Major changes are described. Small changes are not mentioned. All changes are marked by blue characters in the pdf file. May 20, 2008 - Page 20: Axiom 5.2: Continuum case is better described. - Page 21, top: Some words about "wave function collapse". - Page 21, Theorem 5.4: Proof simplified. - Page 21, bottom: (just before section 6.2 Schrodinger picture) Hermitian, linear -> unitary (important typo corrections!!!) - Page 22, at end of section 6.2: Some cautionary remarks added for U(t). - page 22, 4 lines above equation (6.5): "and also using Theorem 3.16" added - page 24: End of Fact 7.4 some grammatical errors corrected (I think) - page 25: The "note" after Theorem 8.1 became "Fact 8.2" Typo corrected: "normal" -> "natural" (bold faced part) - page 25, Definition 8.3: "(Very Important!!!)" added May 21, 2008 - page 18, Example 4.16, at end: "normal basis" -> "natural basis" - pages 21-24: Section 6, restructured, expanded, more explanations, subscript H for Heisenberg picture May 22, 2008 - page 23: H -> H_H June 1, 2008 - page 12: Def. 3.32 (degeneracy) added