Gerald Harris Rosen
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Physics
Gerald Harris Rosen's Degrees
- Bachelors Physics Stanford University
- PhD Physics California Institute of Technology
Why Is Gerald Harris Rosen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gerald Rosen is an American mathematical scientist with over 280 published contributions in leading international scientific journals from 1958 to the present, in the areas of theoretical physics, mathematical biology, and aeronautical engineering. Rosen is currently the M. R. Wehr Professor Emeritus at Drexel University, in Philadelphia, Pennsylvania, United States.
Gerald Harris Rosen'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 mathematical theory of diffusion and reaction in permeable catalysts (1976) (973)
- Particlelike Solutions to Nonlinear Complex Scalar Field Theories with Positive‐Definite Energy Densities (1968) (139)
- Phytoplankton indicators and their relations to certain chemical and physical factors (1981) (137)
- Formulations of classical and quantum dynamical theory (1969) (82)
- Nonlinear heat conduction in solid H 2 (1979) (74)
- Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $ (1971) (71)
- Dilatation Covariance and Exact Solutions in Local Relativistic Field Theories (1969) (66)
- Method for the Exact Solution of a Nonlinear Diffusion-Convection Equation (1982) (51)
- Charged Particlelike Solutions to Nonlinear Complex Scalar Field Theories (1968) (48)
- Existence of Particlelike Solutions to Nonlinear Field Theories (1966) (48)
- Steady-state distribution of bacteria chemotactic toward oxygen. (1978) (46)
- Galilean Invariance and the General Covariance of Nonrelativistic Laws (1972) (43)
- On the Propagation Theory for Bands of Chemotactic Bacteria (1974) (39)
- Symmetries of the Einstein‐Maxwell Equations (1962) (33)
- Particlelike Solutions to Nonlinear Scalar Wave Theories (1965) (33)
- On the stability of steadily propagating bands of chemotactic bacteria (1975) (33)
- Analytical solutions to the initial-value problem for traveling bands of chemotactic bacteria. (1975) (32)
- Method for the Removal of Free Electrons in a Plasma (1962) (31)
- Time delays produced by essential nonlinearity in population growth models. (1987) (29)
- Turbulence Theory and Functional Integration. I. (1960) (28)
- Fundamental theoretical aspects of bacterial chemotaxis. (1973) (25)
- Effects of diffusion on the stability of the equilibrium in multi-species ecological systems. (1977) (25)
- Solutions to systems of nonlinear reaction-diffusion equations. (1975) (23)
- Burning Rates of Solid Propellants (1960) (23)
- Electromagnetic Shocks and the Self-Annihilation of Intense Linearly Polarized Radiation in an Ideal Dielectric Material (1965) (23)
- Chemotactic transport theory for neutrophil leukocytes. (1976) (22)
- Navier‐Stokes Initial Value Problem for Boundary‐Free Incompressible Fluid Flow (1970) (20)
- Solutional method for the energies of a parameter-dependent system (1979) (19)
- Storage and recombination of atomic H in solid H2 (1976) (18)
- Theoretical significance of the condition δ=2μ in bacterial chemotaxis (1983) (18)
- Exact Solutions to the Yang‐Mills Field Equations (1972) (16)
- Functional Integration Theory for Incompressible Fluid Turbulence (1967) (15)
- Functional Calculus Theory for Incompressible Fluid Turbulence (1971) (15)
- STATIONARY STATES IN QUANTUM FIELD THEORY (1966) (15)
- DRESSED-ELECTRON STATIONARY STATES IN QUANTUM ELECTRODYNAMICS. (1968) (15)
- Existence and nature of band solutions to generic chemotactic transport equations. (1976) (14)
- Necessary Conditions on Potential Functions for Nonrelativistic Bound States (1982) (14)
- Space-Charge-Limited Currents in Nonmetallic Solids (1966) (13)
