Melvin Lax
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American physicist
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Physics
Why Is Melvin Lax Influential?
(Suggest an Edit or Addition)According to Wikipedia, Melvin Lax was a distinguished professor of physics at City College of New York and was elected a member of the National Academy of Sciences in 1983, and notable for his contributions to research of random processes in physics. He was the chairman of the Theoretical Physics Department at Bell Labs from 1962 to 1964. He was also a Fellow of the American Academy of Arts and Sciences, the American Physical Society, the American Association for the Advancement of Science, and the Optical Society of America.
Melvin Lax's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Franck‐Condon Principle and Its Application to Crystals (1952) (986)
- Multiple Scattering of Waves (1951) (828)
- Stochastic Transport in a Disordered Solid. I. Theory (1973) (821)
- From Maxwell to paraxial wave optics (1975) (721)
- Cascade Capture of Electrons in Solids (1960) (683)
- MULTIPLE SCATTERING OF WAVES. II. THE EFFECTIVE FIELD IN DENSE SYSTEMS (1952) (564)
- Temperature rise induced by a laser beam (1977) (561)
- Impurity-Band Tails in the High-Density Limit. I. Minimum Counting Methods (1966) (456)
- Stochastic Transport in a Disordered Solid. II. Impurity Conduction (1973) (405)
- Fluctuations from the Nonequilibrium Steady State (1960) (403)
- Optimum testing of multiple hypotheses in quantum detection theory (1975) (372)
- Quantum Noise. XI. Multitime Correspondence between Quantum and Classical Stochastic Processes (1968) (281)
- Quantum Noise. IV. Quantum Theory of Noise Sources (1966) (279)
- Classical Noise. V. Noise in Self-Sustained Oscillators (1967) (267)
- Infrared Lattice Absorption in Ionic and Homopolar Crystals (1955) (267)
- Symmetry Principles in Solid State and Molecular Physics (1974) (249)
- FORMAL THEORY OF QUANTUM FLUCTUATIONS FROM A DRIVEN STATE (1963) (242)
- Temperature rise induced by a laser beam II. The nonlinear case (1978) (229)
- Classical Noise IV: Langevin Methods (1966) (225)
- Coherent-medium approximation in the stochastic transport theory of random media (1981) (206)
- Multiple-parameter quantum estimation and measurement of nonselfadjoint observables (1973) (198)
- Principles of quantum electronics (1980) (146)
- Quantum Noise. X. Density-Matrix Treatment of Field and Population-Difference Fluctuations (1967) (142)
- Classical Noise. VI. Noise in Self-Sustained Oscillators near Threshold (1967) (138)
- Selection Rules Connecting Different Points in the Brillouin Zone (1961) (113)
- Maxwell equations in material form (1976) (112)
- Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics (1971) (93)
- New Symmetry for Acousto-Optic Scattering (1970) (92)
- Analysis of intrinsic recombination radiation from silicon and germanium (1959) (91)
- Quantum noise IX: Quantum Fokker-Planck solution for laser noise (1967) (88)
- Impurity-Band Tails in the High-Density Limit. II. Higher Order Corrections (1967) (86)
- Partition fluctuations in nearly single-longitudinal-mode lasers (1984) (78)
- Theory of the Photoelastic Interaction (1971) (77)
- Intervalley-Scattering Selection Rules in III-V Semiconductors (1966) (77)
- FLUCTUATION AND COHERENCE PHENOMENA IN CLASSICAL AND QUANTUM PHYSICS. (1968) (76)
- Free-space wave propagation beyond the paraxial approximation (1983) (74)
- Generalized Mobility Theory (1958) (73)
- One-Dimensional Impurity Bands (1958) (72)
- Channeling of Intense Electromagnetic Beams (1981) (68)
- Influence of trapping, diffusion and recombination on carrier concentration fluctuations (1960) (66)
- Classical Noise III: Nonlinear Markoff Processes (1966) (66)
- Optical tomographic image reconstruction from ultrafast time-sliced transmission measurements. (1999) (62)
- Free-Carrier Absorption in n-Type Ge (1958) (58)
- Quantum noise VII: The rate equations and amplitude noise in lasers (1967) (58)
- BROADENING OF IMPURITY LEVELS IN SILICON (1955) (56)
- Brillouin Scattering in Anisotropic Media: Calcite (1972) (55)
- Thermal capture of electrons in silicon (1957) (53)
- Beam-propagation analysis of stripe-geometry semiconductor lasers: Threshold behavior (1983) (52)
