Publications

2015

• A. Makowski
  "A Coulomb-related family of potentials having zero-energy bound states"
  Ann. Phys. 361 (2015), 44-50
  DOI: http://dx.doi.org/10.1016/j.aop.2015.06.003

2013

• A. Makowski, P. Pepłowski
  "Dynamics of zero-energy nonspreading non-Gaussian wave packets for a class of central potentials"
  Ann. Phys. 337 (2013), 25-33
  DOI: doi.org/10.1016/j.aop.2013.06.011

2012

• A. Makowski, P. Pepłowski
  "Zero-energy wave packets that follow classical orbits"
  Phys. Rev. A. 86 (2012), 042117-1-042117-5
  DOI: 10.1103/PhysRevA.86.042117

2011

• A. Makowski
  "Bound states and quantization of screening in the Wannier-Mott excitons"
  Phys. Rev. A. 83 (2011), 022104-1-5
  DOI: 10.1103/PhysRevA.83.022104


• A. Makowski
  "Quantum and classical solutions for statically screened two-dimensional Wannier-Mott excitons"
  Phys. Rev. A. 84 (2011), 022108-1-7
  DOI: 10.1103/PhysRevA.84.022108

2010

• A. Makowski
  "Family of fish-eye-related models and their supersymmetric partners"
  Phys. Rev. A. 81 (2010), 052109-1-4
  DOI: 10.1103/PhysRevA.81.052109


• A. Makowski
  "Quantum-classical correspondence for motion on a plane with deficit angle"
  Ann. Phys. 325 (2010), 1622-1632
  DOI: 10.1016/j.aop.2010.02.013

2009

• A. Makowski
  "Exact, zero-energy, square-integrable solutions of a model related to the Maxwell’s fish-eye problem"
  Ann. Phys. 324 (2009), 2465-2472
  DOI: 10.1016/j.aop.2009.09.012


• A. Makowski, K. Górska
  "Quantization of the Maxwell fish-eye problem and the quantum-classical correspondence"
  Phys. Rev. A. 79 (2009), 052116 -1-6
  DOI: 10.1103/PhysRevA.79.052116

2007

• A. Makowski, K. Górska
  "Fractional and integer angular momentum wavefunctions localized on classical orbits: the case of E=0"
  J. Phys. A 40 (2007), 11373-11383
  DOI: 10.1088/1751-8113/40/37/013


• A. Makowski, K. Górska
  "Unusual properties of some E=0 localized states and the quantum-classical correspondence"
  Phys. Lett. A 362 (2007), 26-30
  DOI: 10.1016/j.physleta.2006.10.025

2006

• A. Makowski
  "A brief survey of various formulations of the corresponding principle"
  Eur. J. Phys. 27 (2006), 1133-1139
  DOI: 10.1088/0143-0807/27/5/012


• S. Dembiński, A. Makowski, K. Górska
  "Correspondence between some wave patterns and Lissajous figures"
  J. Phys. A 39 (2006), 13285-13293
  DOI: 10.1088/0305-4470/39/42/006

2005

• A. Makowski
  "Comment on `Vortex structure of quantum eigenstates and classical periodic orbits in two-dimensional harmonic oscillators`"
  J. Phys. A 38 (2005), 2299-2302
  DOI: 10.1088/0305-4470/38/10/N01

2004

• A. Makowski, K. Górska
  "Zero-energy quantum states for a class of noncentral potentials and an exact classical limit"
  Acta Phys. Pol. B 35 (2004), 579-585

2003

• A. Makowski
  "Exact classical limit of quantum mechanics: Noncentral potentials and Ermakov-type invariants"
  Phys. Rev. A. 68 (2003), 022102-1-5
  DOI: 10.1103/PhysRevA.68.022102

2002

• A. Makowski, K. Górska
  "Bohr's correspondence principle: The cases for which it is exact"
  Phys. Rev. A. 66 (2002), 062103-1-6
  DOI: 10.1103/PhysRevA.66.062103


• A. Makowski
  "Exact classical limit of quantum mechanics: Central potentials and specific states"
  Phys. Rev. A. 65 (2002), 032103-1-5
  DOI: 10.1103/PhysRevA.65.032103


• A. Makowski
  "Forced dynamical systems derivable from Bohmian mechanics"
  Acta Phys. Pol. B 33 (2002), 583-592

2001

• A. Makowski, mgr M.Frackowiak
  "The simplest non-trivial model of chaotic causal dynamics"
  Acta Phys. Pol. B 32 (2001), 2831-2842

2000

• A. Makowski, P. Pepłowski, S. Dembiński
  "Chaotic casual trajectories:the role of the phase of stationary states"
  Phys. Lett. A 266 (2000), 241-248