- Spatially Homogeneous Solutions to the Einstein-Maxwell Equations (1964) (13)
- Manufacture and Deflagration of an Atomic Hydrogen Propellant (1974) (13)
- General Solution for Perturbed Plane Couette Flow (1971) (13)
- Equations of Motion in Classical Nonlinear Field Theories (1967) (13)
- Decay of Homogeneous Turbulence (1970) (12)
- SELF-INTERACTING REAL SCALAR QUANTUM FIELD THEORIES WHICH ADMIT STATIONARY STATES AND A CLASSICAL LIMIT. (1967) (11)
- Global theorems for species distributions governed by reaction‐diffusion equations (1974) (11)
- Nonexistence of Localized Periodic Solutions to Nonlinear Field Theories (1966) (11)
- Ignition of Combustible Gases (1959) (10)
- Stability of the equilibrium for atomic H in solid H2 (1977) (10)
- Solutions of a Certain Nonlinear Wave Equation (1966) (10)
- Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations (1974) (10)
- Feynman path summation for the Dirac equation: An underlying one-dimensional aspect of relativistic particle motion (1983) (10)
- RELATIVISTIC PARTICLE-ANTIPARTICLE STATIONARY STATES IN A MODEL QUANTUM FIELD THEORY: MESONS FROM QUARKS. (1968) (9)
- Restricted invariance of the Navier-Stokes equation (1980) (9)
- Self-Interacting Complex Scalar Quantum Field Theories (1968) (9)
- Relaxation times for nonlinear heat conduction in solid H 2 (1981) (9)
- On the fisher and the cubic-polynomial equations for the propagation of species properties (1980) (8)
- Upper bound on the equilibrium concentration of atomic H in solid H2 (1977) (8)
- Group-theoretical basis for the value of the fine-structure constant (1976) (8)
- EXPERIMENT FOR OBSERVING THE VACUUM SCATTERING OF LIGHT BY LIGHT (1965) (8)
- Validity of the weak diffusion expansion for solutions to systems of reaction‐diffusion equations (1975) (8)
- First-order diffusive effects in nonlinear rate processes (1973) (8)
- Conformal Invariance of Maxwell's Equations (1972) (8)
- Analytical solutions for distributions of chemotactic bacteria (1983) (8)
- HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE (2007) (8)
- Deuterium nuclear fusion at room temperature: A pertinent inequality on barrier penetration (1989) (7)
- Nonexistence of dissipative structure solutions to Volterra many−species models (1975) (7)
- Bounds on the total population for species governed by reaction-diffusion equations in arbitrary two-dimensional regions. (1975) (7)
- On the persistence of ecological systems. (1977) (7)
- Time delays produced by essential nonlinearity in population growth models (1987) (7)
- Geometrical Significance of the Einstein-Maxwell Equations (1959) (7)
- Conformal transformation matrix for fields (1973) (7)
- Asymptotic form of the longitudinal correlation function for isotropic homogeneous turbulence (1981) (7)
- Characterizing conditions for generalized Verhulst logistic growth of a biological population (1984) (7)
- Dynamics of probability distributions over classical fields (1971) (7)
- Approach to a theory for the masses of the electron, muon, and heavier charged leptons (1978) (6)
- Bacterial chemotaxis in the temporal gradient apparatus (1975) (6)
- Solutions to the Nonlinear Recombination Equation for the Infinite Spatial Domain (1975) (6)
- Transformation invariance of the longitudinal velocity correlation in grid-generated turbulence at high Reynolds numbers (1987) (6)
- Quantum theory of gravitation and the mass of the electron (1971) (6)
- On the nature of solutions to the Dreitlein-Smoes model for oscillatory kinetic systems. (1975) (6)
- Mathematical formalism for probabilistic dynamical theories (1965) (6)
- Space-time metrical fluctuations induced by cosmic turbulence (1980) (6)
- Hamilton-Jacobi functional theory for the integration of classical field equations (1971) (6)
- Incompressible fluid turbulence at large Reynolds numbers: Theoretical basis for the t−1 decay law and the form of the longitudinal correlation function (1981) (6)
