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  1. Circle packing on spherical caps

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

    Ph.D. paolo amore

  2. Circle packing in arbitrary domains

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

    Ph.D. paolo amore

  3. Quantum particles in a suddenly accelerating potential

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

    Ph.D. paolo amore

  4. 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

  5. Circle packing in regular polygons

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

    Ph.D. paolo amore

  6. An ubiquitous three-term recurrence relation

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

    Ph.D. paolo amore

  7. Spectral sum rules for the Schrödinger equation

    Article • Annals of Physics, December 2020, Elsevier

    Ph.D. paolo amore

  8. On some conditionally solvable quantum-mechanical problems

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

    Ph.D. paolo amore

  9. On the Hellmann-Feynman theorem in statistical mechanics

    Article • Physics Letters A, August 2020, Elsevier

    Ph.D. paolo amore

  10. Quantum particles in a moving potential

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

    Ph.D. paolo amore

  11. Isospectral heterogeneous domains: A numerical study

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

    Ph.D. paolo amore

  12. 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

  13. On the straightforward perturbation theory in classical mechanics

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

    Ph.D. paolo amore

  14. 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

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

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

    Ph.D. paolo amore, Professor Peter Zhevandrov

  16. 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

  17. Exact sum rules for quantum billiards of arbitrary shape

    Article • Annals of Physics, January 2018, Elsevier

    Ph.D. paolo amore

  18. 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

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

    Article • Annals of Physics, October 2017, Elsevier

    Ph.D. paolo amore

  20. 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

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

    Article • Annals of Physics, March 2017, Elsevier

    Ph.D. paolo amore

  22. Comment on “Thomson rings in a disk”

    Article • February 2017, American Physical Society (APS)

    Ph.D. paolo amore

  23. 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

  24. Weakly bound states in heterogeneous waveguides

    Article • The European Physical Journal B, July 2016, Springer Science + Business Media

    Ph.D. paolo amore

  25. 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

  26. Heterogeneous systems in d dimensions: lower spectrum

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

    Ph.D. paolo amore

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

    Article • Annals of Physics, November 2015, Elsevier

    Ph.D. paolo amore

  28. HETEROGENEOUS SYSTEMS IN DIMENSIONS: LOWER SPECTRUM

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

    Ph.D. paolo amore

  29. Advanced Modern Physics

    Article • June 2015, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  30. 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

  31. 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

  32. Non-Hermitian oscillators withTdsymmetry

    Article • Annals of Physics, February 2015, Elsevier

    Ph.D. paolo amore

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

    Article • Annals of Physics, November 2014, Elsevier

    Ph.D. paolo amore

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

    Article • Annals of Physics, October 2014, Elsevier

    Ph.D. paolo amore

  35. Topics in Modern Physics

    Article • July 2014, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

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

    Article • Applied Mathematics and Computation, April 2014, Elsevier

    Ph.D. paolo amore

  37. PT-symmetric strings

    Article • Annals of Physics, April 2014, Elsevier

    Ph.D. paolo amore

  38. Exact sum rules for inhomogeneous strings

    Article • Annals of Physics, November 2013, Elsevier

    Ph.D. paolo amore

  39. 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

  40. Exact sum rules for inhomogeneous drums

    Article • Annals of Physics, September 2013, Elsevier

    Ph.D. paolo amore

  41. Introduction to Modern Physics

    Article • June 2013, World Scientific Pub Co Pte Lt

    Ph.D. paolo amore

  42. 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

  43. 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

  44. Solution to the equations of the moment expansions

    Article • Open Physics, January 2013, De Gruyter

    Ph.D. paolo amore

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

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

    Ph.D. paolo amore

  46. 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

  47. 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

  48. 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

  49. 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

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

    Article • Open Physics, January 2012, De Gruyter

    Ph.D. paolo amore

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

    Article • Open Physics, January 2012, De Gruyter

    Ph.D. paolo amore

  52. 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

  53. The string of variable density: Further results

    Article • Annals of Physics, September 2011, Elsevier

    Ph.D. paolo amore

  54. 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

  55. 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

  56. Collocation method for fractional quantum mechanics

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

    Ph.D. paolo amore

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

    Article • Annals of Physics, December 2010, Elsevier

    Ph.D. paolo amore

  58. 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

  59. 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

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

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

    Ph.D. paolo amore

  61. Variational collocation for systems of coupled anharmonic oscillators

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

    Ph.D. paolo amore

  62. One-dimensional oscillator in a box

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

    Ph.D. paolo amore

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

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

    Ph.D. paolo amore

  64. The virial theorem for nonlinear problems

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

    Ph.D. paolo amore

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

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

    Ph.D. paolo amore

  66. Collocation on uniform grids

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

    Ph.D. paolo amore

  67. 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

  68. 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

  69. 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

  70. Inversion of the perturbation series

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

    Ph.D. paolo amore

  71. Variational collocation on finite intervals

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

    Ph.D. paolo amore

  72. Alternative implementation of Padé approximants

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

    Ph.D. paolo amore

  73. Dalgarno–Lewis perturbation theory for scattering states

    Article • Physics Letters A, July 2007, Elsevier

    Ph.D. paolo amore

  74. 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

  75. Wronskian perturbation theory

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

    Ph.D. paolo amore

  76. 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

  77. Alternative representation for nonlocal operators and path integrals

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

    Ph.D. paolo amore

  78. Development of accurate solutions for a classical oscillator

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

    Ph.D. paolo amore

  79. Convergence acceleration of series through a variational approach

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

    Ph.D. paolo amore

  80. Analytical formulas for gravitational lensing: Higher order calculation

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

    Ph.D. paolo amore

  81. 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

  82. 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

  83. 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

  84. The IX Mexican Workshop on Particles and Fields

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

    Ph.D. paolo amore

  85. Analytical formulas for gravitational lensing

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

    Ph.D. paolo amore

  86. 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

  87. Alternative perturbation approaches in classical mechanics

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

    Ph.D. paolo amore

  88. One-loop integrals at finite temperature

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

    Ph.D. paolo amore

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

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

    Ph.D. paolo amore

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

    Article • Physics Letters A, June 2005, Elsevier

    Ph.D. paolo amore

  91. Comparison of alternative improved perturbative methods for nonlinear oscillations

    Article • Physics Letters A, June 2005, Elsevier

    Ph.D. paolo amore

  92. 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

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

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

    Ph.D. paolo amore

  94. The period of a classical oscillator

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

    Ph.D. paolo amore

  95. Systematic perturbation calculation of integrals with applications to physics

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

    Ph.D. paolo amore

  96. Comparative study of quantum anharmonic potentials

    Article • Physics Letters A, September 2004, Elsevier

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

  97. High order analysis of nonlinear periodic differential equations

    Article • Physics Letters A, June 2004, Elsevier

    Ph.D. paolo amore

  98. 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

  99. COLOUR SUPERCONDUCTIVITY IN FINITE SYSTEMS

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

    Ph.D. paolo amore

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

    Article • Physics Letters A, September 2003, Elsevier

    Ph.D. paolo amore

  101. Pion dispersion relation at finite density and temperature

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

    Ph.D. paolo amore

  102. Colour Superconductivity in Finite Systems

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

    Ph.D. paolo amore

  103. Color superconductivity in finite systems

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

    Ph.D. paolo amore

  104. 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

  105. Contrasting and parity-violating asymmetries in nuclei

    Article • Nuclear Physics A, July 2001, Elsevier

    Ph.D. paolo amore

  106. Relativistic Hamiltonians in many-body theories

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

    Ph.D. paolo amore