1. The bigger picture - test your understanding. Respond to the following statements with true or false or answer the prompt to test your understanding. (a) b) (g) We can derive the laws of quantum mechanics based on our macroscopic world. Within the framework of quantum mechanics, we must accept certain rules as given by nature. We call them postulates. The reason for why we don't observe uncertainty in macroscopic bodies is because the Heisenberg uncertainty principle is only strictly defined for tiny particles. Electrons are spheres of finite size with an intrinsic rotation that generates a magnetic moment, just like any charged object's rotation would. If you know the Hamiltonian of your system e.g., the hydrogen atom, and you guess two wavefunctions, the function with the lower energy is underestimating the ground state energy. You observe a quantum system that is in a super-position state of its two Eigen- states of different energies e.g., V = 1; + c22. Adding the time-dependence to the total wavefunction will lead to a time-dependent probability of finding the system in either Eigenstate. Assume the system remains unperturbed. If your total Hamiltonian can be written as a the sum of two commuting oper- ators, a corresponding wavefunction can be written as the product of solutions of those operators