Calling upon:
* Summoning
* Conjuring
* Eliciting
* Calling forth
* Appealing to
* Calling on
* Invoking
* Activating
* Engaging
* Recalling
Mentioning or referring to:
* Citing
* Referring to
* Mentioning
* Quoting
* Using
Putting into effect:
* Implementing
* Enacting
* Applying
* Putting in motion
To bring to mind:
* Evoke
* Trigger
* Recall
* Stimulate
For example:
* "Invoking" a god: You could say "summoning" or "appealing to."
* "Invoking" a rule: You could say "citing" or "referring to."
* "Invoking" a memory: You could say "evoking" or "triggering."
It's important to choose the word that best fits the specific situation and meaning you want to convey.