Charles Torre

Publications - Abstracts

Publications - Books & Book Chapters

Books

Book Chapters

* Has not been peer reviewed

Publications - Fact Sheets

* Has not been peer reviewed

Publications - Curriculum

* Has not been peer reviewed

Publications - Journal Articles

Academic Journal

• Torre, C., Krongos, D., Rainich Conditions in (2+1)-Dimensional Gravity. Journal of Mathematical Physics
• Torre, C.G, Krongos, D., (2015). Geometrization Conditions for Perfect Fluids, Scalar Fields, and Electromagnetic Fields. Journal of Mathematical Physics, 56, 072503. doi: 10.1063/1.4926952
• Torre, C.G, (2014). The Spacetime Geometry of a Null Electromagnetic Field. Classical and Quantum Gravity, 31, 045022. doi: 10.1088/0264-9381/31/4/045022
• Anderson, I.M, Torre, C.G, (2013). GR 20 Workshop, Warsaw, July 2013.
• Anderson, I.M, Torre, C.G, (2013). Lessons from GR 20 Workshop, Warsaw, July 2013.
• Torre, C.G, (2013). What is the Spacetime Geometry of an Electromagnetic Wave?.
• Torre, C.G, (2012). 01 Harmonic Oscillations.
• Torre, C.G, (2012). 02 Coupled Oscillators.
• Torre, C.G, (2012). 03 How To Find Normal Modes.
• Torre, C.G, (2012). 04 Linear Chain of Coupled Oscillators.
• Torre, C.G, (2012). 05 The Continuum Limit and the Wave Equation.
• Torre, C.G, (2012). 07 General Solution of the One-Dimensional Wave Equation.
• Torre, C.G, (2012). 08 Fourier Analysis.
• Torre, C.G, (2012). 09 The Wave Equation in 3 Dimensions.
• Torre, C.G, (2012). 12 Cylindrical Coordinates.
• Torre, C.G, (2012). 13 Spherical Coordinates.
• Torre, C.G, (2012). 14 Conservation of Energy.
• Torre, C.G, (2012). 15 Schrodinger Equation.
• Torre, C.G, (2012). 16 The Curl.
• Torre, C.G, (2012). 17 Maxwell Equations.
• Torre, C.G, (2012). 18 The Electromagnetic Wave Equation.
• Torre, C.G, (2012). 20 Polarization.
• Torre, C.G, (2012). 21 Non-Linear Wave Equations and Solitons.
• Torre, C.G, (2012). A Very Brief Introduction to Maple and DifferentialGeometry.
• Torre, C.G, (2012). Introduction to Maple and Differential Geometry 2.
• Torre, C.G, (2012). Taylor’s Theorem and Taylor Series (Appendix A).
• Torre, C.G, (2012). Tensor Analysis in Euclidean Space.
• Torre, C.G, (2012). Vector Spaces (Appendix B).
• Torre, C.G, (2012). All Homogeneous Pure Radiation Spacetimes Satisfy the Einstein-Maxwell Equations. Classical and Quantum Gravity, 29, 077001, 1-2. doi: doi:10.1088/0264-9381/29/7/077001
• Torre, C.G, Anderson, I.M, (2012). New symbolic tools for differential geometry, gravitation, and field theory. Journal of Mathematical Physics, 53, 013511 (12 pages).
• Torre, C.G, Anderson, I.M, (2011). New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory. preprint
• Torre, C.G, (2010). Symmetric Criticality in Classical Field Theory. Proceedings of the XIX International Fall Workshop on Geometry and Physics, AIP Conference Proceedings , 1360, 63-74.
• Torre, C.G, (2009). Symmetry Reduction of Quasi-Free States. Journal of Mathematical Physics, 50
• Torre, C.G, (2007). Functional Time Evolution, Anomaly Potentials, and the Geometric Phase. Physical Review D, 76
• Torre, C.G, (2007). PHYS 6210-Quantum Mechanics, Spring 2007.
• Torre, C.G, (2007). Schrodinger Representation for the Polarized Gowdy Model. Class. Quantum Grav., 24:1
• Torre, C.G, (2007). The Helically-Reduced Wave Equation as a Symmetric Positive System. Erratum: J. Math. Phys., 48
• Torre, C.G, (2006). Gravitational Waves: Just Plane Symmetry. Gen. Rel. Grav., 38
• Torre, C.G, (2006). Observables for the Polarized Gowdy Model. Class. Quantum Grav., 23
• Torre, C.G, (2006). Uniqueness of solutions to the helically reduced wave equation with Sommerfeld boundary conditions. Journal of mathematical physics, 47, 073501.
• Torre, C.G, (2006). Uniqueness of Solutions to the Helically ReducedWave Equation with Sommerfeld Boundary Conditions. J. Math. Phys., 47
• Torre, C.G, (2006). What’s New in Gravitational Physics. Bulletin of the American Physical Society
• Torre, C.G, (2005). Coherent State Path Integral for Linear Systems. Phys. Rev. D, 72
• Torre, C.G, (2004). 06 Elementary Solutions to the Wave Equation.
• Torre, C.G, (2004). 10 Why" Plane" Waves?.
• Torre, C.G, (2004). 11 Separation of Variables.
• Torre, C.G, (2004). 19 Electromagnetic Energy.
• Torre, C.G, (2004). Cosmology, cohomology and compactification. Classical and Quantum Gravity, 21:11, L73.
• Torre, C.G, (2004). Cosmology, Cohomology, and Compactication. Class. Quantum Grav., 21
• Torre, C.G, (2004). Foundations of Wave Phenomena.
• Torre, C.G, (2003). The Helically-Reduced Wave Equation as a Symmetric Positive System. J. Math. Phys., 44
• Torre, C.G, (2002). Quantum dynamics of the polarized Gowdy T${$3$}$ model. Physical Review D, 66:8, 084017.
• Torre, C.G, (2002). Quantum Dynamics of the Polarized Gowdy T3 Model. Phys. Rev. D, 66
• Torre, C.G, Fels, M., (2002). The Principle of Symmetric Criticality in General Relativity. Class. Quant. Grav., 19, 641-676.
• Torre, C.G, Anderson, I., Fels, M., (2001). Group Invariant Solutions in Mathematical Physics and Dierential Geometry. Cont. Math., 285
