Quantum chemists have recorded a huge number of data points which standard quantum mechanics cannot interpret. Many-Worlds quantum mechanics can. Many-Worlds quantum mechanics differs from standard quantum mechanics because in Many-Worlds, the wave function is a relative density of universes in the multiverse amplitude rather than a probability amplitude. In Many-Worlds, the Born frequencies are approached rather than given a priori. Thus in Many-Worlds, the rate of approach to the final frequencies can be calculated and compared with observation. This is a new type of reaction rate. I show how to use Many-Worlds to analyze the breakup of
Br2. Such analysis will experimentally test Many-Worlds fermionic and time-dependent quantum mechanics. Conversely, experimental quantum chemistry has become too sophisticated to be analyzed by standard quantum mechanics. Only Many-Worlds can do the job
The study of physical systems endowed with a position-dependent mass (PDM) remains a fundamental issue of quantum mechanics. In this paper we use a new approach, recently developed by us for building the quantum kinetic energy operator (KEO) within the Schrodinger equation, in order to construct a new class of exactly solvable models with a position varying mass, presenting a harmonic-oscillator-like spectrum. To do so we utilize the formalism of supersymmetric quantum mechanics (SUSY QM) along with the shape invariance condition. Recent outcomes of non-Hermitian quantum mechanics are also taken into account.
Quantum Mechanics (QM) is primarily a probabilistic theory. The standard Kolmogorov probability theory is not suitable for this goal since it does not offer the possibility of the reversible time evolution. This implies the need to construct a new probability theory which is able to model the reversible time evolution. I have proposed such an Extended probability theory. The main goal of this project is to understand what QM is. In this note I shall describe the program of the research which is already partially realized.