There are two possible approaches to psychoanalytic criticism of Harriet Beecher Stowe's Uncle Tom's Cabin. One uses the book as a way to analyse the psychology of the author and the other approaches the book as though the characters are actual people and attempts to see in their behaviours and descriptions their deeper psychological natures. The most common literary types of psychological criticism are the Freudian, which was more common in mid-twentieth century, and the Lacanian, which developed in tandem with both structuralist and postmodernist criticisms in the second half of the twentieth century.
Search the MLA International Bibliography on your university library's website to find a complete bibliography on this subject. A few starting points are:
McFarland, Philip. Loves of Harriet Beecher Stowe. New York: Grove Press, 2007: 10
Hedrick, Joan D. Harriet Beecher Stowe: A Life. New York: Oxford University Press, 1994.
Sundquist, Eric J., ed. New Essays on Uncle Tom’s Cabin. Cambridge, Eng.: Cambridge University Press, 1986.
Erica Galioto. "Female (Mis)Identifications: From Uncle Tom’s Cabin’s Jealousy to Beloved’s Shame". Psychoanalysis and La Femme: Special Issue.