According to de Broglie's equation, the wavelength of an object at rest (where velocity v=0) is not defined in conventional terms. The uncertainty principle indicates that a particle cannot have a precisely defined position and momentum simultaneously, leading to the conclusion that a stationary particle is best represented by a wave packet. This wave packet has an expectation value of momentum equal to zero and consists of waves with both positive and negative momentum values, forming a standing wave with maximum amplitude at the particle's most likely location.
PREREQUISITESStudents and professionals in physics, particularly those studying quantum mechanics, wave-particle duality, and the behavior of particles at rest.