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Resume / Bio
| | Norman J. Horing | | Professor | | Location: | 520A Burchard | | Phone: | 201.216.5651 | | Fax: | 201.216.5638 | | Email: | nhoring@stevens.edu |
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PEP 503:Introduction to Solid State Physics
Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics. |
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PEP 111:Mechanics
Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, center-of-mass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound. |
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PEP 112:Electricity and Magnetism
Coulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and R-C transient circuits, magnetic fields, Ampere’s law, Faraday’s law of induction, inductance, A/C circuits, electromagnetic oscillations, Maxwell’s equations and electromagnetic waves. |
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PEP 242:Modern Physics
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. |
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PEP 331:Electromagnetism
Second semester, three credits. Electrostatics; Coulomb-Gauss Law; Poisson-Laplace equations; boundary value problems; image techniques, dielectric media; magnetostatics; multipole expansion, electromagnetic energy, electromagnetic induction, Maxwell's equations, electromagnetic waves, waves in bounded regions, wave equations and retarded solutions, simple dipole antenna radiation theory, transformation law of electromagnetic fields. |
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PEP 542:Electromagnetism
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory. |
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PEP 332:Math Methods for Physics
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric i
nterpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials. Applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation). Introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations. Orthogonal curvilinear coordinates (general, also spherical, and cylindrical). N-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation. Tensors and pseudotensors in n-dimensions. Similarity transformations and diagonalization of Hermitian and unitary matrices, eigenvectors, and eigenvalues of Hermitian and unitary matrices, and Schmidt orthogonalization. Applications to coupled oscillators, rigid body dynamics, etc. Linear independence and completeness. Functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. |
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PEP 528:Mathematical Methods for Physics and Engineering II
Introduction to Hilbert space, function vectors, completeness in the strong and weak senses, expansion in complete orthonormal sets of functions, and Schmidt orthgonalization. The Weierstrass theorem and completeness of eigenfunctions of a hermitian operator; dirac/dyadic notation. Legendre polynomials, spherical harmonics, Fourier series and integral, Laplace transform, and multipole expansion. Ordinary differential equations, and ordinary point and iteration series solution and power series method, Hermite equation, Schrödinger equation for harmonic oscillator. Regular singular point and the method of Frobenius, including the second solution, and Bessel equation. Sturm-Liouville systems and weighted complete orthonormal sets of eigenfunctions, and Green’s function determination and solution of the inhomogeneous problem. Partial differential equations, heat equation, wave equation, Poisson equation, solution by transform techniques, and Green’s function solution of inhomogeneous initial value and boundary value problems. Linear integral equations, iteration series solution, convergence, Kernels separable in several parts, Hilbert-Schmidt theory, Fredholm theory, and Volterra equation. Spring semester. |
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PEP 538:Introduction to Mechanics
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations. |
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PEP 544:Introduction to Plasma Physics and Controlled Fusion
Plasmas in nature and application of plasma physics; single particle motion; plasma fluid theory; waves in plasmas; diffusion and resistivity; equilibrium and stability; nonlinear effects and thermonuclear reactions; the Lawson condition; magnetic confinement fusion; and laser fusion. Fall semester. Typical text: F.Chen, Plasma Physics. |
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PEP 642:Mechanics
Lagrangian and Hamiltonian formulations of mechanics, rigid body motion, elasticity, mechanics of continuous media, small vibration theory, special relativity, canonical transformations, and perturbation theory. Typical text: Goldstein, Classical Mechanics. |
