Concerned strictly with the principles and formalism of quantum mechanics, this graduate student-oriented volume develops the subject as a fundamental discipline. Opening chapters review the origins of Schrödinger's equations and the nature of the solutions in certain simple and well-known cases, advancing to the ideas associated with vector spaces. Having provided students with the appropriate mathematical language, the author proceeds to the formulation of the main principles of quantum mechanics and their immediate consequences. The book concludes with final generalizations in which alternative "languages" or representations are discussed — each with reference to its specific advantages and applications — and the Dirac transformation theory is developed and explained. advanced mathematics; science and math; fundamentals; physics; math theory; applied math; basic vectors; angular momentum; boundary conditions; coefficients; equations; math studies; advanced undergraduate studies; graduate level studies; self study; educational; scientific language; technology; career; phenomenon; theoretical; scientists; students and teachers; quantum mechanics; Dirac transformation theory ; Schrödinger's equations ; physics; quantum theory
