Contact

All Stories

  1. Efficient searches for low-energy structures in clusters with thousands of particles: Application to the Thomson problem

    Article • The Journal of Chemical Physics, October 2026, American Institute of Physics

    Ph.D. paolo amore, David Wales

  2. Exploring the Energy Landscape of the Logarithmic Potential: Local Minima and Stationary States

    Article • Journal of Statistical Physics, June 2026, Springer Science + Business Media

    Ph.D. paolo amore

  3. Lower and upper bounds for configurations of points on a sphere

    Article • Journal of Mathematical Physics, April 2026, American Institute of Physics

    Ph.D. paolo amore

  4. Thomson problem on a spherical cap

    Article • Physica A Statistical Mechanics and its Applications, January 2026, Elsevier

    Ph.D. paolo amore

  5. Exploring the Energy Landscape of the Thomson Problem: Local Minima and Stationary States

    Article • Journal of Statistical Physics, September 2025, Springer Science + Business Media

    Ph.D. paolo amore

  6. Fuzzy spheres in stringy matrix models: quantifying chaos in a mixed phase space

    Article • Journal of High Energy Physics, June 2025, Springer Science + Business Media

    Ph.D. paolo amore

  7. Circle packing on spherical caps

    Article • Physics of Fluids, September 2024, American Institute of Physics

    Ph.D. paolo amore

  8. Circle packing in arbitrary domains

    Article • Physics of Fluids, December 2023, American Institute of Physics

    Ph.D. paolo amore

  9. Thomson problem in the disk

    Article • Physical Review E, November 2023, American Physical Society (APS)

    Ph.D. paolo amore

  10. Quantum particles in a suddenly accelerating potential

    Article • Journal of Mathematical Physics, October 2023, American Institute of Physics

    Ph.D. paolo amore

  11. Echoes of the hexagon: remnants of hexagonal packing inside regular polygons

    Article • Physics of Fluids, April 2023, American Institute of Physics

    Ph.D. paolo amore

  12. The heterogeneous helicoseir

    Article • Physica D Nonlinear Phenomena, April 2023, Elsevier

    Ph.D. paolo amore

  13. Circle packing in regular polygons

    Article • Physics of Fluids, February 2023, American Institute of Physics

    Ph.D. paolo amore

  14. Comment on: “On the interaction of an electron with a nonuniform electric field under the influence of a cut-off point induced by the spiral dislocation topology”

    Article • Physica B Condensed Matter, January 2023, Elsevier

    Ph.D. paolo amore

  15. Efficient Algorithms for the Dense Packing of Congruent Circles Inside a Square

    Article • Discrete & Computational Geometry, August 2022, Springer Science + Business Media

    Ph.D. paolo amore

  16. Computing the solutions of the van der Pol equation to arbitrary precision

    Article • Physica D Nonlinear Phenomena, July 2022, Elsevier

    Ph.D. paolo amore

  17. An ubiquitous three-term recurrence relation

    Article • Journal of Mathematical Physics, March 2021, American Institute of Physics

    Ph.D. paolo amore

  18. Spectral sum rules for the Schrödinger equation

    Article • Annals of Physics, December 2020, Elsevier

    Ph.D. paolo amore

  19. On some conditionally solvable quantum-mechanical problems

    Article • Physica Scripta, September 2020, Institute of Physics Publishing

    Ph.D. paolo amore

  20. On the Hellmann-Feynman theorem in statistical mechanics

    Article • Physics Letters A, August 2020, Elsevier

    Ph.D. paolo amore

  21. Quantum particles in a moving potential

    Article • Physica Scripta, April 2020, Institute of Physics Publishing

    Ph.D. paolo amore

  22. Isospectral heterogeneous domains: A numerical study

    Article • Journal of Computational Physics X, January 2019, Elsevier

    Ph.D. paolo amore

  23. Weakly (and not so weakly) bound states of a relativistic particle in one dimension

    Article • Physics Letters A, August 2018, Elsevier

    Ph.D. paolo amore

  24. On the straightforward perturbation theory in classical mechanics

    Article • European Journal of Physics, June 2018, Institute of Physics Publishing

    Ph.D. paolo amore

  25. Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides

    Article • Computer Physics Communications, March 2018, Elsevier

    Ph.D. paolo amore

  26. Bound states in weakly deformed waveguides: numerical versus analytical results

    Article • Proceedings of ANZIAM, January 2018, Australian Mathematical Publishing Association, Inc.

