wasi-uz-zaman said:hi, i studied the field quantization in terms of raising and lowering operators , in its derivation we consider cavity- my question -a) Is field consider to be quantized in cavity only ?
b)how do we link mode of electromagnetic field with harmonic oscillator ?
Field quantization is a process in quantum mechanics where a classical field is described in terms of discrete units, or quanta, in order to make it compatible with the principles of quantum mechanics.
Raising and lowering operators are mathematical operators used in quantum field theory to describe the creation and annihilation of particles. They act on the quantum state of a particle and change its energy level by a certain amount.
Raising operators increase the energy level of a particle by a certain amount, while lowering operators decrease the energy level. They do this by changing the number of quanta present in the field, and therefore the energy associated with it.
Raising and lowering operators are essential in the process of field quantization as they allow us to describe the creation and annihilation of particles in a consistent manner. They also help us to understand the energy levels of particles and how they can change.
Raising and lowering operators are related to each other through the commutation relation. This means that they do not commute, or that the order in which they are applied matters. This relationship is important in understanding the behavior of particles in a quantum field.