Quantum information processing exploits the quantum nature of information. It offers
fundamentally new solutions in the field of computer science and extends the possibilities to …

Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

Loop Quantum Gravity is a nonperturbative and background independent program for the
quantization of General Relativity. Its underlying formalism has been applied successfully to …

Aimed at graduate physics and chemistry students, this is the first comprehensive
monograph covering the concept of the geometric phase in quantum physics from its …

" This volume contains the expanded lecture notes of courses taught at the Emile Borel
Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent …

A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define
a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

The subjects of stochastic processes, information theory, and Lie groups are usually treated
separately from each other. This unique two-volume set presents these topics in a unified …

A theory is the more impressive, the simpler are its premises, the more distinct are the things
it connects, and the broader is its range of applicability. Albert Einstein There are two …

On one level, this text can be viewed as suitable for a traditional course on ordinary
differential equations (ODEs). Since differential equations are the basis for models of any …