Quantum Theory of Condensed Matter

Quantum theory for mesoscopic electric circuits.

A quantum theory for mesoscopic electric circuits in accord with the discreteness of electric charges is proposed. On the basis of the theory, the Schrödinger equation for the quantum LC design and L design is solved exactly. The uncertainty relation for electric charge and current is obtained and a minimum uncertainty state is solved. By introducing a gauge field, a formula for persistent curr...

Applications of Quantum Field Theory in Condensed Matter

Quantum field theory, since its birth, has been the basic framework for describing the physics of elementary particles and their interactions. Firstly, its success in quantum electrodynamics has been enormous, leading to the best theoretical predictions of the whole physics. Later on, use of quantum field theory in the description of the weak and strong interactions, was also extremely successf...

Theory of light-induced drift of electrons in coupled quantum wells.

The patching of critical points using quantum group

Following our recent conjecture to model the phenomenona of antiferromagnetism and superconductivity by quantum symmetry groups, we discuss in the present note how to construct a workable scenario using this symmetry. In particular we propose to patch the relevant critical points. This means we identify fixed points, corresponding to various k or q [since the two are related] and make expansion...

Non-equilibrium Phase Transitions in Condensed Matter and Cosmology: Spinodal

These lectures address the dynamics of phase ordering out of equilibrium in condensed matter and in quantum field theory in cosmological settings, emphasizing their similarities and differences. In condensed matter we describe the phenomenological approach based on the Time Dependent GinzburgLandau (TDGL) description. After a general discussion of the main experimental and theoretical features ...

Non-equilibrium Phase Transitions in Condensed Matter and Cosmology: Spinodal Decomposition, Condensates and Defects∗

These lectures address the dynamics of phase ordering out of equilibrium in condensed matter and in quantum field theory in cosmological settings, emphasizing their similarities and differences. In condensed matter we describe the phenomenological approach based on the Time Dependent GinzburgLandau (TDGL) description. After a general discussion of the main experimental and theoretical features ...