TITLE:
A Formulation of Quantum Theory Based on Two Physical Principles
AUTHORS:
R. T. Deck
KEYWORDS:
Uncertainty Principle, Invariance Principle, Klein-Gordon Equation, Schrodinger Equation
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.4,
March
25,
2015
ABSTRACT: We
demonstrate two points: 1) the formalism of quantum mechanics can be understood
simply as a structure for the expression of the physical notion that not all
observables can have values simultaneously; 2) the specific uncertainty
relations can be derived (rigorously) by combination of the invariance
principle with a general uncertainty relation based only on the existence of
unspecified pairs of conjugate observables. For this purpose, we present a
formulation of quantum mechanics based strictly on the invariance principle and
a “weak” statement of the uncertainty principle that asserts only the existence
of incompatible (conjugate) observables without specifying which observables
are incompatible. We go on to show that the invariance principle can be used to
develop the equations of motion of the theory, including the Klein-Gordon and Schrodinger
equations.