Norman Witriol - Academia.edu (original) (raw)

Papers by Norman Witriol

Research paper thumbnail of The Generalized Subtraction Correction Algorithm for Measuring Duct Leakage Using a Blower Door

Journal of Testing and Evaluation, 2004

The Generalized Subtraction Correction Algorithm (GSCA) improves upon the Modified Subtraction me... more The Generalized Subtraction Correction Algorithm (GSCA) improves upon the Modified Subtraction method for determining duct-leakage-to-outside using only a blower door. GSCA utilizes attic pressure both to calculate a generalized Subtraction Correction Factor and to properly identify and assign the correct pressure-difference between the ducts and attic responsible for the calculated ductleakage flow. This paper also describes the normal procedures that enhance the accuracy of data collection and the subsequent tests on the resulting information for validating the applicability of GSCA to an individual home. GSCA collects associated pressure-coupling data and enhances the reliability of house-leakiness results.

Research paper thumbnail of Applications of Physics to Measuring and Improving the Performance of Buildings in Hot, Humid, Hurricane-Prone Climates

APS Meeting Abstracts, 2008

In this presentation we will present topics showing how physics can be applied to measuring and i... more In this presentation we will present topics showing how physics can be applied to measuring and improving the performance (energy efficiency and durability of the structure, health, safety, and comfort of the occupants) of buildings in hot, humid, hurricane-prone ...

Research paper thumbnail of Many-Body Point Transforms. II. An Exact Noncluster Approach to the Hard-Core Many-Body Problem

Journal of Mathematical Physics, 1971

The method of many‐body point transforms previously developed by the author is modified to elimin... more The method of many‐body point transforms previously developed by the author is modified to eliminate the interacting particle cluster formalism. The cutoff terms in the transformation, and thus in the Hamiltonian, are therefore removed. For the hard‐core many‐body problem, as in the previous work, a Hamiltonian is obtained which is Fourier analyzable, Hermitian and amenable to ordinary perturbation and variational techniques while still being equivalent to the original Hamiltonian. No approximations are made. It is demonstrated that the use of the standard zeroth‐order approximation of the ground state Bose system, i.e., a constant, for the transformed wavefunction gives a negative expectation value of the energy for the hard core system. This discrepancy arises from the extended range of the new potential generated by the transformation, which necessitates explicit consideration of boundary conditions not satisfied by the above wavefunction.

Research paper thumbnail of An excitation model for laser-induced photochemical reactions

Journal of Physics B Atomic and Molecular Physics, Jan 16, 2001

A model is developed for laser-induced selective low-level excitation of a molecular species whic... more A model is developed for laser-induced selective low-level excitation of a molecular species which phenomenologically incorporates coherent resonant energy transfer and collision damping. The molecules are represented as harmonic oscillators, perturbed by resonant and non-resonant collisions and driven by an external monochromatic electromagnetic field (laser). The non-resonant collisions are treated as a thermal bath. The laser field is shown to be able to drive the molecules far from thermal equilibrium, even in the presence of collisions. The resonant exchange rate Omega R renormalizes the resonant condition, whereas the non-resonant collision rate Omega D causes damping.

Research paper thumbnail of Point Transforms and the Hard-Core Fermi System

Physical Review A - PHYS REV A, 1970

Research paper thumbnail of Forward scattering and size parameter in layered spherical aerosol particles

Journal of Aerosol Science, 1992

We investigate the scattering amplitude, phases, and Mueller Matrix Elements of polarized light s... more We investigate the scattering amplitude, phases, and Mueller Matrix Elements of polarized light scattering off a layered aerosol particle, with the goal of finding which combinations of the above quantities are most sensitive to the existence and thickness of a layer, the size of the particle, and the remaining optical parameters of the particle. Particle size parameters considered are 1 to 25; layer thickness 0 to particle size, indices of refraction from 1.33 to 2.50 and scattering angle from 0 to 180 degrees. Tunable lasers are proposed to enable scanning over the size parameter of a given aerosol droplet. Plots of the scattering amplitude, and Mueller Matrix elements for selected cases are shown, and conclusions are drawn.

Research paper thumbnail of Canonical transformations and molecular structure calculations

International Journal of Quantum Chemistry, 2009

Research paper thumbnail of General quantum mechanical canonical point transformations

Foundations of Physics, 1975

Problems related to the operator form of the generalized canonical momenta in quantum mechanics a... more Problems related to the operator form of the generalized canonical momenta in quantum mechanics are resolved by use of the general quantum mechanical canonical point transformation method. This method can be applied to any general canonical point transformation irrespective of the relationship between the domains of the original and transformed variables. The differential representation of' the original canonical momenta p~ in the original coordinate space is-i~i O/~xi and of the transformed canonical momenta Pl" in the transformed coordinate space is-i~l O/~x(. Relationships are derived between the eigenvalues o J" the original and transformed momenta in either space. The ordering problem for general point transformations is discussed and is shown to be solved. As an example of the generality of the method, it is demonstrated on the point transformation in three dimensions from Cartesian rectilinear to spherical rectilinear coordinates.

