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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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41#
發(fā)表于 2025-3-28 17:30:03 | 只看該作者
Linear Harmonic Oscillator: I Solution of the Schr?dinger Equation and Relationship with the Classica quantum system along with its transition to the classical domain. It has applications in many problems in physics; e.g. in studying the vibrational spectra of molecules, quantum theory of radiation, etc. In this chapter, we will first obtain solutions of the onedimensional Schr?dinger equation cor
42#
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45#
發(fā)表于 2025-3-29 08:49:29 | 只看該作者
Dirac’s Bra and Ket Algebralowing Dirac, will be called as bra and ket vectors) and operators representing dynamical variables (like position coordinates, components of momentum 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
46#
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47#
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48#
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Book 2004ncepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clar
49#
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50#
發(fā)表于 2025-3-30 05:53:40 | 只看該作者
Angular Momentum I—The Spherical Harmonicsakes the values .(.+1) where . = 0, 1, 2, 3,... and for each value of . there is (2. + 1) fold degeneracy; i.e. there are (2. + 1) eigenfunctions correspongding to the same eigenvalue .(. + 1).. — these eigenfunctions are known as spherical harmonics and are denoted by ..(.)
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