Theoretical and Quantum Mechanics

Guido van Hooydonk

Quantum mechanics (QM) theoretically forbids natural H-antiH interactions because of annihilation in the Dirac sense. But in practice, ab initio QM relies explicitly on HantiH attraction, which it theoretically forbids, to arrive at attractive forces in the molecular hydrogen cation, given away by the cusp in its PEC (potential energy curve) at exactly 1,06 Angstrom. This internal inconsistency in QM is easily removed by lifting its irrational ban on natural antihydrogen.

Walter Greiner, Berndt Müller

Zhaoxu Ji, Huanguo Zhang

Since its establishment, quantum mechanics has developed for a century and has a very large theoretical system, but the phenomenon of quantum mechanics still lacks a generally accepted explanation, which undoubtedly shows that the existing theoretical system is incomplete. Inspired by ancient Chinese philosophy, we propose a theoretical framework in this paper, which provides a new perspective for explaining quantum mechanical phenomena including superposition and entanglement. In addition, the proposed framework contributes to a profound understanding of the law of conservation of energy. We show through examples how basic superposition states and entangled states are constructed. Our work can inspire people to think deeply about the mysteries of nature, especially quantum mechanical phenomena.

N. Riga, Rebecca Seviour, Kevin L. Jensen +2 more

We present a theoretical study of the correspondence between quantum mechanics (QM) and electromagnetism (EM) using the transfer matrix approach (TMA). This analogy has been studied previously [1] , [2] , [3] ; here we adapt it to electromagnetic wave propagation through an isotropic metamaterial for comparison with quantum tunneling through a one-dimensional barrier. Wigner trajectory calculations for quantum mechanical tunneling have been developed previously [4] , [5] to present a method for modeling electron emission at an atomistic level and to allow for coupling to larger-scale particle-based simulations. To provide a means for computational verification and macroscopic experimental validation of these microscale simulations, we use the TMA to calculate both the QM and EM transmission and reflection coefficients, which enables direct comparison of the respective outputs.

Franz Schwabl