    Ph.D. paolo amore, Professor Peter Zhevandrov

  27. High order analysis of the limit cycle of the van der Pol oscillator

    Article • Journal of Mathematical Physics, January 2018, American Institute of Physics

    Ph.D. paolo amore

  28. Exact sum rules for quantum billiards of arbitrary shape

    Article • Annals of Physics, January 2018, Elsevier

    Ph.D. paolo amore

  29. BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS

    Article • The ANZIAM Journal, October 2017, Cambridge University Press

    Ph.D. paolo amore, Professor Peter Zhevandrov

  30. A quantum-mechanical anharmonic oscillator with a most interesting spectrum

    Article • Annals of Physics, October 2017, Elsevier

    Ph.D. paolo amore

  31. Weakly Bound States in Heterogeneous Waveguides: A Calculation to Fourth Order

    Article • Acta Physica Polonica A, October 2017, Institute of Physics, Polish Academy of Sciences

    Ph.D. paolo amore

  32. Perturbation theory for short-range weakly-attractive potentials in one dimension

    Article • Annals of Physics, March 2017, Elsevier

    Ph.D. paolo amore

  33. Comment on “Thomson rings in a disk”

    Article • February 2017, American Physical Society (APS)

    Ph.D. paolo amore

  34. Comment on: “Ground state energies from converging and diverging power series expansions”, Ann. Phys. 373 (2016) 456–469

    Article • Annals of Physics, January 2017, Elsevier

    Ph.D. paolo amore

  35. Weakly bound states in heterogeneous waveguides

    Article • Zeitschrift für Physik B Condensed Matter and Quanta, July 2016, Springer Science + Business Media

    Ph.D. paolo amore

  36. High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences

    Article • Journal of Computational Physics, May 2016, Elsevier

    Ph.D. paolo amore

  37. Heterogeneous systems in d dimensions: lower spectrum

    Article • Proceedings of ANZIAM, February 2016, Australian Mathematical Publishing Association, Inc.

    Ph.D. paolo amore

  38. On the symmetry of three identical interacting particles in a one-dimensional box

    Article • Annals of Physics, November 2015, Elsevier

    Ph.D. paolo amore

  39. HETEROGENEOUS SYSTEMS IN DIMENSIONS: LOWER SPECTRUM

    Article • The ANZIAM Journal, October 2015, Cambridge University Press

    Ph.D. paolo amore

  40. Advanced Modern Physics

    Article • June 2015, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  41. Comment on: ‘PT-/non-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any ℓ -values’

    Article • Physica Scripta, June 2015, Institute of Physics Publishing

    Ph.D. paolo amore

  42. Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials

    Article • Journal of Mathematical Chemistry, March 2015, Springer Science + Business Media

    Ph.D. paolo amore

  43. Non-Hermitian oscillators withTdsymmetry

    Article • Annals of Physics, February 2015, Elsevier

    Ph.D. paolo amore

  44. Is space-time symmetry a suitable generalization of parity-time symmetry?

    Article • Annals of Physics, November 2014, Elsevier

    Ph.D. paolo amore

  45. Exact sum rules for inhomogeneous systems containing a zero mode

    Article • Annals of Physics, October 2014, Elsevier

    Ph.D. paolo amore

  46. Topics in Modern Physics

    Article • July 2014, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  47. Accurate calculation of the solutions to the Thomas–Fermi equations

