Complex amplitude,Feynman diagrams

[Rothiemurchus]

A physical process can be represented by Feynman diagrams, each with a complex amplitude.
Squaring the sum of these amplitudes gives the rate at which a process occurs.
Since a rate can be a frequency,doesn't this imply that before the sum of amplitudes is squared, we are dealing with the square root of a frequency?
Is a complex amplitude just the square root of a frequency,and how can it
be when a frequency is a real number?

 

[dextercioby]

A physical process can be represented by Feynman diagrams, each with a complex amplitude.
Squaring the sum of these amplitudes gives the rate at which a process occurs.
Since a rate can be a frequency,doesn't this imply that before the sum of amplitudes is squared, we are dealing with the square root of a frequency?
Is a complex amplitude just the square root of a frequency,and how can it
be when a frequency is a real number?

HINT:Write $\omega =|M_{1}+M_{2}|^{2}$,where M1and M2 are 2 complex numbers (the scattering probabilitiy amplitudes) and omega is a real number (the frequency).Try to see whether it makes any sense the formula implied by the problem (the one obtained putting radicals of order 2 over both sides of the eq.i posted).My guess is not.

Daniel.

 

[R0man]

Complex amplitude and Feynman diagrams are important tools in quantum mechanics to represent physical processes and calculate their probabilities. The complex amplitude represents the probability amplitude of a particular outcome in a given physical process. It is a complex number that combines both magnitude and phase information.

Squaring the sum of these amplitudes is a mathematical operation used to calculate the probability of the entire process occurring. It is not related to frequency in the traditional sense, but rather represents the likelihood of the process happening.

In quantum mechanics, the concept of frequency is not as straightforward as in classical physics. Instead, it is related to the energy of a system and is represented by the frequency of a wave function. This frequency can be a complex number, and therefore, the complex amplitude cannot simply be the square root of a frequency.

The use of complex numbers in quantum mechanics is necessary to accurately describe the behavior of particles at the quantum level. These numbers allow for the representation of both real and imaginary components, which are needed to describe the probabilistic nature of quantum systems.

In conclusion, a complex amplitude is not the square root of a frequency, but rather a complex number representing the probability amplitude of a physical process. Its use in Feynman diagrams and calculations is essential in understanding and predicting quantum phenomena.