Final answer:
The Wigner-Weisskopf method is meant for time-independent perturbations in quantum mechanics and is more complex when applied to time-varying scenarios. The frequency drift of a signal due to the Doppler effect illustrates the underlying principles of quantum mechanics. The Heisenberg uncertainty principle, less perceptible on a macroscopic scale, highlights the limits of measurement precision at the quantum level.
Step-by-step explanation:
The Wigner-Weisskopf method is an analytical technique used in quantum mechanics, typically to calculate the decay of unstable states through the diagonalization of the system’s Hamiltonian. It is traditionally applied to systems with time-independent perturbations. The basis of the method involves finding an effective, non-hermitian Hamiltonian that governs the evolution of the quantum state over time. While this method is useful for certain types of problems, applying it to time varying perturbations is more complex.
A signal's frequency can indeed drift, known as the Doppler effect, due to the changing relative motion of the source and the receiver. The Schrödinger equation, central to quantum mechanics, typically makes use of complex wavefunctions, which have real physical implications only in terms of their absolute square, providing real and measurable probabilities.
Concerning the Heisenberg's uncertainty principle, it is hardly noticeable in everyday life because of the minuscule size of Planck's constant. The principle becomes significant only at the quantum scale, revealing the fundamental limits in our ability to precisely measure quantum particles. Nevertheless, the principle does hold true across all scales; it's just that its effects are negligible for macroscopic objects.