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PEP 643:Electricity and Magnetism I
Electrostatics, boundary value problems, Green’s function techniques, methods of image, inversion, and conformal mapping; multipole expansion. Magnetostatics, vector potential. Maxwell’s equations and conservation laws. Electromagnetic wave propagation in media. Crystal optics. Fall semester. Typical texts: Jackson, Classical Electrodynamics; Landau and Lifshitz, Electrodynamics in Continuous Media. |
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PEP 644:Electricity and Magnetism II
Interaction of electromagnetic waves with matter, dispersion, waveguides and resonant cavities, radiating systems, scattering and diffraction, covariant electromagnetic theory, motion of relativistic particles in electromagnetic fields, relativistic radiation theory, radiation damping, and self-fields. Spring semester. Typical texts: Jackson, Classical Electrodynamics and Landau and Lifshitz, The Classical Theory of Fields, Electrodynamics in Continuous Media. |
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PEP 667:Statistical Mechanics
Advanced transport theory, classical statistical mechanics, fluctuation theory, quantum statistical mechanics, ideal Bose and Fermi gases, imperfect gases, phase transitions, superfluids, I
sing model critical phenomena, and renormalization group. Typical text: Huang, Statistical Mechanics. |
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PEP 700:Quantum Electron Physics and Technology Seminar
This seminar is focused on nanostructure-scale electron systems that are so small that their dynamic and statistical properties can only be properly described by quantum mechanics. This includes many submicron semiconductor devices based on heterostructures, quantum wells, superlattices, etc., and it interfaces solid state physics with surface physics and optics. Outstanding visiting scientists make presentations, as well as some faculty members and doctoral research students discussing their thesis work and related journal articles. Participation in these seminars is regarded as an important part of the research education of a physicist working in condensed matter physics and/or surface physics and optics. One credit per semester. PEP 700 and PEP 701 may be taken for up to three credits. |
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PEP 754:Advanced Quantum Mechanics
This course is an introduction to relativistic quantum mechanics and quantum field theory. Relativistic wave equations, including the Klein-Gordon equation and the Dirac equation. Commutation relation and canonical quantization of free fields. Spin and statistics of Bose and Fermi fields. Interacting quantum fields: interaction representation and S-matrix perturbation theory, Feynman diagrams, and renormalization theory with applications to quantum electrodynamics. Typical texts: Advanced Quantum Mechanics by J. J. Sakurai and Quantum Field Theory by F. Mandl and G. Shaw. |
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PEP 757:Quantum Field Theory Methods in Statistical and Many-Body Physics
Dirac notation; Transformation theory; Second quantization; Particle creation, and annihilation operators; Schrödinger, Heisenberg, and interaction pictures; linear response; S-matrix; density matrix; superoperators and non-Markovian kinetic equations; Schwinger action principle and variational calculus; quantum Hamilton equations; field equations with particle sources, potential, and phonon sources; retarded Green’s functions; localized state in continuum and chemisorption; Dyson equation; T-matrix; impurity scattering; self-consistent Born approximation; density-of-states; Green's function matching; ensemble averages and statistical thermodynamics, Bose, and Fermi distributions, and Bose condensation; thermodynamic Green’s functions; Lehmann spectral representation; periodicity/antiperiodicity in imaginary time and Matsubara Fourier series/frequencies; analytic continuation to real time; multiparticle Green’s functions and equations of motion with particle-particle interactions; Hartree and Hartree-Fock appro
ximations; collisional lifetime effects; sum-of-ladder-diagrams integral equation; nonequilibrium Green’s functions; electromagnetic current-current correlation response; exact variational relations for multiparticle Green’s functions; cumulants; linked cluster theorem; random phase approximation; perturbation theory for Green’s functions, self-energy, and vertex functions by variational differential formulation; shielded potential perturbation theory; and imaginary time contour ordering, Langreth algebra, and the GKB Ansatz. Typical texts: Kadanoff and Baym, Quantum Statistical Mechanics, W. A. Benjamin and Horing, and Advanced Quantum Mechanics for Interacting and Mesoscopic Systems. Fall semester. Prerequisites include a good mathematical background in linear algebra and multivariable calculus. |
