3. Quantum Tests (II)

In this lecture, I’ve discussed the interference postulate and its necessity in order to make the theory self-consistent. Then, formulated only the “experimental observations” and showed how matrices (and linear algebra as a whole) are well candidates for being used to formulate the theory. Transition amplitudes are defined and “chosen” to form unitary matrices (using the phase/gauge freedom). Up to now, nothing has came out of nowhere (and no wavefunction or state “vectors” have been defined or postulated). In next session, We use the advantage of linear algebra and define all these mathematical objects for convenience. Here is the references of this session:

[1]: A. Landé, Foundations of Quantum Theory: A Study in Continuity and Symmetry, Yale Univ. Press, New Haven (1955).

[2]: Y. Aharonov, P. G. Bergmann, and J. L. Lebowitz, Phys. Rev. 134B (1964) 1410.

[3]: H. Poincaré, Théorie mathématique de la lumière, Carré, Paris (1892) Vol. II, p. 275.