An electron, jumps to its higher energy state level or jumps lower to its stable or ground level state, it absorbs or emit discrete amount of energy (photon) respectively. but the thing is the electron in the conducting band of a metal can be at all possible positions which we can say not being state of discreteness. so, a photon can have any amount of energy in vacuum.

i am not sure or not have any reference to above narration. Seeking to have some insights and if with any suggested paper on it.

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