Mathematical Nanotechnology: Quantum Field Intentionality

Quantum Nanotechnology

Nanotechnology is based on manipulations of individual atoms and molecules to build complex atomic structures. Quantum nanotechnology is a broad concept that deals with a manipulation of individual quantum states of atoms and molecules. Quantum nanotechnology differs from nanotechnology as a quantum computer differs from a classical molecular computer. The nanotechnology deals with a manipulati...

Mathematical Aspects of Quantum Field Theory

In this series of lectures, my goal is to explain mathematical aspects of quantum field theory to a general audience. Perhaps the fact that I had to mention the phrase “mathematical aspects” already suggests the difficulty of such a goal. Although quantum field theory is a subject originating from and belonging to physics, it has nevertheless made profound contributions to mathematics. In my ex...

Quantum phenomena in Nanotechnology.

Quantum Information Science and Nanotechnology

In this note is touched upon an application of quantum information science (QIS) in nanotechnology area. The laws of quantum mechanics may be very important for nano-scale objects. A problem with simulating of quantum systems is well known and quantum computer was initially suggested by R. Feynman just as the way to overcome such difficulties. Mathematical methods developed in QIS also may be a...

New mathematical structures in renormalizable quantum field theories

Computations in renormalizable perturbative quantum field theories reveal mathematical structures which go way beyond the formal structure which is usually taken as underlying quantum field theory. We review these new structures and the role they can play in future developments. PACS classification: 11.10Gh 11.15Bt 11.10Jj