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PEP 758:Coupled Quantum Field Theory Methods in Condensed Matter Physics
Dielectric response of solid state plasmas; random phase approximation; semiclassical and hydrodynamic models; plasmons; shielding; electron-hole plasmon Landau damping; exchange and correlation energy; atom-surface van der Waals attraction; charged particle energy loss; electrodynamic response functions; dyadic Green’s functions; dynamic, nonlocal conductivity, and dielectric tensors; polaritons of compound nanostructures; coupling of light with 3-D, 2-D, and superlattice collective modes; electron(e) - hole (h) - phonon (p) Hamiltonian for solids with e-e, h-h, e-p, h-p, and e-h interactions explained; Coupled electron-hole-phonon Green’s functions of all orders and derivation of the fully-interacting equations of motion for 1-electron and 1-hole Green’s functions and for 2-electron and 2-hole Green’s functions, as well as the electron-hole Green’s function with analysis of exciton states and electron-hole scattering matrix; electron-phonon coupling effects on electron propagation and polarons; phonons of periodic lattice in the harmonic approximation, eigenvector expansion of phonon Green’s functions for monatomic and ionic diatomic lattices, acoustic and optical phonons, and polarizability of a diatomic lattice; Phonon Green’s function with coupling to dynamic nonlocal electron screening, umklapp, coupled ion-electron oscillations, and Bohm-Staver phonon dispersion relation; generalized shield potential approximation; electron and hole interaction operators; superfluid field operators and the Gross-Pitaevski equations; Bogoliubov approximation, superfluid Green’s functions, and elementary excitations; superconductivity-BCS Theory, anomalous Green’s functions, and Gorkov equations, gap, derivation of Ginzburg-Landau equations. Typical text: Horing, Advanced Quantum Mechanics for Interacting and Mesoscopic Systems; Mahan, Many-Particle Physics, Plenum Press; and recommended readings. Spring semester. |
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PEP 960:Research in Physics
Original experimental or theoretical research undertaken under the guidance of the faculty of the department which may serve as the basis for the dissertation required for the degree of Doctor of Philosophy. Hours and credits to be arranged. This
course is open to students who have passed the doctoral qualifying examination; a student who has already taken the required doctoral courses may register for this in the term in which s/he intends to take the qualifying examination. |
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PEP 532:Mathematical Methods for Physics
Description is not available. |
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| | School: Schaefer School of Engineering & Science | | Department: Physics and Engineering Physics | Program: Physics / Nanotechnology
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| | | Research | | Quantum Field Theoretic Green's Function Methods in Many-Body Problems, Solid State and Surface Physics Correlation Phenomena, Collective Modes in Low Dimensional Systems Quantum Transport Theory for Semiconductor Nanostructures, Superlattices High Magnetic Field PhenomenaSemiconductor Nanostructure DevicesSpintronicsGraphene |
| | | Education | | PhD - Theoretical Physics, Harvard University, 1964 Advisor: Julian Schwinger |
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| | | General Information | - MIT Lincoln Lab & National Magnet Lab, Cambridge, Mass., 1960-1965
- Visiting Lecturer: Cavendish Lab, Cambridge Univ., England, 1965-1966
- Staff Physicist: US Naval Research Lab, Washington, D.C., 1966
- Stevens Inst. of Tech: Assistant, Associate & Full Professor, 1966-Present
| | Institutional Service | - Director, Academic Support Center, Stevens Inst. of Tech., 1987-1993
- Consultant to Dean of Faculty, Stevens Inst. of Tech., 1986-1992
- Elderhostel Coordinator, Stevens Inst. of Tech., 1978-1989
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| | | Appointments | - Advisor to over 15 PhD Theses in Theoretical Condensed Matter Physics at Stevens and 3 PhD Theses in Europe (two at Humboldt University, Berlin, Germany, and one at University of Paris, France).
- PhD Thesis Committee Member for many doctoral theses.