- End correction in the quasi-fast Hankel transform for optical propagation problems. (1981) (50)
- Renewal Theory and ac Conductivity in Random Structures (1977) (49)
- Spectral analysis of economic time series (2006) (48)
- Quantum Noise. XII. Density-Operator Treatment of Field and Population Fluctuations (1969) (46)
- Time-resolved optical diffusion tomographic image reconstruction in highly scattering turbid media. (1996) (46)
- Subgroup Techniques in Crystal and Molecular Physics (1965) (45)
- Optical Investigations of Impurity Levels in Silicon (1953) (44)
- The Effect of Radiation on the Vibrations of a Circular Diaphragm (1944) (44)
- ac Hopping Conductivity of a One-Dimensional Bond-Percolation Model (1980) (43)
- Quantum relaxation, the shape of lattice absorption and inelastic neutron scattering lines (1963) (41)
- Junction current and luminescence near a dislocation or a surface (1978) (40)
- Absorption and Scattering for Impedance Boundary Conditions on Spheres and Circular Cylinders (1948) (40)
- Thermal Ionization and Capture of Electrons Trapped in Semiconductors (1955) (39)
- Spontaneous phonon decay selection rule: N and U processes (1981) (39)
- Some exact properties of hopping conduction (1982) (38)
- Photon migration in turbid media using a cumulant approximation to radiative transfer. (2002) (37)
- Mathematical model of honeycomb construction (1986) (37)
- Monte Carlo study of lattice polymer dynamics (1977) (36)
- High Temperature Susceptibility of Permanent Dipole Lattices (1953) (34)
- Photon-transport forward model for imaging in turbid media. (2001) (33)
- Random Processes In Physics And Finance (2006) (33)
- Electromagnetic-field distribution in loaded unstable resonators (1985) (33)
- Intervalley scattering selection rules for Si and Ge (1972) (32)
- Continuous time random walk model of hopping transport: Application to impurity conduction (1972) (31)
- Dipoles on a Lattice : the Spherical Model (1952) (31)
- Exact photocount statistics : lasers near threshold (1973) (31)
- Analytic evaluation of interference effects on laser output in a Fabry–Perot resonator (1981) (30)
- Hopping conduction in the d -dimensional lattice bond-percolation problem (1983) (30)
- Effects of interference on gain saturation in laser resonators (1979) (30)
- Phonon magnification and the Gaussian curvature of the slowness surface in anisotropic media: detector shape effects with application to GaAs (1980) (30)
- On optimal quantum receivers for digital signal detection (1970) (29)
- Quadrupole Interactions and the Vibration Spectra of Diamond Type Crystals (1958) (29)
- A Direct Enumeration Study of Self-Avoiding Walks Terminally Attached to a Surface (1974) (29)
- PRODUCTION OF MESONS BY PHOTONS ON NUCLEI (1951) (29)
- On the Radiation Problem at High Frequencies (1947) (29)
- Molecular Field in the Spherical Model (1955) (28)
- The Lax–Onsager regression `theorem' revisited (2000) (27)
- Anomalous diffraction of light with geometrical path statistics of rays and a Gaussian ray approximation. (2003) (27)
- Diffusion coefficient depends on time, not on absorption. (2002) (24)
- What is a random process (2006) (22)
- Analytical solution of the polarized photon transport equation in an infinite uniform medium using cumulant expansion. (2000) (22)
- Polymer chain statistics and universality. I (1978) (22)
- Linear elasticity and piezoelectricity in pyroelectrics (1976) (22)
- Numerical study of the statistical thermodynamic properties of a surface-interacting polymer chain (1974) (21)
- Monte Carlo study of polyelectrolyte behavior. I. Technique (1981) (20)
- Phonon optics in semiconductors: phonon generation and electron-phonon scattering in n-GaAs epilayers: I. Theory (1981) (20)
- Exact solution to the stationary holographic four-wave mixing in photorefractive crystals (1985) (20)
- Analytical solution of the elastic Boltzmann transport equation in an infinite uniform medium using cumulant expansion (2000) (20)
- Relation Between Canonical and Microcanonical Ensembles (1955) (19)
- PHOTOPRODUCTION OF MESONS IN DEUTERIUM (1952) (18)
- Lattice of Partly Permanent Dipoles (1957) (18)
- Photon-density modes beyond the diffusion approximation: scalar wave-diffusion equation (1997) (17)
