The operators of annihilation and creation t are defined by: mw = 2h X...

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The operators of annihilation â and creation ât are defined by: mw â = 2h X +i- -V(-) P X -i- mw at 2h where w is a constant with dimensions of sec-1 States are defined a10} = 0, n) = (at)"|0> Vn! where | 0) is the Fock vacuum normalized to (0| 0) = 1. Show that the states | n) are a Base of a representation of the commutator algebra of said operators finding the action of the operators on it. Find the scalar products between these states. The operators of annihilation â and creation ât are defined by: mw â = 2h X +i- -V(-) P X -i- mw at 2h where w is a constant with dimensions of sec-1 States are defined a10} = 0, n) = (at)"|0> Vn! where | 0) is the Fock vacuum normalized to (0| 0) = 1. Show that the states | n) are a Base of a representation of the commutator algebra of said operators finding the action of the operators on it. Find the scalar products between these states.