The Elimination of the Nodes in Quantum Mechanics

摘要: The laws of classical mechanics must be generalised when applied to atomic systems, the generalisation being that commutative law multiplication, as dynamical variables, is replaced by certain quantum con­ditions, which are just sufficient enable one evaluate xy - yx x and y given. It follows variables cannot ordinary numbers expressible in decimal notation (which will called c-numbers), but may considered a special kind q-numbers), whose nature exactly specified, can used algebraic solution problem manner closely analogous way corresponding used. only justification for names given lies analogy theory, e. g. , if says x, y, z Car­tesian co-ordinates an electron, means q-numbers appear Cartesian electron solution. happen two or more same quantity (the being, course, imperfect different respects thus have claims name. This occurs, instance, considers what shall frequencies multiply periodic system, there orbital transition frequencies, either correspond frequencies. In such case decide properties variable dynamically most important, choose q-number has these variable.