Density Matrix Method Begins To Occupy Leading Position  In Quantum Physics

Boris V. Bondarev

Boris V. Bondarev Moscow Aviation Institute, Moscow, Russia

Keywords: Fokker –Planck Equation. SchrÖdinger equation. Statistical operator. Density matrix. Liouville –von Neumann equation. Lindblad Equation. Equation for density matrix. Quantum kinetic equation. Dissipative diffusion and attenuation operators. Variational principle.

Abstract

This article focuses on how quantum mechanics has been discovered and developed over the past century, and how its development has been hindered by many false theories. Some of these theories have come to light because a new tool has not yet been born that would ensure the existence of new theories. Other false quantum theories appeared due to the authors ignorance of the basics of quantum mechanics and are still taught to students. This work opens up new paths of quantum physics that start with the Lindblad equation for the statistical operator and the equation for the density matrix. The last equation is equivalent to the equation for the statistical operator.

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References

[1] Lindblad G. On the generators of quantum dynamical semigroups, Commun. Math. Phys., 1976, v. 48, p. 119-130.
[2] Bondarev B.V. Derivation of the quantum kinetic equation from the equation Liouville –von Neumann, Theor. Math. Phys., 1994, v. 100, p. 33-43.
[3] Bondarev B.V. Quantum Markovian master equation for a system of identical particles interacting with a heat reservoir. Physica A, 1991, v. 176, № 2, p. 366-386.
[4] Bondarev B.V. Equation for the density matrix of the system of identical particles. Advanced Materials, edt. Ivan A. Parinov. Springer Proceedings in Physics, 2020, p. 141.
[5] Bondarev B.V. New theory of superconductivity. Scientific Research Publishing, Inc, USA, 2017, p. 125.
[6] Bondarev B.V. Eight new theories in quantum physics, М.: Sputnik+, 2018, p. 222.
[7] Bondarev B.V. Density Matrix Theories in Quantum Physics. Bentham, 2020, p. 393.