Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is proposed which includes systems which have fewer commuting integrals of motion th...

Dual-phase steels are generally used in the car industry due to high tensile strength and good formability, which obtained by a mixture of bainite ferrite phases. This microstructure is achieved through slow rate coil cooling. However, manufacturing dual-phase introduces various challenges such as instability cold rolling process. An important factor affecting this non-uniform cooling hot rolle...