    Article • Applied Mathematics and Computation, April 2014, Elsevier

    Ph.D. paolo amore

  48. PT-symmetric strings

    Article • Annals of Physics, April 2014, Elsevier

    Ph.D. paolo amore

  49. Exact sum rules for inhomogeneous strings

    Article • Annals of Physics, November 2013, Elsevier

    Ph.D. paolo amore

  50. One cannot hear the density of a drum (and further aspects of isospectrality)

    Article • Physical Review E, October 2013, American Physical Society (APS)

    Ph.D. paolo amore

  51. Exact sum rules for inhomogeneous drums

    Article • Annals of Physics, September 2013, Elsevier

    Ph.D. paolo amore

  52. Introduction to Modern Physics

    Article • June 2013, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  53. Comment on ‘Numerical estimates of the spectrum for anharmonic PT symmetric potentials’

    Article • Physica Scripta, March 2013, Institute of Physics Publishing

    Ph.D. paolo amore

  54. Mathematical analysis of recent analytical approximations to the collapse of an empty spherical bubble

    Article • The Journal of Chemical Physics, February 2013, American Institute of Physics

    Ph.D. paolo amore

  55. Solution to the equations of the moment expansions

    Article • Open Physics, January 2013, De Gruyter

    Ph.D. paolo amore

  56. Particle correlation from uncorrelated non Born–Oppenheimer SCF wavefunctions

    Article • Journal of Mathematical Chemistry, December 2012, Springer Science + Business Media

    Ph.D. paolo amore

  57. A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards

    Article • Journal of Mathematical Physics, December 2012, American Institute of Physics

    Ph.D. paolo amore

  58. Bound states for the quantum dipole moment in two dimensions

    Article • Journal of Physics B Atomic Molecular and Optical Physics, November 2012, Institute of Physics Publishing

    Ph.D. paolo amore

  59. Bound states in open-coupled asymmetrical waveguides and quantum wires

    Article • Journal of Physics A Mathematical and Theoretical, February 2012, Institute of Physics Publishing

    Ph.D. paolo amore

  60. Accurate calculation of the bound states of the quantum dipole problem in two dimensions

    Article • Open Physics, January 2012, De Gruyter

    Ph.D. paolo amore

  61. Accurate calculation of the eigenvalues of non-uniform strings and membranes

    Article • Open Physics, January 2012, De Gruyter

    Ph.D. paolo amore

  62. High-order connected moments expansion for the Rabi Hamiltonian

    Article • Open Physics, January 2012, De Gruyter

    Ph.D. paolo amore

  63. Further analysis of the connected moments expansion

    Article • Journal of Physics A Mathematical and Theoretical, November 2011, Institute of Physics Publishing

    Ph.D. paolo amore

  64. The string of variable density: Further results

    Article • Annals of Physics, September 2011, Elsevier

    Ph.D. paolo amore

  65. Spectroscopy of annular drums and quantum rings: Perturbative and nonperturbative results

    Article • Journal of Mathematical Physics, June 2011, American Institute of Physics

    Ph.D. paolo amore

  66. Comment on ‘Coupled anharmonic oscillators: the Raileigh–Ritz approach versus the collocation approach’

    Article • Physica Scripta, March 2011, Institute of Physics Publishing

    Ph.D. paolo amore

  67. Collocation method for fractional quantum mechanics

    Article • Journal of Mathematical Physics, December 2010, American Institute of Physics

    Ph.D. paolo amore

  68. The string of variable density: Perturbative and non-perturbative results

    Article • Annals of Physics, December 2010, Elsevier

    Ph.D. paolo amore

  69. Can one hear the density of a drum? Weyl's law for inhomogeneous media

    Article • EPL (Europhysics Letters), October 2010, Institute of Physics Publishing

    Ph.D. paolo amore

  70. Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results

    Article • Journal of Mathematical Physics, May 2010, American Institute of Physics

