Ideas of Quantum Chemistry P14 shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field. | 96 3. Beyond the Schrödinger Equation v while O flies from O with velocity -v but the space is isotropic. The same has to happen with the time measurements on board O . t and on board O . t therefore D D. Since from the inverse transformation matrix 4 ADD_BC and D ad-bc therefore we have D A. A D. AD - BC AD - BC From this A d follows or A2 D2. From the two solutions A D and A -D one has to choose only A D because the second solution would mean that the times t and t have opposite signs . when time run forwards in O it would run backwards in O . Thus we have A D. THE GALILEAN TRANSFORMATION The equality condition A D is satisfied by the Galilean transformation in which the two coefficients are equal to 1 x x - vt t t where position x and time t say of a passenger in a train is measured in a platform-fixed coordinate system while x and t are measured in a train-fixed coordinate system. There are no apparent forces in the two coordinate systems related by the Galilean transformation. Also the Newtonian equation is consistent with our intuition saying that time flows at the same pace in any coordinate system. THE MICHELSON-MORLEY EXPERIMENT Hendrik Lorentz indicated that the Galilean transformation represents only one possibility of making the apparent forces vanish . assuring that A D. Both constants need not be equal to 1. As it happens that such a generalization is forced by an intriguing experiment performed in 1887. Michelson and Morley were interested in whether the speed of light differs when measured in two laboratories moving with respect to one another. According to the Galilean transformation the two velocities of light should be different in the same way as the speed of train passengers measured with respect to the platform A glimpse of classical relativity theory 97 Galileo Galilei 1564-1642 Italian scientist professor of mathematics at the University of Pisa. Only those who have visited Pisa are able to appreciate the
