Is God Jealous?

There are many passages in the Bible that say or imply that God can be jealous. Ex. 34, for instance, says: “Do not worship any other god, for the Lord, whose name is Jealous, is a jealous God.” Yet, the idea that God is jealous does not sit easy with us. Why would an almighty and holy God be jealous of finite and mortal creatures? Also, how could God be jealous of us over our worshiping idols, given that those idols do not really exist? Finally, jealousy seems possessive and demanding, something a perfectly good God would not be. Thus, is God truly jealous? If so, how should we respond? And what does it mean for the Christian life if God is a jealous God?