TITLE:
About Quantum Mechanics without Hamiltonians
AUTHORS:
Gustavo V. López
KEYWORDS:
Quantization in the Space (x, v), Mass Positiondepending, Shrödinger’s Equation
JOURNAL NAME:
Journal of Modern Physics,
Vol.13 No.5,
May
9,
2022
ABSTRACT: An extension of Shrödinger’s quantization on the space (x, p), where the Hamiltonian approach is needed, is made on the space (x, v) where the Hamiltonian approach is not needed at all. The purpose of this paper is to give a possible extension of the actual formulation of the Quantum Mechanics, and this is achieved through a function K(x, v, t) which takes the place of the Hamiltonian on the Shrödinger’s equation and has units of energy. This approach allows us to include the quantization of classical velocity depending problems (dissipative) and position depending mass variation problems. Some examples are given.