Is any energy required to change the phase of a wave-function?

[San K]

Changing the phase of a wave-function

wave-function is a probability amplitude in quantum mechanics describing the quantum state of a particle and how it behaves.

when we change the phase of a wave-function what are we changing? are we changing the probability distribution wrt time-space?

the change in phase (between the wave-functions traveling different paths) causes the changes in interference pattern

is any energy required to change the phase of a wave-function?
or
when a wave-function changes phase is there an exchange of energy (with the instrument that caused the phase change)?

 

[Simon Bridge]

Hello again - can you come up with an example of a process changing the phase of a wavefunction? Once done, you will have the answer to your problem.

Wavefunctions can be represented by a phasor in a manner similar to classical waves. The phase of the wave at a point in space and time is the angle the phasor makes to the real-number axis.

the change in phase (between the wave-functions traveling different paths) causes the changes in interference pattern

This is not correct - it is the difference in phase between phasors calculated for different paths that tells us the amount of interference. This is explained in the Feynman lectures I have directed to you to in your other thread.