SOLUTIONS TO A QUANTAL GRAVITY-MATTER FIELD-THEORY ON A LINE

Solutions to a scalar-tensor (dilaton) quantum gravity theory, interac ting with quantized matter, are described. Dirac quantization is frust rated by quantal anomalies in the constraint algebra. Progress is made only after the Wheeler-DeWitt equation is modified by quantal terms, which eliminate the anomaly. More than one modification is possible, r esulting in more than one 'physical' spectrum in the quantum theory, c orresponding to the given classical model.