While it has been highly improbable in establishing the exact chronology of the Battle of Thermopylae since it occurred approximately 2,500 years ago, several authors have promulgated certain theories as to the date of the battle in 480 B.C. Based on their hypotheses, the following authors have concluded that the battle commenced on the following day:
August 2nd or 3rd, 480 B.C.
Charles Hignett - 'Xerxes Invasion of Greece' (1963)
August 17th, 480 B.C.
Paul Cartledge - 'Thermopylae - The Battle that Changed the World' (2006)
August 18th, 480 B.C.
Peter Green - 'Xerxes at Salamis' (1970) , revised edition 'The Greco-Persian Wars' (1996)
Ernle Bradford - 'The Year of Thermopylae', (1980) U.S. edition 'The Battle for the West, Thermopylae'
August 19th or 20th, 480 B.C.
Philip Steele - 'Thermopylae' (1993)
September, 480 B.C.
A. R. Burn - 'The Persian Wars' (1962), revised edition 'Persia and the Greeks' (1984)
While this is in no way a comprehensive list, it shows that there isn't unanimity amongst the authors and academics as to the dating of the battle.