- #1
Matiasss
- 7
- 0
hi,
i have studied the annihilation and creation operators and number operator N in relation with the simple harmonic oscillator that is governed by:
H = hw(N+1/2)
i don't understand the relation between the harmonic oscillator and for example, this hamiltonian:
H = hw1a+a+hw2a+a+aa
that i have found it in an example in the lecture notes of a course. they calculate the energies of this system. They use the annihilation operator that is defined from the simple HO to solve that system.
what is physically this system? why i can use the SHO to calculate the energies?
i feel that i am confused with the a operator . i thought that it was defined from the hamiltonian of the simple harmonic oscillator ,,,, isn't it ?
thanks in advance
i have studied the annihilation and creation operators and number operator N in relation with the simple harmonic oscillator that is governed by:
H = hw(N+1/2)
i don't understand the relation between the harmonic oscillator and for example, this hamiltonian:
H = hw1a+a+hw2a+a+aa
that i have found it in an example in the lecture notes of a course. they calculate the energies of this system. They use the annihilation operator that is defined from the simple HO to solve that system.
what is physically this system? why i can use the SHO to calculate the energies?
i feel that i am confused with the a operator . i thought that it was defined from the hamiltonian of the simple harmonic oscillator ,,,, isn't it ?
thanks in advance