My scientific articles. Book 3. The method of density matrices in quantum theories of Laser, an arbitrary atom

This book discusses the published scientific articles in which new quantum theories of the laser, arbitrary atom and quantum oscillator with attenuation are set out by the method of density matrices. The first theory is built on an equation for the density matrix, which was previously received by the author from the quantum equation of Luville - von Neumann. On the left side of this equation is the first time derivative of the density matrix, and the right side consists of two terms. The first term is a well -known Poisson quantum bracket in quantum mechanics. The second term is called a dissipative operator.
The theory of the two -level laser begins with the fact that Hamiltonian of one of the atoms that are part of the laser depends on time. To find your own atom energy, you must use a unitary matrix to get diagonal hamiltonian. Own atom energy values ​​are the diagonal elements of the new Hamiltonian. Transitions between these levels characterize the work of the laser. The elements of a dissipative operator are built, which describe thermodynamic transitions between levels, pumping and attenuation of the atom. The equations of the density matrix and the kinetic equation of laser radiation emerging from the laser are compiled.
The theory of an arbitrary atom is built on an approximate single-part matrix of the density of the electron, which is obtained from the Z-separate matrix of all the electrons of the atom. This density matrix is ​​built using wave functions for an electron in hydrogen atom. The energy of the electron system in the atom is determined by the matrix elements of two Hamiltonians. The mathematical statement that the electrons are farmions is that any two -electron matrix should be anti -symmetric. These matrices include a two -electron density matrix and Hamitanian of the interaction of two electrons. To obtain an anti -asymmetric matrix of this Hamiltonian, a two -electron Sleater wave function is used. Schrödinger quasi equalization was obtained, in which there are wave functions of electrons at different levels of energy.
The equation is recorded, which describes the statistical operator for a quantum damped oscillator. A dissipative operator has been found, which for the average value of the coordinate exactly leads to the equation of fading vibrations. We can say that the quantum equation for the statistical operator is the basis from which Newton"s laws are obtained.
Equations are recorded for the matrix of the density of the system of identical particles. These equations are the beginning in the description of particles in nanophysics.
The book can be of interest to high school students, graduate students, teachers and scientists