All Stories

  1. Kink Soliton Solutions in the Logarithmic Schrödinger Equation

    Article • Mathematics, March 2025, MDPI AG

    Dr Tony Cyril Scott

  2. Comment on “Long-range asymptotics of exchange energy in the hydrogen molecule”

    Article • The Journal of Chemical Physics, February 2025, American Institute of Physics

    Dr Tony Cyril Scott

  3. Probability Bracket Notation for Probability Modeling

    Article • April 2024, MDPI AG

    Dr Tony Cyril Scott

  4. Michael Scot and the Music of the Spheres

    Article • Transversal International Journal for the Historiography of Science, December 2023, Transversal: International Journal for the Historiography of Science

    Dr Tony Cyril Scott

  5. A new analytic and numerical method for investigating the Riemann hypothesis

    Article • ACM Communications in Computer Algebra, September 2023, ACM (Association for Computing Machinery)

    Dr Tony Cyril Scott, Aude Maignan, Ross McPhedran

  6. From Modified Newtonian Dynamics to Superfluid Vacuum Theory

    Article • Entropy, December 2022, MDPI AG

    Dr Tony Cyril Scott

  7. Quantum Monte Carlo study of superradiant supersolid of light in the Jaynes-Cummings-Hubbard model.

    Article • Physical Review B, May 2021, American Physical Society (APS)

    Dr Tony Cyril Scott

  8. A Comprehensive Analysis of Quantum Clustering : Finding All the Potential Minima

    Article • International Journal of Data Mining & Knowledge Management Process, January 2021, Academy and Industry Research Collaboration Center (AIRCC)

    Dr Tony Cyril Scott

  9. Quantum Clustering Analysis: Minima of the Potential Energy Function

    Article • December 2020, Academy and Industry Research Collaboration Center (AIRCC)

    Dr Tony Cyril Scott

  10. Solution of the 3D logarithmic Schrödinger equation with a central potential

    Article • Journal of Physics Communications, June 2020, Institute of Physics Publishing

    Dr Tony Cyril Scott

  11. Resolving the puzzle of sound propagation in liquid helium at low temperatures

    Article • Low Temperature Physics, December 2019, American Institute of Physics

    Dr Tony Cyril Scott

  12. Solution of the logarithmic Schrödinger equation with a Coulomb potential

    Article • Journal of Physics Communications, July 2018, Institute of Physics Publishing

    Dr Tony Cyril Scott

  13. Michael Scot and the Four Rainbows

    Article • Transversal International Journal for the Historiography of Science, June 2017, Transversal: International Journal for the Historiography of Science

    Dr Tony Cyril Scott

  14. Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

    Article • Physical Review A, May 2017, American Physical Society (APS)

    Dr Tony Cyril Scott

  15. Off-site trimer superfluid on a one-dimensional optical lattice

    Article • Chinese Physics B, April 2017, Institute of Physics Publishing

    Dr Tony Cyril Scott

  16. Data Clustering with Quantum Mechanics

    Article • Mathematics, January 2017, MDPI AG

    Dr Tony Cyril Scott

  17. Like the title says: The Generalized Lambert W function fleshed out.

    Article • ACM Communications in Computer Algebra, August 2016, ACM (Association for Computing Machinery)

    Dr Tony Cyril Scott, Aude Maignan

  18. Canonical Reduction for Dilatonic Gravity in 3+1 Dimensions

    Article • April 2016, American Physical Society (APS)

    Dr Tony Cyril Scott

  19. Quantum nonlocality and conservation of momentum

    Article • Physics Essays, September 2015, Physics Essays Publication

    Dr Tony Cyril Scott

  20. Efficient hybrid-symbolic methods for quantum mechanical calculations

    Article • Computer Physics Communications, June 2015, Elsevier

    Dr Tony Cyril Scott

  21. Trimer superfluid and supersolid on two-dimensional optical lattices

    Article • Physical Review A, March 2015, American Physical Society (APS)

    Dr Tony Cyril Scott

  22. Trimer superfluid induced by photoassociation on the state-dependent optical lattice

    Article • Physical Review A, September 2014, American Physical Society (APS)

    Dr Tony Cyril Scott

  23. Numerics of the generalized Lambert W function

    Article • ACM Communications in Computer Algebra, July 2014, ACM (Association for Computing Machinery)

    Dr Tony Cyril Scott

  24. Asymptotic series of Generalized Lambert W function

    Article • ACM Communications in Computer Algebra, January 2014, ACM (Association for Computing Machinery)

    Dr Tony Cyril Scott

  25. N-body gravity and the Schrödinger equation

    Article • Classical and Quantum Gravity, August 2007, Institute of Physics Publishing