- Dispersive hopping conduction in quasi-one-dimensional systems (1984) (16)
- Time-resolved Fourier optical diffuse tomography. (2001) (16)
- INFLUENCE OF LOCAL PHONON DAMPING ON MOSSBAUER SPECTRA (1965) (16)
- Scattering and Absorption by an Acoustic Strip (1951) (15)
- On a Well-Known Cross-Section Theorem (1950) (15)
- Configurational properties of self‐avoiding walks generated in the presence of an interacting solid barrier (1974) (14)
- Monte Carlo study of polyelectrolyte behavior. II. (1984) (14)
- The intensity fluctuation distribution of laser light (1970) (13)
- The relation between microscopic and macroscopic theories of elasticity (1963) (13)
- Self‐avoiding walks with span limitations. I. The mean square end‐to‐end distance (1980) (13)
- Quantum Noise. XIII. Six-Classical-Variable Description of Quantum Laser Fluctuations (1968) (13)
- A MOMENT OF SINGULARITY ANALYSIS OF VIBRATION SPECTRA (1954) (13)
- EXACT PHOTOCOUNT DISTRIBUTIONS FOR LASERS NEAR THRESHOLD (1970) (13)
- APPROXIMATE SOLUTION OF RANDOM DIFFERENTIAL AND INTEGRAL EQUATIONS (1980) (12)
- A Monte Carlo off‐lattice method: The slithering snake in a continuum (1983) (12)
- Large-mode-volume stable resonators (1975) (12)
- Three-dimensional propagation in free-electron laser amplifiers (1983) (12)
- Properties of Self‐Avoiding Walks Not Constrained to Lattices (1971) (12)
- Self-avoiding walks and real polymer chains (1973) (11)
- The Method of Moments for Linear Random Boundary Value Problems (1976) (11)
- Asymmetric total stress tensor (1976) (11)
- Electrodynamics of elastic pyroelectrics (1976) (11)
- Absolute Sensitivity of a Graphite Ionization Chamber (1947) (11)
- Adventures in Green’s Land: Light Scattering in Anisotropic Media (1973) (11)
- Optical Properties of Diamond Type Crystals (1958) (11)
- Irreversible thermodynamics of thermoviscous solids with microstructures (1978) (11)
- Surface Effects of the Four-Choice Cubic Lattice (1975) (11)
- Classical Diffusive Photon Transport in a Slab (1988) (10)
- Radiance theorem and optical invariants in anisotropic media (1975) (10)
- Simultaneous forward and backward integration for standing waves in a resonator. (1979) (10)
- Three-dimensional image reconstruction in highly scattering turbid media (1997) (9)
- Continuous Fourier-transform spline solution of unstable resonator-field distribution. (1979) (9)
- Imaging through a surface of an anisotropic medium with application to light scattering (1976) (9)
- Evaluation of Fourier integrals using $B$-splines (1982) (8)
- The method of moments for linear random initial value problems (1976) (8)
- Stability of 7-alkyldeoxyguanosines of trichloropropylene oxide, epichlorohydrin and glycidol. (2009) (8)
- Light Scattering in Crystals with Surface Corrections (1976) (8)
- Method of moments approximate solutions of random linear integral equations (1977) (8)
- Numerical results on the radius of gyration of surface interacting self‐avoiding walks (1974) (8)
- A Variational Method for Non-Conservative Collisions (1950) (7)
- Double Phase Matching of Acoustically Induced Optical Harmonic Generation (1971) (7)
- Polymers confined to thin slabs: Scaling law (1981) (6)
- Low-frequency hopping conductivity of random chains (1982) (6)
- Configuration of an adsorbed polymer molecule: Solvent effect (1974) (6)
- Hopping conduction in positionally disordered chains (1982) (6)
- Nonadiabatic formulation for radiationless transitions induced by classical lattice vibrations (1982) (6)
- Theory of laser noise (1991) (5)
- Span of an adsorbed polymer chain (1976) (5)
- Monte Carlo lattice simulation of a simple electrolyte (1981) (5)
- Insensitivity to Selection Rules of Two-Phonon Luminscence Spectra (1976) (5)
- THE INFLUENCE OF LATTICE VIBRATIONS ON ELECTRONIC TRANSITIONS IN SOLIDS (1954) (5)
- A Study of the Segmental Distribution of a Polymer Chain Terminally Attached to a Surface (1975) (5)
- New Pyroelectric Contributions to Piezoelectricity (1973) (5)
- COMMENTS ON THE SHELL MODEL FOR LATTICE VIBRATIONS (1965) (5)
- Comment on Keller's theory of Brillouin scattering (1976) (4)
- Frequency Dependence of the ac Resistance of Thin Semiconducting Films (1957) (4)
