Introductory Quantum Mechanics by Richard L. Liboff File Name: liboff quantum mechanics 4th pdf. Send an email to the instructor at sergiy. The course introduces the concept of the wave function, its interpretation, and covers the topics of potential wells, potential barriers, quantum harmonic oscillator, and the hydrogen atom. Next, a more formal approach to quantum mechanics is taken by introducing the postulates of quantum mechanics, quantum operators, Hilbert spaces, Heisenberg uncertainty principle, and time evolution.
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In Part I, Chapters 1 to 8, fundamenta In Part I, Chapters 1 to 8, fundamental concepts are developed and these are applied to problems predominantly in one dimension.
In Part II, Chapters 9 to 14, further development of the theory is pursued together with applications to problems in three dimensions. The second chapter continues with a historical review of the early experiments and theories of quantum mechanics.
The postulates of quantum mechanics are presented in Chapter 3 together with development of mathematical notions contained in the statements of these postulates. The time-dependent Schrodinger equation emerges in this chapter. Download Button of this Chapter Notes is at the end of this post Solutions to the elementary problems of a free particle and that of a particle in a one-dimensional box are employed in Chapter 4 in the descriptions of Hilbert space and Hermitian operators.
These abstract mathematical notions are described in geometrical language which I have found in most instances to be easily understood by students. The cornerstone of this introductory material is the superposition principle, described in Chapter 5.
In this principle the student comes to grips with the inherent dissimilarity between classical and quantum mechanics. Commutation relations and their relation to the uncertainty principle are also described, as well as the concept of a complete set of commuting observables. Quantum conservation principles are presented in Chapter 6. Applications to important problems in one dimension are given in Chapters 7 and 8. Creation and annihilation operators are introduced in algebraic construction of the eigen states of a harmonic oscillator.
Chapter 8 is devoted primarily to the problem of a particle in a periodic potential. Part II begins with a quantum mechanical description of angular momentum.
Fundamental commutator relations between the Cartesian components of angular momentum serve to generate eigenvalues. These commutator relations further indicate compatibility between the square of total angular momentum and only one of its Cartesian components. Properties of angular momentum developed in this chapter are reemployed throughout the text. In Chapter 11 the theory of representations and elements of matrix mechanics are developed for the purpose of obtaining a more complete description of spin angular momentum.
The theory of the density matrix is developed and applied to a beam of spinning electrons. In Chapter 12 proceeding formalisms are employed in conjunction with the Pauli principle, in the analysis of some basic problems in atomic and molecular physics. Perturbation theory is developed in Chapter Among the many applications included is that of the problem of a particle in a periodic potential, considered previously in Chapter 8.
The text concludes with a brief chapter devoted to an elementary description of the quantum theory of scattering. Problems abound throughout the text, and many of them include solutions. Figures are also plentiful and hopefully lend to the instructional quality of the writing. A small introductory paragraph precedes each chapter and serves to knit the material together. A list of symbols appears before the appendixes.
Introductory Quantum Mechanics by Liboff Richard