New Defender's Study Bible Notes
63:1 my God. Two names for God, Elohim and El, are used in this first sentence—the first a plural form, the second singular — possibly intimating some awareness of the Godhead.
63:1 thirsteth for thee. Note that, even in a parched desert, David’s thirst was not for water, but for the Lord. His longing was not for a return to his home and throne, but for God, to know again His power and His glory (Psalm 63:2).