The board shall keep a record of its proceedings under this chapter, and a register of all persons licensed under it. The register shall show the name of every living licensee, his or her last known place of residence, and the date and number of his or her license as a physical therapist. The board shall compile a list of physical therapists authorized to practice physical therapy in the state. Any interested person is entitled to obtain a copy of that list upon application to the board and payment of such amount as may be fixed by the board which amount shall not exceed the cost of the list so furnished.