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Titlebook: Quantum Mechanics: Theory and Applications; Ajoy Ghatak,S. Lokanathan Book 2004 Springer Science+Business Media B.V. 2004 Angular Momentum

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Bound State Solutions of the Schrödinger Equation, the one-dimensional time dependent Schrödinger equation [see Eq. (25) of Chapter 4] is given by .where . represents the mass of the particle. The above equation can be solved by using the method of separation of variables .Substituting in Eq. (1) and dividing by ψ(x, t), we obtain
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Dirac’s Bra and Ket Algebra and angular momentum) by matrices.. In the following two chapters we will use the bra and ket algebra to solve the linear harmonic oscillator problem and the angular momentum problem. In both the chapters we will show the advantage of using the operator algebra in obtaining solutions of various problems.
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Fourier TransformsFourier transforms play an important role in quantum mechanics and as such, we devote a (short) chapter giving a brief account of Fourier transforms.
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Experiments with Spin Half Particles The Stern-Gerlach Experiment, Larmor Precession and Magnetic ReThe analysis of the . problem is of great significance because it is not only of tremendous practical importance but it also allows us to understand some of the fundamental postulates of quantum mechanics.
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Angular momentum III Eigenfunctions Using Operator AlgebraIn Chapter 13 we had shown that we can have a set of simultaneous eigenkets of the operators J. and J.: . where . and
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The Double Well Potential and the Krönig-Penney ModelIn this chapter we will first discuss the solutions of the Schrödinger equation for the double well problem which will be followed by a discussion of the ammonia molecule as a two state system. We will also discuss the Krönig-Penney model leading to the formation of energy bands in a solid.
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