Research paper thumbnail of Linear Canonical Transformations in the Theory of Vibrational-Rotational Interactions in Molecules. A Practical Closed Form N-Dimensional Procedure

A general N-dimensional linear transformation is written, wherein each original variable xi, pi(i... more A general N-dimensional linear transformation is written, wherein each original variable xi, pi(i=1, ···, N) is expressed in closed form as a linear function of the 2N transformed variables xi′, pi′ A set of 2N2-N relationships between the linear coefficients is then derived for the transformation to be canonical. This procedure provides one with the most general form of N-dimensional linear canonical quantum mechanical transformation, while giving the operators in closed form. The procedure is compared with the alternate method of using unitary generators, and its advantages over that method are discussed.

Research paper thumbnail of “Near-resonant” V—V processes and short-range forces

Chemical Physics Letters, 1976

Research paper thumbnail of Including the continuum in the N-level molecule model

Chemical Physics Letters, 1983

Research paper thumbnail of Effect of chemical reactions in laser induced molecular excitation

Optics Communications, 1977

... Charles M. BOWDEN, Norman M. WITRIOL Quantum Physics, Physical Sciences Directorate, Redstone... more ... Charles M. BOWDEN, Norman M. WITRIOL Quantum Physics, Physical Sciences Directorate, Redstone Arsenal, AL 35809, USA and C. Alton COULTER Department of Physics ... Analytical solutions for this case (similar results have appeared in a recent paper by Goodman et al. ...

Research paper thumbnail of Vibration-to-vibration energy transfer via short range forces

Chemical Physics Letters, 1973

Abstract The contribution of an exponential and a gaussian short range force to vibration-to-vibr... more Abstract The contribution of an exponential and a gaussian short range force to vibration-to-vibration energy exchange is calculated in the impact parameter approximation. For near-resonant conditions, an inverse temperature dependence of the exchange probability is predicted. Estimates of selected exchange probabilities predicted by this theory are made for CoCo, HClHCl and HBrHBr. These results are in all cases greater than the predictions of SSH theory and are close to the experimental values for HCl-HCl and HBr-HBr.

Research paper thumbnail of The Generalized Subtraction Correction Algorithm for Measuring Duct Leakage Using a Blower Door

Journal of Testing and Evaluation, 2004

The Generalized Subtraction Correction Algorithm (GSCA) improves upon the Modified Subtraction me... more The Generalized Subtraction Correction Algorithm (GSCA) improves upon the Modified Subtraction method for determining duct-leakage-to-outside using only a blower door. GSCA utilizes attic pressure both to calculate a generalized Subtraction Correction Factor and to properly identify and assign the correct pressure-difference between the ducts and attic responsible for the calculated ductleakage flow. This paper also describes the normal procedures that enhance the accuracy of data collection and the subsequent tests on the resulting information for validating the applicability of GSCA to an individual home. GSCA collects associated pressure-coupling data and enhances the reliability of house-leakiness results.

Research paper thumbnail of Applications of Physics to Measuring and Improving the Performance of Buildings in Hot, Humid, Hurricane-Prone Climates

APS Meeting Abstracts, 2008

In this presentation we will present topics showing how physics can be applied to measuring and i... more In this presentation we will present topics showing how physics can be applied to measuring and improving the performance (energy efficiency and durability of the structure, health, safety, and comfort of the occupants) of buildings in hot, humid, hurricane-prone ...

Research paper thumbnail of Many-Body Point Transforms. II. An Exact Noncluster Approach to the Hard-Core Many-Body Problem

Journal of Mathematical Physics, 1971

The method of many‐body point transforms previously developed by the author is modified to elimin... more The method of many‐body point transforms previously developed by the author is modified to eliminate the interacting particle cluster formalism. The cutoff terms in the transformation, and thus in the Hamiltonian, are therefore removed. For the hard‐core many‐body problem, as in the previous work, a Hamiltonian is obtained which is Fourier analyzable, Hermitian and amenable to ordinary perturbation and variational techniques while still being equivalent to the original Hamiltonian. No approximations are made. It is demonstrated that the use of the standard zeroth‐order approximation of the ground state Bose system, i.e., a constant, for the transformed wavefunction gives a negative expectation value of the energy for the hard core system. This discrepancy arises from the extended range of the new potential generated by the transformation, which necessitates explicit consideration of boundary conditions not satisfied by the above wavefunction.

