In the framework of quantum mechanics, objects can indeed be described as both particles (described by wave functions) and objects (subject to measurements). This duality is a fundamental aspect of quantum theory known as wave-particle duality.
According to quantum mechanics, particles such as electrons, protons, and atoms can exhibit both wave-like and particle-like properties. The wave-like behavior is described by a mathematical function called the wave function, which characterizes the probability distribution of finding the particle in different states or locations. The wave function can exhibit interference and diffraction patterns similar to those observed for waves.
However, when a measurement is made on a quantum system, the wave function "collapses" to a specific value corresponding to the measurement outcome. This collapse corresponds to the object-like behavior, where the particle is observed to possess a definite property, such as position, momentum, or energy.
The process of measurement in quantum mechanics is inherently probabilistic. The measurement outcome is determined by the probabilities encoded in the wave function. The act of measurement disturbs the quantum system, and subsequent measurements may yield different results due to this disturbance.
It's important to note that the duality between wave-like and particle-like behavior is not fully intuitive based on our everyday experience with classical objects. It is a fundamental characteristic of the quantum world and has been extensively confirmed by numerous experiments.
In summary, in the quantum realm, objects can be described as both particles (represented by wave functions) and objects (subject to measurements). The wave function describes the probabilistic behavior of the object, while measurements reveal specific properties of the object through a process of wave function collapse.