- DRESSED PARTICLE STATES IN LOCAL QUANTUM FIELD THEORY. (1967) (6)
- Nonlinear Pressure Oscillations in a Combustion Field (1960) (5)
- Functional Integration Theory for Incompressible Fluid Turbulence. II (1969) (5)
- Approximate Evaluation of Feynman Functional Integrals (1963) (5)
- Broadness, decay, and correlation functions of isotropic homogeneous turbulence (1980) (5)
- Invariance Group of the Equation$\partial {\bf u} / \partial t = - {\bf u} \cdot \nabla {\bf u}$ (1973) (5)
- A necessary condition for the existence of singularity-free global solutions to nonlinear ordinary differential equations (1969) (5)
- Requisite Temperatures for the Stabilization of Atomic H in Solid H2 Table 1 Values of fcr, the critical temperature below which the equilibrium atomic hydrogen concentration is locally stable (units mK) (1978) (4)
- Space-Charge-Limited Currents in Non-Metallic Solids (1966) (4)
- Brownian-motion correspondence method for obtaining approximate solutions to nonlinear reaction-diffusion equations (1984) (4)
- Space-Charge-Limited Transient Currents in Nonmetallic Crystals (1967) (4)
- Semi-empirical operator for the self-interaction masses of finite-size leptons and quarks (2003) (4)
- Classical dynamics: A modern perspective: by E.C.G. Sudarshan and N. Mukunda. 615 pages, 6 × 9 in. John Wiley, New York, 1974. Price, $24.95 (approx. £10.20) (1975) (4)
- Navier-Stokes symmetry in the phenomenological transport theory for bacterial chemotaxis (1984) (4)
- Rook's tour representation of the genetic code. (1991) (4)
- Are large concentration of atomic H storable in tritium-impregnated solid in H2 below 0.10 K? (1979) (4)
- Entropy Production and Pressure Waves (1960) (4)
- An action principle for the laminar flame (1958) (4)
- ALTERNATIVE INTEGRATION PROCEDURE FOR SCALE-INVARIANT ORDINARY DIFFERENTIAL EQUATIONS (1979) (4)
- Integration Theory for One‐Dimensional Viscous Flow (1959) (4)
- Conditions on the energy and potential function for multiparticle nonrelativistic bound states (1984) (4)
- Bounds on the total particle number for species governed by reaction-diffusion equations in the infinite spatial domain (1974) (4)
- Necessary condition for Fokker-Planck statistical equilibrium (1984) (4)
- Nonexistence of Finite‐Energy Stationary Quantum States in Nonlinear Field Theories (1968) (4)
- H Theorems for One‐Dimensional Combustion of a Gas (1959) (4)
- UNITARY IRREDUCIBLE REPRESENTATIONS OF SL(3,R) (1966) (4)
- Sobolev-type lower bounds on \parallel∇\parallel² for arbitrary regions in two-dimensional Euclidean space (1976) (4)
- INTERNAL DYNAMICS OF PARTICLELIKE SOLUTIONS TO NONLINEAR FIELD THEORIES. (1967) (3)
- Self-similar solutions for a system of nonlinear reaction-diffusion equations: Electronic recombination in an after-glow helium plasma (1974) (3)
- Construction of analytically solvable models for interacting species (1976) (3)
- Reciprocal transformation for one‐dimensional conservation equations (1983) (3)
- SL3,R symmetry in the quantum theory of general relativity (1966) (3)
- Space-time rescaling symmetry in the tactic migration of micrometer-size organisms (1983) (3)
- The dressed vacuum in quantum electrodynamics (1968) (3)
- Empirical lepton-quark mass formula: Four dimensional state space for fermion structure? (1995) (3)
- A complex-scalar-field model for dark matter (2010) (3)
- Approximate general solutions to nonlinear reaction-diffusion equations (1973) (3)
- On the covariance of nonrelativistic field equations (1971) (3)
- Theoretical significance of the condition delta = 2mu in bacterial chemotaxis. (1983) (3)
- Solutions to certain classes of linearized reaction–diffusion equations☆ (1977) (3)
- MOLECULAR CONTENT RELATIONS IN THE GENETIC CODE (1999) (3)
