I have looked at several derivations of the Schrodinger equation but the one I like the best is from Piravonu Mathews and K. Venkatesan in their book ‘A Textbook of Quantum Mechanics’. I follow their logic and algebra up until the last step were they arrive at the Schrodinger equation for one dimension with no external potential field. This is equation 2.8 on page 37 of this book. If you don’t have a copy of the book Google has scanned the book and below is a link to that scan so you can copy paste it into your browser. http://books.google.com/books?id=_q...ig=0e3r6SrD_LzYo3G0KPeuflefxyw&hl=en#PPA37,M1 Specifically, I don’t understand how they arrived at the variables that are multiplied against the partial derivatives on both sides of the equation. Some guidance would greatly be appreciated.