book develops the method systematically along with recent advances. The conditions under which such a reduction can occur are explained from two perspectives: necessary and sufficient conditions and intrinsic necessary conditions. The book goes on to explore implications for systems of both bosons and fermions and provides some simple applications of the method. This book will be of interest to those interested in quantum mechanics, especially as it applies to many-particle systems. It will be particularly useful for researchers who wish to explore the reduced density matrix method without having to understand complex N-particle wave functions, a feat which this book makes possible for the first time.

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