Many-body theories for negative kinetic energy systems

Abstract

In the author's previous works, it is derived from the Dirac equation that particles can have negative kinetic energy (NKE) solutions, and they should be treated on an equal footing as the positive kinetic energy (PKE) solutions. More than one NKE particles can make up a stable system by means of interactions between them and such a system has necessarily negative temperature. Thus, many-body theories for NKE systems are desirable. In this work, the many-body theories for NKE systems are presented. They are Thomas-Fermi method, Hohenberg-Kohn theorem, Khon-Sham self-consistent equations, and Hartree-Fock self-consistent equations. They are established imitating the theories for PKE systems. In each theory, the formalism of both zero temperature and finite negative temperature are given. In order to verify that tunneling electrons are of NKE and real momentum, an experiment scenario is suggested that lets PKE electrons collide with tunneling electrons.

32 pages, 2 figures

References in corpus (4)

• The modified fundamental equations of quantum mechanics
• New results by low momentum approximation from relativistic quantum mechanics equations and suggestion of experiments
• There is no vacuum zero-point energy in our universe for massive particles within the scope of relativistic quantum mechanics
• Evaluation of cross section of elastic scattering for non-relativistic and relativistic particles by means of fundamental scattering formulas

Cited by in corpus (1)

• A physical mechanism of the generation of stable positive kinetic energy systems and a qualitative explanation of the proportions of the four ingredients in the universe