Physical and Mathematical Fundamentals of Quantum Mechanics

Since the time of formulation of quantum mechanics in the 1920s, there have been dissenting voices regarding its interpretation and meaning. Topics for discussion include, to name just a few, the nature of measurement, the transition between quantum and classical mechanics, and the question of whether or not quantum mechanics is a complete theory that comprehensively describes physical reality.

Currently, the research lines of this area at the Institute focus on a deeper understanding of the quantum phenomenon, and include: (a) The development of a rigorous theoretical framework that, by considering the quantum phenomenon as an emergent property of the interaction of matter with the radiation field, offers a physical basis for the postulates of conventional theory; (b) An analytically exact, non-Hermitian formulation of the time-dependent solutions of the Schrödinger equation in problems of quantum decay and transitory effects and their application to artificial quantum systems; (c) Studies of the notion of time in quantum mechanics that include, among others, relativistic aspects in the formulation of a time operator in quantum mechanics; (d) The measurement problem in quantum mechanics using the von Neumann model and its relationship with the Wigner function in phase space of position and moment.