Electrons and quarks for example are part wave and part particle.
The physical properties are hard to know because measuring affects the matter.
Quantum mechanics deals with the micro world
Math and calculus
This is the equation that explains quantum mechanics.
Quantum measurement is the process of observing or measuring a quantum system. In quantum mechanics, a measurement causes the system to "collapse" into one of its possible states, altering the probability of finding the system in different states in the future.