Transformation Properties of Classical and Quantum Laws under Some Nonholonomic Spacetime Transformations

Nonrelativistic Newton and Schroedinger equations remain correct not only under holonomic but also under nonholonomic transformations of the spacetime coordinates. Here we study the properties of transformations which are holonomic in the space coordinates while additionally tranforming the time in a path-dependent way. This makes them nonholonomic in spacetime. The resulting transformation formulas of physical quantities establish relations between different physical systems. Furthermore we point out certain differential-geometric features of these relations.