1. |
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Generalities of Quantum Mechanics And
Review of Classical
Theories
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Quantum Mechanics & IT/NT/BT.
harmonic oscillator, Boltzmann distribution function, equipartition theorem, mobility and conductivity, non-equilibrium distribution function |
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Review of Classical
Theories
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Maxwell's equations, E & H fields, plane waves & wave packets, band width & pulse duration |
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Milestones Leading to
Quantum Mechanics 1
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blackbody radiation & quantum of energy, photoelectric effect & photon, Compton scattering & particle nature of light |
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Milestones Leading to
Quantum Mechanics 2
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duality of matter, de Broglie wavelength, Bohr's theory of H-atom, atomic radius, quantized energy level, quantum transitions |
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2. |
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Schrodinger Wave Equation 1
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time-dependent SE, operator algebra & basic postulates, wavefunction, probability density, expectation value, |
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Schrodinger Wave Equation 2
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time-independent SE, eigenequation, eigenfunction, eigenvalue, commutation relation, conjugate variables & uncertaity relation, properties of eigenfunction |
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Bound States in
Quantum Well & Wire 1
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electrons in solids, bounbd states in infinite square well potential, quantized energy level, particle in 3D box, 1D, 2D & 3D densities of states |
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Bound States in
Quantum Well & Wire 2
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quantum well, quantum wire, subbands, particle in quantum well, particle in quantum wire |
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3. |
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Scattering & Tunneling of 1D Particle 1
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scattering at step potential, probability current density, reflection & transmission coefficients, scattering from quantum well, resonant transmission, tunneling & tunneling probability |
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Scattering & Tunneling of 1D Particle 2
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tunneling through a single & multiple potential barrier, resonant tunneling, direct & F-N tunneling, scanning tunneling microscopy, field emission display, single electron transistor |
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Energy Bands in Solids 1
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Kronig-Penny potential, Bloch wavefunction, secular equation & dispersion elation, allowed band & forbidden gap |
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Energy Bands in Solids 2
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E-k curves in 1st Brillouin zone, electron velocity in energy band, effective mass of electron, energy band & resonant tunneling |
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4. |
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Quantum Treatment of
Harmonic Oscillator 1
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eigenfunction & eigenenergy, energy spectrum, zero point energy, properties of eigenfunction, correspondence principle |
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Quantum Treatment of
Harmonic Oscillator 2
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uncertainty relation in eigenstate, HO in linearly superposed states, operator treatment of HO, creation & annihilation operators, number operator, phonon |
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Schrodinger Treatment of Hydrogen Atom 1
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angular momentum operators & commutation relations, spherical harmonics & spatial quantization, angular momentum & magnetic quantum numbers, atomic orbitals |
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Schrodinger Treatment of Hydrogen Atom 2
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electron-proton interaction, center of mass & relative motions, reduced mass, principal quantum number and energy eigenvalue, Bohr radius, atomic spectroscopy, degeneracy, reduced [probability density |
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5. |
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Perturbation Theory 1
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time-independent perturbation theory; non-degenerate & degenerate, Stark effect in H-atom, atomic polarizability |
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Perturbation Theory 2
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Time-dependent perturbation theory, harmonic perturbation, Fermi's golden rule |
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System of Identical
Particles 1
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electron spin and Pauli spin matrices, spin operators & spin eigenfunctions, two-electron system & Helium atom, ionization energies; 1st & 2nd, singlet & triplet states, overlap & exchange integrals |
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System of Identical
Particles 2
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multi-electron atoms and periodic table, electron configuration, ionization energy & screening of charge, affinity factor, spin-orbit coupling & fine structure of speectral lines, Zeeman effect, electron paramgnetic resonance, |
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6. |
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Molecules and Chemical Bonds 1
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ionized hydrogen molecule, overlap, Coulomb & exchange integrals, bonding & anti-bonding, binding energy |
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Molecules and Chemical Bonds 2
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hydrogen molecule, Heitler-London theory, covalent bond, ionic bond, Van der Waals attraction, polyatomic molecules, hybridization |
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Molecular Spectra 1
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Born-Oppenheimer approximation, rotational & vibrational spectra, selection rule, P & R branches, |
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Molecular Spectra 2
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nuclear spin & magnetic moment, hyperfine interaction & structure, Zeeman splitting, nuclear magnetic resonance, molecular imaging |
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7. |
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Atom-Field Interaction 1
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classical treatment; stimulated & spontaneous emission, Einstein A coefficient, atom-dipole, Rabi flopping formula |
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Atom-Field Interaction 2
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quantum treatment; quantization of EM field, creation, annihilation & number operators, photons |
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Interaction of EM
Waves with Optical
Media 1
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attenuation & amplification, dispersion, attenuation & gain coefficients, permittivity, atomic susceptibility |
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Interaction of EM
Waves with Optical
Media 2
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density matrix, relaxation times; longitudinal & transverse, laser oscillator, population inversion, rate equation, threshold pumping, laser intensity & frequency |
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8. |
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Semiconductor Statistics 1
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quantum statistics, conductor, insulator & semiconductor, Fermion, Boson, Fermi-Dirac distribution function, Bose-Einstein distribution function |
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Semiconductor Statistics 2
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electron density in conduction band, hole density in valence band, equilibrium, law of mass action, Fermi level. intrinsic & extrinsic semiconductors, donors, acceptors, Fermi potential |
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Carrier Transport 1
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mobility, drift velocity, diffusion coefficient, Einstein relation, current density, equilibrium & Fermi level |
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Carrier Transport 2
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non-equilibrium and quasi-Fermi level, generation & recombination; band to band & trap-assisted, recombination &generation rates,
minority carrier lifetime |
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9. |
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P-N Junction Diode:
I-V Behavior 1
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p-n junction in equilibrium & non-equilibrium, junction band bending, depletion depth, built-in potential, charge injection & extraction, |
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P-N Junction Diode:
I-V Behavior 2
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forward & reverse biases, forward & reverse currents, generation & recombination currents, junction breakdown; avalanche & Zener |
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P-N Junction Diode:
Applications 1
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optical absorption in semiconductors, absorption coefficient, photodiode, photocurrent, |
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P-N Junction Diode:
Applications 2
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junction solar cell, photovoltaic effect, open circuit voltage, short circuit current, LED, laser diode, superlattice structure & sub-bands |
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10. |
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Field Effect Transistors 1
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MOSFET, NMOS, PMOS, channel inversion, threshold voltage, surface charge, ON, OFF & subthreshold currents |
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Field Effect Transistors 2
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silicon nanowire FET, subband spectra, long & short channel FETs, ballistic FET, tunneling FET, subthreshold swing, thermionic & field emission |
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The Application and Novel Kinds of FETs 1
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Nonvolatile flash EEPROM programming, erasing & reading, solar cell; planar, multi-junction & nanowire |
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The Application and
Novel Kinds of FETs 2
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biosensor, ISFET, target molecule & probe molecule, spin FET, transport of spin up & down states, spin qubits and quantum computing, entanglement, parallel NOT operation |
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