QUANTUM MECHANICS AND APPLICATIONS
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![](https://www.facebook.com/dialog/feed?app_id=1767574003460647&link=https://bsc-physics-notes-online.myinstamojo.com/product/5312130/quantum-mechanics-and-applications&picture=https://storeassets.im-cdn.com/media-manager/bsc-physics-notes-online/5Z7qzc0KQzmc3BL2U2zi_QM1.png&name=QUANTUM MECHANICS AND APPLICATIONS&caption=undefined&description=<h2 class="ql-align-center"><strong> Topics Covered in Notes</strong></h2><p><br></p><h4>Time dependent Schrodinger equation: Time dependent Schrodinger equation and dynamical evolution of a quantum state; Properties of Wave Function. Interpretation of Wave Function Probability and probability current densities in three dimensions; Conditions for Physical Acceptability of Wave Functions. Normalization. Linearity and Superposition Principles. Eigenvalues and Eigen functions. Position, momentum and Energy operators; commutator of position and momentum operators; Expectation values of position and momentum. Wave Function of a Free Particle. (10 Lectures)</h4><p><br></p><h4>Time independent Schrodinger equation-Hamiltonian, stationary states and energy eigenvalues; expansion of an arbitrary wavefunction as a linear combination of energy eigen functions; General solution of the time dependent Schrodinger equation in terms of linear combinations of stationary states; Application to spread of Gaussian wave-packet for a free particle in one dimension; wave packets, Fourier transforms and momentum space wavefunction; Position-momentum uncertainty principle. (12 Lectures)</h4><p><br></p><h4>General discussion of bound states in an arbitrary potential- continuity of wave</h4><h4>function, boundary condition and emergence of discrete energy levels; application to one-dimensional problem-square well potential; Quantum mechanics of simple harmonic oscillator-energy levels and energy eigenfunctions using Frobenius method; Hermite polynomials; ground state, zero point energy & uncertainty principle. (10 Lectures)</h4><p><br></p><h4>Quantum theory of hydrogen-like atoms: time independent Schrodinger equation in spherical polar coordinates; separation of variables for second order partial differential equation; angular momentum operator & quantum numbers; Radial wave functions from Frobenius method; shapes of the probability densities for ground and first excited states; Orbital angular momentum quantum numbers l and m; s, p, (10 Lectures)</h4><p><br></p><h4>Atoms in Electric and Magnetic Fields: Electron angular momentum. Space quantization. Electron Spin and Spin Angular Momentum. Larmor’s Theorem. Spin Magnetic Moment. Stern-Gerlach Experiment. Normal Zeeman Effect: Electron</h4><h4>Magnetic Moment and Magnetic Energy. (8 Lectures)</h4><p><br></p><h4>Many electron atoms: Pauli’s Exclusion Principle. Symmetric and Antisymmetric Wave Functions. Spin orbit coupling. Spectral Notations for Atomic States. Total angular momentum. Spin-orbit coupling in atoms-L-S and J-J couplings.</h4><h4> (8 Lectures)</h4><p><br></p><p><br></p><h3>Suggested Books in Syllabus:</h3><ul><li><span style="color: rgb(204, 0, 0);">A Text book of Quantum Mechanics, P.M. Mathews and K. Venkatesan, 2nd Ed., 2010, McGraw Hill.</span></li><li><span style="color: rgb(204, 0, 0);">Quantum Mechanics, Robert Eisberg and Robert Resnick, 2nd Edn., 2002, Wiley.</span></li><li><span style="color: rgb(204, 0, 0);">Quantum Mechanics, Leonard I. Schiff, 3rd Edn. 2010, Tata McGraw Hill.</span></li><li><span style="color: rgb(204, 0, 0);">Quantum Mechanics for Scientists & Engineers, D.A.B. Miller, 2008, Cambridge.</span></li><li><span style="color: rgb(204, 0, 0);">Quantum Mechanics, Eugen Merzbacher, 2004, John Wiley and Sons, Inc.</span></li><li><span style="color: rgb(204, 0, 0);">Introduction to Quantum Mechanics, D.J. Griffith, 2nd Ed. 2005, Pearson Education.</span></li></ul><p><br></p>&redirect_uri=http://www.facebook.com)
QUANTUM MECHANICS AND APPLICATIONS
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Topics Covered in Notes
Time dependent Schrodinger equation: Time dependent Schrodinger equation and dynamical evolution of a quantum state; Properties of Wave Function. Interpretation of Wave Function Probability and pr
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