- Monte Carlo Study of a Self-Interacting Polymer Chain (1977) (4)
- Segmental distribution properties of a polymer chain near an interacting barrier (1975) (4)
- Anisotropic phonon generation in GaAs epilayers and pn junctions (1978) (4)
- Reply to "Effect of periodic boundary conditions in the calculation of ac conductivity for a one-dimensional percolation model" (1982) (4)
- Transverse mode suppression using rimmed unstable resonators (1972) (4)
- Theory of Acoustically Induced Optical Harmonic Generation (1971) (4)
- NONLINEAR TRANSPORT OF ELECTRONS UNDER A STRONG HIGH FREQUENCY ELECTRIC FIELD IN SEMICONDUCTORS (1992) (3)
- Third- and Higher-Order Intensity Correlations in Laser Light (1973) (3)
- Resonant level lifetime in GaAs‐AlAs double‐barrier structures including Γ‐X mixing (1991) (3)
- Review of Soft X-Ray Lasers Using Charge Exchange (1975) (3)
- Scattering of Waves from Rough Surfaces— Specular and Incoherent Fields — (1984) (3)
- ONE-DIMENSIONAL ELECTRON TUNNELING IN SEMICONDUCTOR INCLUDING INELASTIC SCATTERING (1991) (3)
- Mode Competition in High‐Power Homogeneously Broadened Lasers (1972) (3)
- Generalized Fokker–Planck equation (2006) (3)
- The production of mesons by photons and electrons (1949) (3)
- Monte Carlo Calculations of Phonon Transport (1986) (3)
- LIFETIMES OF HIGH FREQUENCY PHONONS (1981) (3)
- Stochastic View of Photon Migration in Turbid Media (2004) (3)
- Classical theory of a rigid magnetic continuum (1977) (3)
- Analytic solution of a model pulse propagation problem (1978) (3)
- Coherent medium approach to hopping conduction (1982) (3)
- Fraunhofer diffraction in the beam approximation from two longitudinally separated slits (1982) (3)
- Time-resolved fourier diffuse optical tomography (2000) (3)
- Hopping conductivity in random systems (1981) (3)
- Span components for adsorbed polymer chains (1980) (2)
- On the Propagation of Long-Lived Short Wavelength TA Phonons in GaAs (1984) (2)
- Simulation of ultrafast relaxation of photoexcited electrons via analytical distribution functions (1989) (2)
- Hopping conduction from multiple scattering theory and continuous time random walk to the coherent medium approximation (1984) (2)
- Time Reversal in Dissipative Systems (1980) (2)
- Numerical solution of random nonlinear equations (1985) (2)
- Time-resolved optical backscattering model in highly scattering media. (1998) (2)
- NONEQUILIBRIUM CARRIER-PHONON COUPLING IN A SEMICONDUCTOR QUANTUM WELL (1988) (2)
- EFFECT OF NONEQUILIBRIUM PHONONS ON THE ELECTRON RELAXATION AND TRANSPORT (1992) (2)
- COUPLING BETWEEN 2‐D ELECTRONS IN QUANTUM WELLS AND 3‐D PHONONS (1990) (2)
- NONRADIATIVE ENERGY TRANSFER FROM THE IMPURITY ION INTO THE HOST LATTICE FOR CR4+-DOPED FORSTERITE LASER CRYSTAL (1997) (2)
- Erratum: Self‐avoiding walks with span limitations. I. The mean square end‐to‐end distance [J. Chem. Phys. 72, 2702 (1980)] (1980) (2)
- Hopping Conduction in One-Dimensional Random Chains (1982) (2)
- Transverse-mode discrimination in three-mirror resonators (1973) (2)
- Correspondence between quantum and classical stochastic processes for a laser (1968) (1)
- Electromagnetic pulse propagation in the atmosphere (1979) (1)
- Solid State Optics. (1977) (1)
- Accurate analytical solution of photon transport equation in infinite uniform turbid medium (1999) (1)
- Self‐avoiding walks with span limitations. II. The mean square radius of gyration (1981) (1)
- Electrodynamics of Photoelastic Media: Theory and Experiment (1975) (1)
- Raman Scattering and the Two-Phonon Density of States in GaAs (1984) (1)
- Raman Scattering and the Two-Phonon Density of States in GaAs (1984) (1)
- Frontiers in condensed matter theory (1990) (1)
- Inverse reconstruction of three-dimensional tomographic images of objects in turbid media from time-sliced two-dimensional transmission measurements (1998) (1)
- Erratum: The production of mesons by photons and electrons (1949) (1)
- Six-variable description of quantum laser fluctuations (1968) (1)
- Spatial distribution of temperature rise induced by a Gaussian laser beam (2008) (1)
- THEORY OF NON-IDEAL SOLIDS (1956) (0)
- Abstracts and titles of papers presented at the international conference on lattice dynamicsComments on the shell model for lattice vibrations (1963) (0)