- Supervisor of over 10 Postdoctoral Researchers and Visiting Scholars at Stevens.
| | Consulting Service | - Consultant US Army Electronics Command, Fort Monmouth, NJ, 1971
- US Naval Research Res. Lab, Semicond Branch, Wash. DC, 1966-1971
- Consultant to NEC Research Inst., Princeton, NJ, 1990-1995
| | Technogenesis Service | | Research and Course Development to Support Technogenesis Activities |
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| | | Honors & Awards | Fellow of the New York Academy of Sciences, 2006 Henry Morton Distinguished Teaching Professor Award, 2005 Research Recognition Award, Stevens Inst. of Tech, 2004 Advisory Comm., Phys. & Astron. Sect., NY Acad. of Sci., 1988-1989 Jess H. Davis Research Prize, Stevens Inst. of Tech., 1986 M. Engr. (Honorary Degree) Stevens Inst. Tech., Hoboken, NJ, 1982
| | Grants, Contracts & Funds | - DURINT Program of the ARO 2001-2006: $500,000
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| | | Professional Societies | | American Physical Society New York Academy of Sciences Society of the Sigma Xi: Vice President of Stevens Chapter, 1993 IEEE, Materials Research Society European Physical Society
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| | Journals
N.J.M. Horing, T. Yu. Bagaeva & V.V. Popov. "Excitation of Radiative Polaritons in a 2D Excitonic Layer by a Light Pulse", J. Optical Soc. America, B24, 2428 , AIP (2007).
N.J.M. Horing & L.Y. Chen. "Inverse Dielectric Function of a Lateral Quantum Wire Superlattice Parallel to the Interface of a Plasma-Like Semiconductor", Phys. Rev. B 74, 195336, AIP (2006) :[Also reprinted in the Virtual Journal of Nanoscale Science of Technology, Dec. 11, 2006].
N. J. M. Horing, M. L. Glasser & B. Dong. "Dynamic & Statistical Thermodynamic Properties of Electrons in a Thin Quantum Well in a Parallel Magnetic Field", J. Phys. C: Condensed Matter, 18, p. 2573, IOP (2006).
N. J. M. Horing & L. Y. Chen. "Magneto-Image Effects in the van der Waals Interaction of an Atom and a Bounded Dynamic Nonlocal Plasma-like Medium", Phys. Rev. A66, p. 042905, AIP (2002).
S.Y. Liu, N.J.M. Horing & X.L. Lei. "Inverse Spin Hall Effect by Spin Injection", Applied Physics Letters 91, 122508, AIP (2007).
N.J.M. Horing. "Quantum Theory of Electron Gas Plasma Oscillations in a Magnetic Field", Annals of Physics (NY) 31, 1 (1965).
N.J.M. Horing, M.M. Yildiz. "Quantum-Theory of Longitudional Dielectric Response Properties of a 2-Dim
ensional Plasma in a Magnetic-Field", Annals of Physics (NY) 97, 216 (1976).
X. L. Lei, N. J. M. Horing & Hl Cui. "Theory of Negative Differential Conductivity In a Superlattice Miniband", Physical Review Letters 66 (25), 3277, AIP (1991) .
H.L. Cui, V. Fessatidis & N.J.M. Horing. "Commensurability Oscillations in Magnetoplasmons of a Density-Modulated Two-Dimensional Electron-Gas", Phys. Rev. Lett. 63, 2598, AIP (1989).
B. Dong, N. J. M. Horing & H. L. Cui. "Inelastic Cotunneling-Induced Decoherence & Relaxation, Charge & Spin Currents in an Interacting Quantum Dot Under a Magnetic Field", Physical Review B72, 165326, AIP (2005); [Also reprinted in the Virtual Journal of Nanoscale Science and Technology, October 31, 2005].
B. Dong, N.J.M. Horing and X.L. Lei. "Qubit Measurement by a Quantum Point Contact: a Quantum Langevin Equation Apporach", Phys. Rev. B 74, 033303, AIP (2006): [Also reprinted in the Virtual Journal of Nanoscale Science and Technology, July 18, 2006; and in the Virtual Journal of Quantum Information, July 2006].
N. J. M. Horing. "Nonlinear Polarizability & Plasmon Resonances in THz Photoconductivity", Solid State Comm.137, 338 (2006).
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Physics and Engineering Physics Department Knut Stamnes, Director |
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