Quantum spacetime
Quantum stochastic convolution cocycles I
Refined Algebraic Quantization: Systems with a single constraint
This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this context, on the uniqueness of the construction. While in general the results depend heavily on the choices made for certain auxiliary structures, an additional physical argument leads to a unique result for typical cases. We also discuss the 'superselection laws' that...
Remarks on the symmetric space ... and its quatization.
Renormalization group approach to zero temperature Bose condensation.
Representation theorem for convex effect algebras
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Rotation-invariant operators on white noise functional.
-linear algebra in economics and physics.
-linear operators in quantum mechanics and in economy.
Scaling algebras in local relativistic quantum physics.
Sets of simple observables in the operational approach to quantum theory
Simboli di Operatori e Limite Classico della Funzione di Wigner
Some observations on local uniform boundedness principles. II
Space of local fields in integrable field theory and deformed abelian differentials.
Spontaneously broken symmetries
Temperature states on gauge groups
The energy of heavy atoms according to Brown and Ravenhall: the Scott correction.
The spin of the ground state of an atom.
In this paper we address a question posed by M. and T. Hoffmann-Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, ±1/2. The total spin is the sum of the individual spins.
The Tomita operator for the free scalar field
Tomita conjugations and transitivity of locality