    Ph.D. paolo amore

  71. Collocation approach to the Helmholtz eigenvalue problem on multiply connected domains

    Article • Journal of Sound and Vibration, April 2010, Elsevier

    Ph.D. paolo amore

  72. Variational collocation for systems of coupled anharmonic oscillators

    Article • Physica Scripta, March 2010, Institute of Physics Publishing

    Ph.D. paolo amore

  73. One-dimensional oscillator in a box

    Article • European Journal of Physics, November 2009, Institute of Physics Publishing

    Ph.D. paolo amore

  74. Rayleigh–Ritz variation method and connected-moments expansions

    Article • Physica Scripta, November 2009, Institute of Physics Publishing

    Ph.D. paolo amore

  75. The virial theorem for nonlinear problems

    Article • European Journal of Physics, July 2009, Institute of Physics Publishing

    Ph.D. paolo amore

  76. A new method for studying the vibration of non-homogeneous membranes

    Article • Journal of Sound and Vibration, March 2009, Elsevier

    Ph.D. paolo amore

  77. Collocation on uniform grids

    Article • Journal of Physics A Mathematical and Theoretical, February 2009, Institute of Physics Publishing

    Ph.D. paolo amore

  78. Eigenvalues from power-series expansions: an alternative approach

    Article • Journal of Physics A Mathematical and Theoretical, January 2009, Institute of Physics Publishing

    Ph.D. paolo amore

  79. Solving the Helmholtz equation for membranes of arbitrary shape: numerical results

    Article • Journal of Physics A Mathematical and Theoretical, June 2008, Institute of Physics Publishing

    Ph.D. paolo amore

  80. Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential

    Article • Physics Letters A, April 2008, Elsevier

    Ph.D. paolo amore

  81. Inversion of the perturbation series

    Article • Journal of Physics A Mathematical and Theoretical, December 2007, Institute of Physics Publishing

    Ph.D. paolo amore

  82. Variational collocation on finite intervals

    Article • Journal of Physics A Mathematical and Theoretical, October 2007, Institute of Physics Publishing

    Ph.D. paolo amore

  83. Alternative implementation of Padé approximants

    Article • Physical Review D, October 2007, American Physical Society (APS)

    Ph.D. paolo amore

  84. Dalgarno–Lewis perturbation theory for scattering states

    Article • Physics Letters A, July 2007, Elsevier

    Ph.D. paolo amore

  85. Gravitational lensing from compact bodies: Analytical results for strong and weak deflection limits

    Article • Physical Review D, April 2007, American Physical Society (APS)

    Ph.D. paolo amore

  86. Wronskian perturbation theory

    Article • The European Physical Journal A, April 2007, Springer Science + Business Media

    Ph.D. paolo amore

  87. Comment on “Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation”

    Article • Physical Review D, March 2007, American Physical Society (APS)

    Ph.D. paolo amore

  88. Alternative representation for nonlocal operators and path integrals

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

    Ph.D. paolo amore

  89. Development of accurate solutions for a classical oscillator

    Article • Journal of Sound and Vibration, February 2007, Elsevier

    Ph.D. paolo amore

  90. Convergence acceleration of series through a variational approach

    Article • Journal of Mathematical Analysis and Applications, November 2006, Elsevier

    Ph.D. paolo amore

  91. Analytical formulas for gravitational lensing: Higher order calculation

    Article • Physical Review D, October 2006, American Physical Society (APS)

    Ph.D. paolo amore

  92. Comment on an application of the asymptotic iteration method to a perturbed Coulomb model

    Article • Journal of Physics A General Physics, August 2006, Institute of Physics Publishing

    Ph.D. paolo amore

  93. Analytical approximations to the spectra of quark–antiquark potentials

    Article • Journal of Physics G Nuclear and Particle Physics, June 2006, Institute of Physics Publishing

    Dr. Jorge Alberto Lopez, Ph.D. paolo amore

  94. A variational sinc collocation method for strong-coupling problems

    Article • Journal of Physics A General Physics, May 2006, Institute of Physics Publishing

