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Topics like Identical Particles, Multielectron Atoms and Molecules & the assignment help on these topics is really helpful if you are struggling with the complex problems.Mathematics of Quantum Mechanics.
- Development of QM , The Time-Independent 1-D Schrodinger Equation , The Time-Independent 3-D Schrodinger Equation , Spin Angular Momentum , Time-Independent Perturbation Theory , Scattering Theory , Relativistic Quantum Mechanics , raising and lowering operators for the simple-harmonic oscillator, Angular Momentum in a coordinate basis and operator identities, Expansion of plane waves in spherical harmonics, Spin one half, Addition of angular momenta
- Center of Mass coordinates and the two-body problem, Bound state of the Hydrogen atom in a coordinate basis, Bound state of the Hydrogen atom using an operator formalism, Nondegenerate perturbation theory, Wigner-Brillouin perturbation theory, Degenerate Perturbation Theory, Formalism development, Atomic Fine Structure, Hydrogen atom in an external magnetic field, The Stark effect and spin , Introduction to scattering, 3d scattering and the generalized optical theorem
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Quantum Mechanics for Engineering
- Basics of quantum mechanics
- Schrodinger Wave Equation
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- Quantization in atoms
- Engineered semiconductor heterostructures
- Interaction of radiation and atomic systemsbasic principles and applications of quantum mechanics,Operators and the general structure of quantum mechanics,observables,orthonormality of eigenstates,expansion theorem,commuting operators,matrix quantum mechanics,Theory of measurement and collapse of wave function,harmonic oscillator in operator formalism ,Angular momentum theory and the Hydrogen atom,the rigid rotator ,applications to rotation-vibration spectra of diatomic molecules,Spin in quantum mechanics illustrated with spin 1/2,matrix representations,Stern-Gerlach experiments and measurement theory exemplified ,Quantum systems with external electric and/or magnetic fields ,Stern-Gerlach experiment,Zeeman effect and electron precession in magnetic field,time-independent perturbation theory ,addition of angular momentum,
- interpret atomic phenomena.,the Bohr Atom and De Proglie Hypothesis,Schroedinger Equation ,probability interpretation,uncertainty relations ,Mathematical formalism of the theory, matrices,1-D problems,tunneling,barriers,1-D scattering,Harmonic Oscillator,creation and destruction operators,coherent states,3-D concepts:,Angular momentum,spin,Hydrogen atom.,time independent perturbation theory,,Particle Nature of Waves: Plank, Einstein, Compton
- Wave Nature of Particles: deBroglie, Bohr,Philosophy of Quantum Theory,Wave Function,Normalization & Uncertainty Principle,Time-independent Schrödinger’s Equation,Stationary States,infinite square well, Simple Harmonic Oscillator,The free particle,Barrier Potentials,Delta-Function Potential,Square Well Potentials,Hilbert Space,Hermitian Operator,Hydrogen Atom,Eigenvalues, Quantum Numbers, Degeneracy,Angular Momentum,Electron Spin, Spin-Orbit Interaction,Identical Particles,Exchange Interactions,,Perturbation theory
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Few Topics are:
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- harmonic oscillator
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- Fermi gas