This is to cut your Etheric Cords.
The reason why people cut cords with others is to generally move on from a person and let them go energetically - this means on an energy level. People who we are close to form energetic bonds with us that resemble cords of energy that link one person to the other. These are etheric cords, so think of ether as a kind of energy.
Once the chords are cut, you can expect to find your mind no longer dwells upon the person as the psychic attachment has been dissolved. Your mind is quieter, calmer and it is like cleaning out a closet - all those old emotions associated with that person dissolve as the communication between you ends. You now have extra space in your mind to fill with something better, and you will certainly be clearer in intent.
Here is the spell to do so:
I ask my angels and spirit guides to help me in this task. I wish to free myself for all eternity from ___(name)___ so that both of us may go free from ties that bind and all energy attachments from the past. It is time to move past the experiences we have shared. I am thankful for what I have learned and lessons given, but this attachment is no longer needed and is holding me back and affecting my 'now'.
With power I now ask for all cords to be cut, for all energetic cords physically connecting the two of us to be removed, dissolved, transmuted and cut free, and all energy to be returned to the original sender.
It is my intention that no more energy attachments hook onto me from ___(name)___. With forgiveness and peace I release them to move away from me and move on whilst I do the same.
I now call upon Archangel Michael to use his mighty blue sword (or Sananda, Saint Germaine, Kwan Yin, Mother Mary) to surround me and cut away the cords and give me protection. I ask that this be complete and sealed NOW. Please cleanse my aura of negative energy and emotions, and seal it with love. So mote it be.