    Ph.D. paolo amore

  95. The IX Mexican Workshop on Particles and Fields

    Article • Journal of Physics Conference Series, May 2006, Institute of Physics Publishing

    Ph.D. paolo amore

  96. Analytical formulas for gravitational lensing

    Article • Physical Review D, April 2006, American Physical Society (APS)

    Ph.D. paolo amore

  97. Dispersion relation of the nonlinear Klein-Gordon equation through a variational method

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2006, American Institute of Physics

    Ph.D. paolo amore

  98. Alternative perturbation approaches in classical mechanics

    Article • European Journal of Physics, August 2005, Institute of Physics Publishing

    Ph.D. paolo amore

  99. One-loop integrals at finite temperature

    Article • Journal of Physics A General Physics, July 2005, Institute of Physics Publishing

    Ph.D. paolo amore

  100. Asymptotic and exact series representations for the incomplete Gamma function

    Article • EPL (Europhysics Letters), July 2005, Institute of Physics Publishing

    Ph.D. paolo amore

  101. A new approximation method for time-dependent problems in quantum mechanics

    Article • Physics Letters A, June 2005, Elsevier

    Ph.D. paolo amore

  102. Comparison of alternative improved perturbative methods for nonlinear oscillations

    Article • Physics Letters A, June 2005, Elsevier

    Ph.D. paolo amore

  103. Exact and approximate expressions for the period of anharmonic oscillators

    Article • European Journal of Physics, May 2005, Institute of Physics Publishing

    Ph.D. paolo amore

  104. Improved Lindstedt–Poincaré method for the solution of nonlinear problems

    Article • Journal of Sound and Vibration, May 2005, Elsevier

    Ph.D. paolo amore

  105. The period of a classical oscillator

    Article • EPL (Europhysics Letters), May 2005, Institute of Physics Publishing

    Ph.D. paolo amore

  106. Systematic perturbation calculation of integrals with applications to physics

    Article • Physical Review E, January 2005, American Physical Society (APS)

    Ph.D. paolo amore

  107. Comparative study of quantum anharmonic potentials

    Article • Physics Letters A, September 2004, Elsevier

    Dr. Jorge Alberto Lopez, Ph.D. paolo amore

  108. High order analysis of nonlinear periodic differential equations

    Article • Physics Letters A, June 2004, Elsevier

    Ph.D. paolo amore

  109. A new method for the solution of the Schrödinger equation

    Article • Journal of Physics A General Physics, February 2004, Institute of Physics Publishing

    Ph.D. paolo amore

  110. COLOUR SUPERCONDUCTIVITY IN FINITE SYSTEMS

    Article • International Journal of Modern Physics B, November 2003, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  111. Presenting a new method for the solution of nonlinear problems

    Article • Physics Letters A, September 2003, Elsevier

    Ph.D. paolo amore

  112. Pion dispersion relation at finite density and temperature

    Article • Physical Review C, October 2002, American Physical Society (APS)

    Ph.D. paolo amore

  113. Colour Superconductivity in Finite Systems

    Article • Acta Physica Hungarica A) Heavy Ion Physics, October 2002, Springer Science + Business Media

    Ph.D. paolo amore

  114. Color superconductivity in finite systems

    Article • Physical Review D, March 2002, American Physical Society (APS)

    Ph.D. paolo amore

  115. Quark distribution functions in nuclear matter

    Article • Journal of Physics G Nuclear and Particle Physics, July 2001, Institute of Physics Publishing

    Ph.D. paolo amore

  116. Contrasting and parity-violating asymmetries in nuclei

    Article • Nuclear Physics A, July 2001, Elsevier

    Ph.D. paolo amore

  117. Relativistic Hamiltonians in many-body theories

    Article • Physical Review C, June 1996, American Physical Society (APS)

    Ph.D. paolo amore