Economics have begun only recently to translate its laws in the language of quantum statistics, approaching only specific areas of interests (like Baaquie 2004; Orrell 2018), leaving unaltered the groundings of mainstream economics. Schmitt (1972; 1984) suggested a complete reformulation of neoclassic macroeconomics, but he did it introducing the concepts of wave distribution and transformation only in a humanistic frame, leaving unaltered the mathematics underneath. Here – on the basis of Rossi (2019-2020) – I suggest a basic reformulation of money theory, applying a slightly altered algebra of Dirac (1930), which I am giving account for (particularly in composition of matrices and vectors); and applying the basic principles of quantum mechanics coded by Feynman/Leighton/Sands (1963/2013), in order to explain how money flows through an economic system, meaning a circular model of money supply. That should explain why "natural" distributions of money (out of political control) tend to realize unfair or unsustainable solutions.