- Global theorems for boundary‐free viscous incompressible fluid flows of finite energy (1982) (3)
- A CONJECTURE REGARDING QUANTIZED GRAVITATIONAL THEORY AND THE SIZE OF ELEMENTARY PARTICLES (1967) (3)
- Generalization of the Laminar Flame Action Principle for Arrhenius‐Type Rate Functions (1960) (3)
- Theory for incompressible fluid turbulence (1974) (3)
- DILATON FIELD THEORY AND CONFORMALLY MINKOWSKIAN SPACE--TIME. (1971) (3)
- Large-scale structure of isotropic homogeneous turbulence (1983) (2)
- Steady-state distribution of bacteria chemotactic toward oxygen (1978) (2)
- Solution to the initial-value problem for nonlinear classical field equations (1970) (2)
- Mathematical model for the frequency of radiation carcinogenesis at low doses (1973) (2)
- Space-time microstructure and singularity-free quantum field theory (1973) (2)
- Necessary condition for the existence of periodic solutions to systems of reaction-diffusion equations (1974) (2)
- Orthogonal projection experiments for many-parameter dependent phenomena: optimization of hydroponic plant growth (1984) (2)
- Grid-generated isotropic homogeneous turbulence at high Reynolds numbers (1981) (2)
- Stability of the Graviton Against Radiative Decay (1962) (2)
- Is There a Field-Theoretic Explanation For Precursor Biopolymers? (2002) (2)
- Exact theory for the self‐similarity and decay of homogeneous turbulence (1982) (2)
- Semi-theoretical formula for the main series in the baryon-mass spectra (1972) (2)
- Functional integrals in Navier–Stokes incompressible fluid turbulence (1983) (2)
- New theory for incompressible fluid turbulence (1967) (2)
- Lorentz covariance of lattice field equations in four-dimensional space-time (1978) (2)
- Thermal dissipative structures: Limit-cycle oscillations in high temperature fluids (1973) (2)
- Physio-chemical mathematical theory for transitions in cellular metabolism: an aspect of carcinogenesis. (1977) (2)
- A more complete theory for the electronic recombination of He2+ (1973) (2)
- Analytical estimation of critical parameter values for bound states of screened Coulomb potentials (1987) (2)
- PARAMETER EVOLUTION IN THE θ‐MODEL (1985) (2)
- Evaluation of the characteristic functional for incompressible fluid turbulence (1970) (2)
- MASS DEPENDENCE IN THE DIRAC QUARK MODEL. (1970) (1)
- Difference Equations for the Masses of Leptons and Quarks in TeV Quantum Gravity (2002) (1)
- Model for carcinogenesis at low doses: Addendum☆ (1977) (1)
- Are dark matter WIMP’s of mass 8.6 GeV octoneutrons? (2014) (1)
- Stable heterogeneous spatial distributions of oxygen and chemotactic E. coli with Verhulst-limited population growth. (1985) (1)
- Existence of steady-state probability distributions in multilocus models for genotype evolution. (1986) (1)
- Exact Solutions for the One‐Dimensional Viscous Flow of a Perfect Gas (1960) (1)
- Empirical admissibility of an Einstein cosmological model (1965) (1)
- Formal equivalence of the nonlinear string and one-dimensional fluid flow (1965) (1)
- Exact Stationary States in Local Relativistic Field Theories (1970) (1)
- Did CDM Particles of Mass 2.47 × 10−3 eV Interact with Precursor Biopolymers and Nucleic Acids to Initiate and Boost Lifeforms on Earth? (2011) (1)
- Exact Stationary States in |φ|2N Field Theories (1971) (1)
- Dressed stationary states in quantum electrodynamics (1969) (1)
- Commensalism of methane-producing and motile aerobic bacteria in certain freshwater wetlands (1984) (1)
- Molecule numbers associated with the chemotactic migration of neutrophils at various temperatures. (1975) (1)
- Semi-theoretical formula for the supplementary series in the baryon mass spectra (1972) (1)
- Linear correspondents of nonlinear equations (1977) (1)
- Semi-classical reissner-nordström model for the structure of charged leptons (1980) (1)