    Dr Tony Cyril Scott

  26. Nodal surfaces of the helium atom eigenfunctions.

    Article • Physical Review A, June 2007, American Physical Society (APS)

    Dr Tony Cyril Scott

  27. Direct optimization of nodal hypersurfaces in approximate wave functions

    Article • The Journal of Chemical Physics, April 2007, American Institute of Physics

    Dr Tony Cyril Scott

  28. Nodal structure of Schrödinger wavefunction: general results and specific models

    Article • Journal of Physics B Atomic Molecular and Optical Physics, February 2007, Institute of Physics Publishing

    Dr Tony Cyril Scott

  29. New Approach for the Electronic Energies of the Hydrogen Molecular Ion

    Article • Chemical Physics, May 2006, Elsevier

    Dr Tony Cyril Scott

  30. General relativity and quantum mechanics: towards a generalization of the Lambert W function

    Article • Applicable Algebra in Engineering Communication and Computing, March 2006, Springer Science + Business Media

    Dr Tony Cyril Scott

  31. Asymptotically exact calculation of the exchange energies of one-active-electron diatomic ions

    Article • Journal of Physics B Atomic Molecular and Optical Physics, November 2004, Institute of Physics Publishing

    Dr Tony Cyril Scott

  32. Exchange Energy for Two-Active-Electron Diatomic Systems Within the Surface Integral Method

    Article • Applicable Algebra in Engineering Communication and Computing, August 2004, Springer Science + Business Media

    Dr Tony Cyril Scott

  33. Asymptotics of Quantum Mechanical Atom-Ion Systems

    Article • Applicable Algebra in Engineering Communication and Computing, September 2002, Springer Science + Business Media

    Dr Tony Cyril Scott

  34. Near-field and far-field propagation of beams and pulses in dispersive media

    Article • Optics Letters, May 1997, Optical Society of America (OSA)

    Dr Tony Cyril Scott

  35. Numerical computation of molecular integrals via optimized (vectorized) FORTRAN code

    Article • Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment, April 1997, Elsevier

    Dr Tony Cyril Scott

  36. Optical Solitary Waves in the Higher Order Nonlinear Schrödinger Equation

    Article • Physical Review Letters, January 1997, American Physical Society (APS)

    Dr Tony Cyril Scott

  37. Causality and quantization of time-delay systems: A two-body model problem

    Article • Physical Review A, December 1995, American Physical Society (APS)

    Dr Tony Cyril Scott

  38. Causality and quantization of time-delay systems: A model problem

    Article • Physical Review A, September 1995, American Physical Society (APS)

    Dr Tony Cyril Scott

  39. The calculation of exchange forces: General results and specific models

    Article • The Journal of Chemical Physics, August 1993, American Institute of Physics

    Dr Tony Cyril Scott

  40. Resolution of a paradox in the calculation of exchange forces for H_2^+

    Article • Chemical Physics Letters, February 1993, Elsevier

    Dr Tony Cyril Scott

  41. Quantization of second-order Lagrangians: The Fokker-Wheeler-Feynman model of electrodynamics

    Article • Physical Review A, October 1992, American Physical Society (APS)

    Dr Tony Cyril Scott

  42. Causality of relativistic many-particle classical dynamics theories

    Article • Canadian Journal of Physics, September 1992, Canadian Science Publishing

    Dr Tony Cyril Scott

  43. On a bessel function integral

    Article • Applicable Algebra in Engineering Communication and Computing, September 1992, Springer Science + Business Media

    Dr Tony Cyril Scott

  44. Accurate finite-element solutions of the two-body Dirac equation.

    Article • Physical Review A, April 1992, American Physical Society (APS)

    Dr Tony Cyril Scott

  45. Exchange energy of H_2^+ calculated from perturbation theory and the Holstein-Herring method.

    Article • Physical Review Letters, September 1991, American Physical Society (APS)

    Dr Tony Cyril Scott

  46. Evaluation of classes of definite integrals using differentiation of special functions

    Article • Applicable Algebra in Engineering Communication and Computing, September 1990, Springer Science + Business Media

    Dr Tony Cyril Scott

  47. Perturbative solutions of quantum mechanical problems by symbolic computation

    Article • Journal of Computational Physics, April 1990, Elsevier

    Dr Tony Cyril Scott

  48. Recipes for Classes of Definite Integrals Involving Exponentials and Logarithms

    Article • January 1989, Springer Science + Business Media

    Dr Tony Cyril Scott

  49. Relativistic, many-particle Lagrangean for electromagnetic interactions

    Article • Physical Review Letters, August 1987, American Physical Society (APS)

    Dr Tony Cyril Scott