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Charles Torre

Profile Picture

Physics

Professor and Associate Department Head

Contact Information

Office Location: SER 232
DialPhone: 435-797-3426
SendEmail: Charles.Torre@usu.edu


Educational Background

PhD, University of North Carolina, Chapel Hill, 1985
BS, Physics, Duke University, 1980

Teaching Interests

Classical Mechanics, Quantum Mechanics, Thermal Physics, Classical Field Theory, General Relativity

Research Interests

General Relativity and Gravitation, Field Theory, Symbolic Computation, Geometric Methods in Physics

Publications - Abstracts

    Publications - 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    * Has not been peer reviewed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      * Has not been peer reviewed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        * Has not been peer reviewed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., (2007). Erratum:“The helically-reduced wave equation as a symmetric-positive system”[J. Math. Phys. 44, 6623 (2003)]. Journal of Mathematical Physics, 48:2, 029901–029901.
        • 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
        • Anderson, I.M, Fels, M., Torre, C., (2001). Group invariant solutions in mathematical physics and differential geometry. Contemporary Mathematics, 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
        • Kuchar, K., Torre, C., (1991). Conceptual Problems of Quantum Gravity. Birkhäuser, Boston
        • 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.
        • Kuchar, K., Torre, C., (1988). Strings As Poor Relatives Of Relativity. Andover Quantum Gravity
        • 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

          * Has not been peer reviewed

          Publications - Technical Reports

          * Has not been peer reviewed

          Publications - Translations & Transcripts

            Publications - Other

              Other

            • Torre, C., (1999). Gravitational Waves.

            * Has not been peer reviewed

            Scheduled Teaching

            PHYS 3550 - Intermediate Classical Mechanics, Spring 2017

            PHYS 5500 - Intermediate Topics in Physics (Topic), Spring 2017

            PHYS 4900 - Research in Physics, Spring 2017

            PHYS 3500 - Topics in Physics (Topic), Spring 2017

            PHYS 6010 - Classical Mechanics I, Fall 2016

            PHYS 4900 - Research in Physics, Fall 2016

            PHYS 4900 - Research in Physics, Summer 2016

            PHYS 4900 - Research in Physics, Spring 2016

            PHYS 3750 - Foundations of Wave Phenomena, Fall 2015

            PHYS 5500 - Intermediate Topics in Physics (Topic), Fall 2015

            PHYS 4900 - Research in Physics, Fall 2015

            PHYS 4900 - Research in Physics, Summer 2015

            PHYS 3500 - Topics in Physics (Topic), Summer 2015

            PHYS 6910 - Relativity I, Spring 2015

            PHYS 4900 - Research in Physics, Spring 2015

            PHYS 3700 - Thermal Physics, Spring 2015

            PHYS 3750 - Foundations of Wave Phenomena, Fall 2014

            PHYS 4900 - Research in Physics, Fall 2014

            PHYS 2210 - Physics for Scientists and Engineers I, Summer 2014

            PHYS 4900 - Research in Physics, Summer 2014

            PHYS 4900 - Research in Physics, Spring 2014

            PHYS 3700 - Thermal Physics, Spring 2014

            PHYS 3550 - Intermediate Classical Mechanics, Fall 2013

            PHYS 4900 - Research in Physics, Fall 2013

            PHYS 6910 - Relativity, Spring 2013

            PHYS 4900 - Research in Physics, Spring 2013

            PHYS 3700 - Thermal Physics, Spring 2013

            PHYS 3550 - Intermediate Classical Mechanics, Fall 2012

            PHYS 4900 - Research in Physics, Fall 2012

            PHYS 2200 - Elements of Mechanics, Summer 2012

            PHYS 2210 - Physics for Scientists and Engineers I, Summer 2012

            PHYS 4900 - Research in Physics, Summer 2012

            PHYS 4900 - Research in Physics, Spring 2012

            PHYS 3700 - Thermal Physics, Spring 2012

            PHYS 3550 - Intermediate Mechanics, Fall 2011

            PHYS 4900 - Research in Physics, Fall 2011

            PHYS 4900 - Research in Physics, Summer 2011

            PHYS 4900 - RESEARCH IN PHYSICS (CI), Spring 2011

            PHYS 3700 - THERMAL PHYSICS, Spring 2011

            PHYS 6010 - Classical Mechanics I, Fall 2010

            PHYS 4900 - Research in Physics, Fall 2010


            Graduate Students Mentored