Research paper thumbnail of An excitation model for laser-induced photochemical reactions

Journal of Physics B Atomic and Molecular Physics, Jan 16, 2001

A model is developed for laser-induced selective low-level excitation of a molecular species whic... more A model is developed for laser-induced selective low-level excitation of a molecular species which phenomenologically incorporates coherent resonant energy transfer and collision damping. The molecules are represented as harmonic oscillators, perturbed by resonant and non-resonant collisions and driven by an external monochromatic electromagnetic field (laser). The non-resonant collisions are treated as a thermal bath. The laser field is shown to be able to drive the molecules far from thermal equilibrium, even in the presence of collisions. The resonant exchange rate Omega R renormalizes the resonant condition, whereas the non-resonant collision rate Omega D causes damping.

Research paper thumbnail of Point Transforms and the Hard-Core Fermi System

Physical Review A - PHYS REV A, 1970

Research paper thumbnail of Forward scattering and size parameter in layered spherical aerosol particles

Journal of Aerosol Science, 1992

We investigate the scattering amplitude, phases, and Mueller Matrix Elements of polarized light s... more We investigate the scattering amplitude, phases, and Mueller Matrix Elements of polarized light scattering off a layered aerosol particle, with the goal of finding which combinations of the above quantities are most sensitive to the existence and thickness of a layer, the size of the particle, and the remaining optical parameters of the particle. Particle size parameters considered are 1 to 25; layer thickness 0 to particle size, indices of refraction from 1.33 to 2.50 and scattering angle from 0 to 180 degrees. Tunable lasers are proposed to enable scanning over the size parameter of a given aerosol droplet. Plots of the scattering amplitude, and Mueller Matrix elements for selected cases are shown, and conclusions are drawn.

Research paper thumbnail of Canonical transformations and molecular structure calculations

International Journal of Quantum Chemistry, 2009

Research paper thumbnail of General quantum mechanical canonical point transformations

Foundations of Physics, 1975

Problems related to the operator form of the generalized canonical momenta in quantum mechanics a... more Problems related to the operator form of the generalized canonical momenta in quantum mechanics are resolved by use of the general quantum mechanical canonical point transformation method. This method can be applied to any general canonical point transformation irrespective of the relationship between the domains of the original and transformed variables. The differential representation of' the original canonical momenta p~ in the original coordinate space is-i~i O/~xi and of the transformed canonical momenta Pl" in the transformed coordinate space is-i~l O/~x(. Relationships are derived between the eigenvalues o J" the original and transformed momenta in either space. The ordering problem for general point transformations is discussed and is shown to be solved. As an example of the generality of the method, it is demonstrated on the point transformation in three dimensions from Cartesian rectilinear to spherical rectilinear coordinates.

Research paper thumbnail of Linear Canonical Transformations in the Theory of Vibrational-Rotational Interactions in Molecules. A Practical Closed Form N-Dimensional Procedure

A general N-dimensional linear transformation is written, wherein each original variable xi, pi(i... more A general N-dimensional linear transformation is written, wherein each original variable xi, pi(i=1, ···, N) is expressed in closed form as a linear function of the 2N transformed variables xi′, pi′ A set of 2N2-N relationships between the linear coefficients is then derived for the transformation to be canonical. This procedure provides one with the most general form of N-dimensional linear canonical quantum mechanical transformation, while giving the operators in closed form. The procedure is compared with the alternate method of using unitary generators, and its advantages over that method are discussed.

Research paper thumbnail of “Near-resonant” V—V processes and short-range forces

Chemical Physics Letters, 1976

Research paper thumbnail of Including the continuum in the N-level molecule model

Chemical Physics Letters, 1983

Research paper thumbnail of Effect of chemical reactions in laser induced molecular excitation

Optics Communications, 1977

... Charles M. BOWDEN, Norman M. WITRIOL Quantum Physics, Physical Sciences Directorate, Redstone... more ... Charles M. BOWDEN, Norman M. WITRIOL Quantum Physics, Physical Sciences Directorate, Redstone Arsenal, AL 35809, USA and C. Alton COULTER Department of Physics ... Analytical solutions for this case (similar results have appeared in a recent paper by Goodman et al. ...

Research paper thumbnail of Vibration-to-vibration energy transfer via short range forces

Chemical Physics Letters, 1973

Abstract The contribution of an exponential and a gaussian short range force to vibration-to-vibr... more Abstract The contribution of an exponential and a gaussian short range force to vibration-to-vibration energy exchange is calculated in the impact parameter approximation. For near-resonant conditions, an inverse temperature dependence of the exchange probability is predicted. Estimates of selected exchange probabilities predicted by this theory are made for CoCo, HClHCl and HBrHBr. These results are in all cases greater than the predictions of SSH theory and are close to the experimental values for HCl-HCl and HBr-HBr.