Advances in Membrane Computing

ed/Indexed in:Google Scholar, Mathematical Reviews, MathSciNet,Zentralblatt Math Intermediate SpectralTheory and QuantumDynamics César R. de Oliveira, Federal University ofSão Carlos, Brazil 2009, XIII, 410 p., HardcoverISBN 978-3-7643-8794-5EUR 49.90The spectral theory of linear operators plays a key role in themathematical formulation of quantum theory. Furthermore, sucha rigorous mathematical foundation leads to a more profoundinsight into the nature of quantum mechanics. This textbookprovides a concise and comprehensible introduction to thespectral theory of (unbounded) self-adjoint operators and itsapplication in quantum dynamics. The book places emphasis on the symbiotic relationship ofthese two domains by (1) presenting the basic mathematicsof nonrelativistic quantum mechanics of one particle, i.e.,developing the spectral theory of self-adjoint operators ininfinite-dimensional Hilbert spaces from the beginning, and (2)giving an overview of many of the basic functional aspects ofquantum theory, from its physical principles to the mathematicalmodels. The book is intended for graduate (or advanced undergraduate)students and researchers interested in mathematical physics.It starts with linear operator theory, spectral questions andself-adjointness, and ends with the effect of spectral type on thelarge time behaviour of quantum systems. Many examples andexercises are included that focus on quantum mechanics. EUR prices are net prices.All prices are recommended and subject to change without notice.NEW @BIRKHÄUSER