Exponential unitary transformations of states in Fock space

3 EXPONENTIAL UNITARY TRANSFORMATIONS OF STATES IN FOCK SPACE 

The usefulness of the exponential operator exp(—ic) becomes clear when we consider the transformed ON vector (3.2.12). Inserting the expression for the transformed creation operators (3.2.3) into (3.2.12), we obtain 

A similar expression must hold for any linear combination of ON vectors - that is, for any state in Fock space. We have thus established equation (3.2.5) applied to any electronic state 0), the operator exp(— ) generates a new state 0) where all the spin orbitals have been unitarily transformed according to (3.2.1). 

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