• Torre, C.G, Anderson, I., Fels, M., (2001). Group Invariant Solutions Without Transversality and the Principle of Symmetric Criticality. CRM Proceedings and Lecture Notes, 29
• Anderson, I.M, Fels, M.E, Torre, C.G, (2000). Group invariant solutions without transversality. Comm. Math. Phys., 212:3, 653-686.
• Anderson, I.M, Fels, M.E, Torre, C.G, (1999). Department of Mathematics Utah State University Logan, Utah 84322.
• Torre, C.G, Varadarajan, M., (1999). Functional evolution of free quantum fields. Classical and quantum gravity, 16:8, 2651.
• Torre, C.G, (1999). Midisuperspace models of canonical quantum gravity. International journal of theoretical physics, 38:4, 1081–1102.
• Anderson, I.M, Fels, M.E, Torre, C.G, (1999). Symmetry Reduction Without Transversality. arXiv preprint math-ph/9910015
• Torre, C.G, Varadarajan, M., (1998). Quantum fields at any time. Physical Review D, 58:6, 064007.
• Torre, C.G, (1997). Local cohomology in field theory (with applications to the Einstein equations). arXiv preprint hep-th/9706092
• Anderson, I.M, Torre, C.G, (1996). Asymptotic conservation laws in classical field theory. Physical review letters, 77:20, 4109.
• Anderson, I.M, Torre, C.G, (1996). Classification of local generalized symmetries for the vacuum Einstein equations. Communications in mathematical physics, 176:3, 479–539.
• Romano, J.D, Torre, C.G, (1996). Internal time formalism for spacetimes with two Killing vectors. Physical Review D, 53:10, 5634.
• Anderson, I.M, Torre, C.G, Fredenhagen, K., Jörß, M., Guhr, T., Bogomolny, E., Leyvraz, F., Schmit, C., Jakšic, V., Pillet, C., others, , (1996). Miscellaneous front pages, Comm. Math. Phys., Volume 176, Number 3 (1996).
• Ehlers, J., Friedrich, H., Torre, C.G, (1995). Canonical Gravity: From Classical to Quantum. Classical and Quantum Gravity, 12:7, 1821.
• Torre, C.G, (1995). Some remarks on gravitational analogues of magnetic charge. Classical and Quantum Gravity, 12:6, L43.
• Anderson, I.M, Torre, C.G, (1994). Classification of generalized symmetries for the vacuum Einstein equations. arXiv preprint gr-qc/9404030
• Torre, C.G, (1994). Natural symmetries of the Yang-Mills equations. arXiv preprint hep-th/9407129
• Torre, C.G, (1994). The problems of time and observables: some recent mathematical results. arXiv preprint gr-qc/9404029
• Torre, C.G, (1993). Gravitational observables and local symmetries. arXiv preprint gr-qc/9306030
• Torre, C.G, Anderson, I.M, (1993). Symmetries of the Einstein equations. arXiv preprint gr-qc/9302033
• Torre, C.G, (1992). Covariant phase space formulation of parametrized field theories. arXiv preprint hep-th/9204055
• Torre, C.G, (1992). Is general relativity an" already parametrized" theory?. Physical Review D, 46:8, R3231.
• Torre, C.G, (1991). A complete set of observables for cylindrically symmetric gravitational fields. Classical and Quantum Gravity, 8:10, 1895.
• Torre, C.G, (1991). A Deformation Theory of Self-Dual Einstein Spaces. arXiv preprint hep-th/9109034
• Kucha, K.V, Torre, C.G, (1991). Gaussian reference fluid and interpretation of quantum geometrodynamics. Physical Review D, 43:2, 419.
• Kuchar, K., Torre, C.G, (1991). Harmonic gauge in canonical gravity. Physical Review D, 44:10, 3116.
• Kuchar, K., Torre, C.G, (1991). Strings as poor relatives of general relativity. Conceptual Problems of Quantum Gravity’, Birkhäuser, Boston, 326–348.
• Torre, C.G, (1990). A topological field theory of gravitational instantons. Physics Letters B, 252:2, 242–246.
• Torre, C.G, (1990). On the linearization stability of the conformally(anti-) self-dual Einstein equations. Journal of Mathematical Physics, 31:12, 2983.
• Torre, C.G, (1990). Perturbations of gravitational instantons. Physical Review D, 41:12, 3620.
• Torre, C.G, (1989). Hamiltonian formulation of induced gravity in two dimensions. Physical Review D, 40:8, 2588.
• Torre, C.G, (1989). World sheet diffeomorphisms and the canonical string. Physics Faculty Publications, 55.
• Birmingham, D., Torre, C.G, (1988). BRST extension of a string propagator. Physics Letters B, 205:2, 289–294.
• Torre, C.G, (1988). The propagation amplitude in spinorial gravity. Classical and Quantum Gravity, 5:2, L63.
• Birmingham, D., Torre, C.G, (1987). An application of the Hartle-Hawking prescription to string theory. Physics Letters B, 194:1, 49–53.
• Torre, C.G, (1987). BRST structure of general relativity in terms of new variables. Physics Faculty Publications, 54.
• Evens, D., Kunstatter, G., Torre, C.G, (1987). Dirac quantization of linearized gravity on a null plane.
• Birmingham, D., Torre, C.G, (1987). Functional integral construction of the BRST invariant string ground state. Classical and Quantum Gravity, 4:5, 1149.
• Evens, D., Kunstatter, G., Torre, C.G, (1987). Hamiltonian analysis of linearised gravity on a null plane. Classical and Quantum Gravity, 4:6, 1503.
• Torre, C.G, (1986). Null surface geometrodynamics. Classical and Quantum Gravity, 3:5, 773.
• Torre, C.G, (1985). Null surface dynamics.