- Phonon Magnification in GaAs (1980) (0)
- AMERICAN EDITORS’ PREFACE (1990) (0)
- Examples of Markovian processes (2006) (0)
- Nonadiabatic Approach to Vibronically Assisted Radiationless Transitions (1977) (0)
- C17 – QUANTUM RELAXATION, THE SHAPE OF LATTICE ABSORPTION AND INELASTIC NEUTRON SCATTERING LINES* (1965) (0)
- Electronic transport and lasing in microstructures (1992) (0)
- Optical interactions in microstructures. Final report (1998) (0)
- Random walk of light in turbid media (2006) (0)
- The fluctuation–dissipation theorem (2006) (0)
- Field and population fluctuations in a laser (1968) (0)
- A swept‐focus scheme for an ion‐beam laser (1977) (0)
- Time Resolved Diffusion Tomographic Image Reconstruction in Highly Scattering Turbid Media (1996) (0)
- Stochastic methods in investment decision (2006) (0)
- The Screened Electron Phonon Interaction in Degenerate Semiconductors (1980) (0)
- Electronic transport and lasing in microstructures. Progress report, November 1, 1991--October 31, 1992 (1992) (0)
- Transport in small and/or random systems (1987) (0)
- Solutions of the master equation of two-mode lasers (1994) (0)
- Analytical solution of the polarized photon transport equation in an infinite uniform scattering medium (2000) (0)
- Vibrational and Electronic Dynamics of Tetravalent Chromium Ions in Dielectric Crystals. (1998) (0)
- Transport in small and/or random systems. Progress report, June 1986--May 1987 (1987) (0)
- A transport model for optical tomography in turbid media (2001) (0)
- Modern multiple scattering theory (1980) (0)
- Spontaneous Emission into Open Optical Systems (1996) (0)
- Electron transport in semiconductors under a strong high frequency electric field (1989) (0)
- Quantum noise and amplitude noise in lasers (1966) (0)
- Spectral measurement and correlation (2006) (0)
- Densities of States and Properties of Spontaneous and Stimulated Emission in Semiconductor Lasers (1970) (0)
- Electron-Hole-Phonon Coupling In Semiconductor Quantum Wells (1988) (0)
- Higher Order Photoelastic Interactions: Theory and Experiment (1975) (0)
- Corrigenda: “Evaluation of Fourier integrals using -splines” [Math. Comp. 39 (1982), no. 160, 535–548; MR0669645 (83i:65021)] (1984) (0)
- Time-sliced three-dimensional inverse image reconstruction of objects in highly scattering media (1999) (0)
- Reconstruction optique d'image topographique retrodiffusee a resolution temporelle dans un milieu de dispersion trouble (1999) (0)
- Neutron Refraction in Ferromagnets (1950) (0)
- Raman Scattering by Polaritons in Anisotropic Crystals. (1973) (0)
- High Frequency Radiation from a Cylinder of Arbitrary Cross Section (1946) (0)
- Nonequilibrium Phonon Dynamics In A Semiconductor Quantum Well (1988) (0)
- Frontiers in condensed matter theory : proceedings of a US-USSR conference (1990) (0)
- Approximating the solutions of random Fredholm integral equations (1988) (0)
- Browsing library at AIP (1975) (0)
- An algorithm for solving linear random differential and integral equations (1986) (0)
- Quasi-Binary Decision Making Using Light Scattering (1993) (0)
- Prior Information and Noise in Three-dimensional Optical Image Reconstruction (2002) (0)
- Exact laser statistics near threshold (1972) (0)
- Analytical solution of the elastic transport equation (2006) (0)
- Langevin treatment of the Fokker–Planck process (2006) (0)
- Derivation and numerical solution for refraction, diffraction and saturation in an amplifying medium (1974) (0)
- Laser and Optical Physics. (1992) (0)
- Impurity band tails in degenerate semiconductors (2009) (0)
- External optical feedback for exciton–phonon systems in optical cavities (1994) (0)
- Review of probability (2006) (0)
- Time-resolved optical backscattering from highly scattering media (1998) (0)
- Noise in homogeneous semiconductors (2006) (0)
- New efficient algorithm for solution of the driven nonlinear Schrödinger equation (1984) (0)
- The rotating wave van del Pol oscillator (RWVP) (2006) (0)
- OPTICAL ABSORPTION IN INDIUM ANTIMUNIDE (1954) (0)
- POST Adaptation for a Numerical Solution of the Spherically-Symmetric Riemann Problem (1990) (0)
- Signal extraction in presence of smoothing and noise (2006) (0)
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