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HYDROGEN ATOM MODEL IN GEOMETRIC ALGEBRA TERMS
Pages : [29] - [43]
Received : April 22, 2023; Revised May 8, 2023
Communicated by : Professor Francisco Bulnes
Abstract
Geometric Algebra formalism opens the door to developing a theory replacing conventional quantum theory (Mathematics Subject Classification, item 81). Generalizations, stemming from changing of complex numbers by geometrically feasible objects in three dimensions, followed by unambiguous definition of states, observables, measurements, bring into reality clear explanations of weird quantum mechanical features, for example, primitively considering atoms as a kind of planetary system, very familiar from macroscopic experience but recklessly used in a physically very different situation. In the current work the three-sphere becomes the playground of the torsion kind states eliminating abstract Hilbert space vectors. The states as points evolve, governed by updated Schrodinger equation, and act as operators on observables in measurements.
Keywords
geometric algebra, states, observables, measurements.