In-House Journal

• Torre, C.G, Krongos, D., (2014). Rainich-type Conditions for Perfect Fluid Spacetimes.
• Torre, C.G, (2013). Rainich-type conditions for null electrovacuum spacetimes II.
• Torre, C.G, (2013). How to find Killing vectors.
• Torre, C.G, (2013). Rainich-type conditions for null electrovacuum spacetimes I.
• Torre, C.G, (2012). A Homogeneous Solution of the Einstein-Maxwell Equations. DifferentialGeometry, Digital Commons, USU

* Has not been peer reviewed

Publications - Literary Journal

* Has not been peer reviewed

Publications - MultiMedia

Software

• Torre, C.G, Anderson, I.M, (2016). DifferentialGeometry - third USU release (beta). *
• Torre, C.G, Anderson, I.M, (2015). DifferentialGeometry - second USU release. *
• Torre, C.G, Anderson, I.M, (2015). DGApplications, Version 2. *
• Torre, C.G, Anderson, I.M, (2015). DifferentialGeometry - first USU release. *
• Anderson, I.M, Torre, C.G, (2013). DIfferentialGeometry software in Maple 17. Maplesoft *
• Torre, C.G, Anderson, I.M, (2012). DifferentialGeometry software in Maple 16. Maplesoft

* Has not been peer reviewed

Publications - Technical Reports

Research Reports

• Torre, C.G, Anderson, I.M, (2011). New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory. arXiv.org *

Other Reports

• Torre, C.G, (2012). How to create a two-component spinor.

* Has not been peer reviewed

Publications - Translations & Transcripts

Publications - Other

Other

* Has not been peer reviewed

Scheduled Teaching

Graduate Students Mentored