In this research article: 1) the new quantum macroeconomics and microeconomics theories in the quantum econophysics science are formulated, 2) the notion on the wave function in the quantum macroeconomics and microeconomics theories in the quantum econophysics science is introduced, and 3) the quantum econophysical wave equations in the quantum macroeconomics and microeconomics theories in the quantum econophysics science are derived for the first time. Authors show that there is a certain conceptual scientific analogy between 1) the wave functions in the quantum econophysical wave equations in the quantum macroeconomics and microeconomics theories in the quantum econophysics science as well as 2) the wave function in the Schrodinger quantum mechanical wave equation in the quantum mechanics science. The wave function theories are created to make: 1) the economy’s state prediction at the certain time moment, using the wave function in the quantum econophysical wave equation in the quantum macroeconomic theory in the quantum econophysics science; and 2) the firm’s state prediction at the certain time moment, using the wave function in the quantum econophysical wave equation in the quantum microeconomic theory in the quantum econophysics science. Authors use the quantum econophysical wave equations in the quantum econophysics science to develop a new software program for the application by the central/commercial/investment banks with the purpose the make the accurate characterization and forecasting of: 1) the national/global economic performance changes, including the GIP((t), GDP(t), GNP(t) dependencies changes, in agreement with the quantum macroeconomics theory in the quantum econophysics science, and 2) the firm’s economic performance changes, including the EBITDA(t) dependence changes in agreement with the quantum microeconomics theory in the quantum econophysics science.