- IS LEPTON-QUARK MASS PRESET BY A CHARGE-NUMBER RELATION? (1996) (1)
- On the Refractory Dust Method (1965) (1)
- Propagation theory for tactic bacteria: addendum☆ (1980) (1)
- Black holes associated with galaxies (1991) (1)
- The masses of charged leptons and quarks from superposition self-interference of their Dirac fields (2011) (1)
- Comment on biomass diversity in ecology (1984) (1)
- Empirical Formula for the Baryon Mass Spectra (1968) (1)
- Semi-theoretical formula for the baryon mass spectra (1969) (1)
- Charged-lepton masses in the semi-classical reissner-nordström model (1982) (1)
- Galerkin-Ritz procedures for approximate solutions to systems of reaction-diffusion equations. (1978) (1)
- Time development of probability distributions for interacting species (1979) (1)
- Explicit Functional Integration Method for Determining Approximate Stationary States in Quantum Field Theories (1978) (1)
- Conditions on the Higgs–Yukawa couplings for lepton mass (2008) (1)
- Periodic solutions to systems of reaction-diffusion equations (1976) (1)
- Six flavors of quarks but only three flavors of leptons (1980) (0)
- Energy‐particle‐number inequality in nonlinear complex‐scalar field theory (1981) (0)
- Inequalities in isotropic homogeneous turbulence theory (1981) (0)
- Nonlinear fluctuation-dissipation relation in isotropic homogeneous fluid turbulence (1982) (0)
- On the general formula for obtaining expectation values from the hypercharacteristic function (1972) (0)
- Permutation symmetry and leptonic mass (1982) (0)
- Approximate general solutions for certain systems of nonlinear reaction‐diffusion equations (1986) (0)
- Group‐Theoretic Implication for Statistically Self‐Similar Atmospheric Turbulence (1971) (0)
- Effects of diffusion on the stability of the equilibrium in multi-species ecological systems (1977) (0)
- Cartan-Frobenius Integration Method and Exact Solutions for Relativistic Ideal Fluid Flows (1984) (0)
- Bare electron and muon values associated with an invariant cut-off in quantum electrodynamics (1969) (0)
- A one-electron quantum theory with Dirac’sAμAμ =m02/ε2 condition (1968) (0)
- Bounds on the total population for species governed by reaction-diffusion equations in arbitrary two-dimensional regions (1975) (0)
- Mass spectral condition for leptons and quarks (1988) (0)
- WIMPs with mass ~ 100 GeV from a pair of massless and small-mass scalar-fields in interaction (2011) (0)
- Minimization principle for the unit of electric charge (1983) (0)
- A physical way of saying α-1= 137.0324 (1979) (0)
- Solutions to systems of nonlinear reaction-diffusion equations (1975) (0)
- Lower bounds on energy eigenvalues for general interactions (1985) (0)
- Symmetry aspects of leptons and quark masses (1993) (0)
- Existence of steady-state probability distributions in multilocus models for genotype evolution (1986) (0)
- Is the electromagnetic field an invariant superposition of the 42 states of a basic field? (1976) (0)
- Exclusively gauge-invariant quantum electrodynamics: A theory with a finite electron solution (1975) (0)
- Phenomenological Theory for Bacterial Chemotaxis (2018) (0)
- Phenomenological rate process theory for the storage of atomic H in solid H2* (1976) (0)
- Virial formula for lepton mass (1985) (0)
- Conserved finite four-vector for particlelike solutions to nonlinear classical field theories (1976) (0)
- Quark charge fluctuation: A possible binding mechanism for quarks in hadrons (1970) (0)
- Can the rotation of a bacterial flagellum appear quantized (1974) (0)
- ERRATA: IS LEPTON-QUARK MASS PRESET BY A CHARGE-NUMBER RELATION? (1996) (0)
- Erratum to “The masses of charged leptons and quarks from superposition self-interference of their Dirac fields” by Gerald Rosen (2011) (0)
- Fluctuation Theory for Space‐Charge‐Limited Currents (1970) (0)
