The transition from a wave-like behavior to a particle-like behavior when observing a quantum system is not directly caused by the energy used to observe the system. Rather, it is a fundamental characteristic of quantum mechanics.
In quantum mechanics, the act of observation or measurement plays a crucial role in determining the behavior of a quantum system. When a measurement is made on a quantum system, its wave function "collapses" into one of the possible eigenstates of the measured observable. This collapse results in the system exhibiting a definite value for the measured property (e.g., position or momentum) as a particle would.
The specific outcome of the measurement is determined by the probabilities encoded in the wave function of the system before the measurement. These probabilities are given by the square of the wave function amplitudes, which correspond to the likelihood of obtaining a particular measurement result.
It's important to note that the process of observation or measurement in quantum mechanics is not solely dependent on the energy used. Rather, it involves an interaction between the quantum system and the measuring apparatus, which can include a variety of physical processes and interactions.
The wave-particle duality and the collapse of the wave function upon measurement are fundamental aspects of quantum mechanics, and they are not solely tied to the energy of the observation process. The energy used in the measurement can influence the precision and accuracy of the measurement itself, but it is not the direct cause of the transition from a wave-like behavior to a particle-like behavior.