Denis said:Whatever can be described by one complex number can be described, as well, by two real numbers. Some denotations may look more cumbersome in such a real notation, that's all.
Physics doesn't answer "why" questions.MichPod said:The question is - why? Is the nature in its underneath is somehow "complex"?
The use of complex numbers in quantum mechanics is necessary because they provide a mathematical framework that accurately describes the behavior of quantum particles. In classical mechanics, real numbers are sufficient to represent physical quantities such as position and momentum. However, in quantum mechanics, the behavior of particles is described by wave functions, which require complex numbers to fully capture their properties.
No, using only real numbers in quantum mechanics would lead to incorrect predictions and inconsistencies with experimental observations. The use of complex numbers allows for the representation of wave properties, such as interference and superposition, which are essential in describing the behavior of quantum particles.
Complex numbers are not directly observable in the physical world, but they are used to represent and calculate the probabilities of different outcomes in quantum measurements. In this way, they provide a mathematical framework for making accurate predictions about the behavior of quantum particles.
No, complex numbers are used in various fields of science and engineering, such as electrical engineering, signal processing, and fluid dynamics. In quantum mechanics, they are specifically used to represent the wave nature of particles and their interactions.
The physical interpretation of complex numbers is a topic of ongoing debate and research in quantum mechanics. Some theories suggest that the real part of a complex number represents the physical state of a particle, while the imaginary part represents its momentum. However, these interpretations are still being explored and may not be universally accepted.