- Mass scaling of leptons and quarks (1992) (0)
- Approximate solutions to the Navier-Stokes initial value problem (1978) (0)
- FORMULA FOR THE BARYON MASS SPECTRA. (1972) (0)
- Toward a simpler way of saying “Ricci-flat” (1975) (0)
- Variational principles for non-Lagrangian field equations (1978) (0)
- General Invariance of Hydrodynamic Equations: Classical Symmetry Breaking (1972) (0)
- Preclusion of steady-state statistical equilibrium in a population model with environmental stochasticity (1986) (0)
- SELF-INTERACTION MASS FORMULA THAT RELATES ALL LEPTONS AND QUARKS TO THE ELECTRON (2012) (0)
- Galerkin-Ritz procedures for approximate solutions to systems of reaction-diffusion equations (1978) (0)
- On the static electromagnetic self-field of an electron (1969) (0)
- Fundamental classical and quantum dynamical theory (1968) (0)
- Higgs-Thomson-Fibonacci generation of lepton and quark masses (1996) (0)
- Diffusion in Transient Space-Charge-Limited Currents (1971) (0)
- Is quantized electric charge a purely electromagnetic phenomenon? (1979) (0)
- Global definition and physical interpretation of the cosmological constant (2009) (0)
- A remarkable operator version of the Navier-Stokes equation (1980) (0)
- Stability of spatially heterogeneous steady-state distributions of oxygen-chemotactic aerobic/anaerobic bacteria (1984) (0)
- Newton's gravitational constant (1968) (0)
- Square-roots, internal symmetries, and fermion field quantization (1974) (0)
- Mass empirics of leptons and quarks : The primary clue to a structural theory for the fundamental fermions (2005) (0)
- Modular conformal scaling group evidenced in lepton-quark mass (1995) (0)
- Spatial extension of quantum gravitational particles inR4×KN (1988) (0)
- Theorems pertaining to Fokker–Planck statistical equilibrium for multidimensional stochastic systems (1986) (0)
- Alternative experiment for observing the vacuum scattering of light by light (1965) (0)
- Rigorous wave function for spin- composite particles (1968) (0)
- Attosecond-Scale Probing of the Electron Motion in the H-Atom Groundstate (2012) (0)
- To Scatter a Photon by a Photon (1966) (0)
- Physio-chemical mathematical theory for transitions in cellular metabolism: An aspect of carcinogenesis (1977) (0)
- Quasi-Schwarzchild R/sup 4/ as a spherical wave embedding in flat M/sup 4/ x D/sup 2/ x D/sup 2/ (1986) (0)
- HIV spread in the San Francisco cohort: Scaling of the effective logistic rate for seropositivity (1988) (0)
- Constrained Hamiltonian formulation for interacting fields: Stable particlelike solutions (1979) (0)
- Model for the internal dynamics of charged sequential leptons (1987) (0)
- Construction of the faithful irreducible representation for the subgroupG contained inS7 (1977) (0)
- Duality-invariant orthogonality relation between the magnetic monopole and associated quark charges (1985) (0)
- Is there a mass/radius symmetry between the electron and proton? (1982) (0)
- Rook’s tour representation of the genetic code (1991) (0)
- Approximate solution to the hopf Φ equation for isotropic homogeneous fluid turbulence (1982) (0)
- A FIELD-THEORETIC EXPLANATION FOR PRECURSOR BIOPOLYMERS ? (2002) (0)
- Prediction of a metastable Y0* baryon (1969) (0)
- Dilatation-group parameter distances associated with charged leptons: Fourth-generation mass at 49. 90 GeV (1988) (0)
- Fundamental theoretical considerations for an air-suspension vortex flow incinerator system (1974) (0)
- Correspondence-principle condition on the Reissner-Nordström solution for charged leptons (1980) (0)
- QCD , quantum gravity , and the size of the proton (2011) (0)
- HIV spread in the San Francisco cohort: scaling of the effective logistic rate for seropositivity. (1988) (0)
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