List of publications by Iwo Bialynicki-Birula

Books:

1.            Quantum Electrodynamics (in Polish), Polish Scientific Publishers, Warszawa 1969, 394 pages, (with Z.Bialynicka-Birula).

2.            Introduction into Quantized Fields (in Polish), Polish Scientific Publishers, Warszawa 1971, 208 pages.

3.            Quantum Electrodynamics (in Polish), Polish Scientific Publishers, Warszawa 1974, 426 pages, II revised edition, (with Z.Bialynicka-Birula).

4.            Quantum Electrodynamics, Pergamon, Oxford 1975, 548 pages, (with Z. Bialynicka-Birula).

5.            Teoria Kwantow, (in Polish), Polish Scientific Publishers, Warszawa, 1991, (with M.Cieplak and J.Kaminski) 480 pages.

6.            The Theory of Quanta (with M.Cieplak and J.Kaminski), Oxford University Press, Oxford, 1992, 494 pages.

7.            Teoria Kwantow, (in Polish), Polish Scientific Publishers, Warszawa, 2001, (with M.Cieplak and J.Kaminski) 500 pages. Second Expanded Edition Warszawa, 500 pages.

8.            Modelowanie Rzeczywistosci (with Iwona Bialynicka-Birula), Proszynski i Ska, Warszawa, 2002, 136 pages.

9.            Modeling Reality (with Iwona Bialynicka-Birula), Oxford University Press, Oxford, 2004, 180 pages.

10.            Modelowanie Rzeczywistosci (with Iwona Bialynicka-Birula), Wydawnictwa Naukowo-Techniczne, Warszawa, 2007, 192 pages.

Articles:

1.            A new approach to time reflection, Bull. Acad. Polon. Sci. Cl.III 5, 805 (1957).

2.            On internal degrees of freedom of particles in quantum field theory, Bull. Acad. Polon. Sci. Cl.III 5, 905 (1957).

3.            On the polarization and magnetic moment of spinor particles in quantum field theory, Bull. Acad. Polon. Sci. Cl.III 5, 1119 (1957), (with Z.Bialynicka-Birula).

4.            On operators characterizing the internal degrees of freedom of interacting fields, Bull. Acad. Polon. Sci. Cl.III 5, 1123 (1957).

5.            Schwinger's functional without any anticommuting external sources, Bull. Acad. Polon. Sci. Cl.III 5, 1127 (1957).

6.            On the internal degrees of freedom of particles in quantum field theory, Acta Physica Polonica 17, 153 (1958).

7.            The field theory with Yukawa coupling in one dimension, Nuovo Cimento 10, 1150 (1958).

8.            On the Lee model, Bull. Acad. Polon. Sci. Cl.III 7, 77 (1959).

9.            Lee model and the local field theory, Nuclear Physics 12, 309 (1959).

10.        On gauge properties of Green's functions, Nuovo Cimento 17, 951 (1960).

11.        Finite value for the wave function renormalization constant in quantum electrodynamics, Nuovo Cimento 17, 122 (1960).

12.        New approach to perturbation theory in quantum electrodynamics, Physical Review Letters 5, 584 (1961).

13.        Finite perturbation theory in quantum electrodynamics, Physical Review 122, 1942 (1961).

14.        Convergence of the perturbation expansion in some models of the field theory (with W.M.Frank), Nuovo Cimento 22, 1039 (1961).

15.        Convergence of the perturbation expansion in meson theories without the vacuum polarization (with W.M.Frank), Nuovo Cimento 23, 547 (1962).

16.        On the gauge conditions in quantum electrodynamics, Bull. Acad. Polon. Sci. Cl.III 10, 225 (1962).

17.        On the gauge covariance of quantum electrodynamics, Journal of Mathematical Physics 3, 1094 (1962).

18.        On a renormalizable theory of vector mesons, Bull. Acad. Polon. Sci. Cl.III 10, 309 (1962).

19.        Equations for the propagators in the gauge covariant formulation of quantum electrodynamics, Bull. Acad. Polon. Sci. Cl.III 10, 381 (1962).

20.        Certain equivalence theorems in quantum field theory, Bull. Acad. Polon. Sci. Cl.III 10, 385 (1962).

21.        Quantum electrodynamics without electromagnetic field, Physical Review 130, 465 (1962).

22.        Gauge invariant variables in the Yang-Mills theory, Bull. Acad. Polon. Sci. Cl.III 11, 135 (1963).

23.        Elementary particles and generalized statistics, Nuclear Physics 49, 605 (1963).

24.        Functional methods in the Thirring model (with J.Sniatycki and S.Tatur), Bull. Acad. Polon. Sci. Cl.III 11, 479 (1963).

25.        Gauge covariant and gauge invariant Green functions. Connection between Zumino's and Mandelstam's formulations, Bull. Acad. Polon. Sci. Cl.III 11, 483 (1964).

26.        On the electron propagator in the two-component formulation of quantum electrodynamics, Bull. Acad. Polon. Sci. Cl.III 12, 231 (1964).

27.        Two-component formulation of quantum electrodynamics, Proceedings of the Winter School in Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 1964, p.164 (in Russian).

28.        Commutation relations for the energy momentum tensor, Nuovo Cimento 35, 697 (1965).

29.        Simplified renormalization theory in quantum electrodynamics, Bull. Acad. Polon. Sci. Cl.III 13, 409 (1965).

30.        Simplified renormalization theory in mesodynamics, Bull. Acad. Polon. Sci. Cl.III 13, 585 (1965).

31.        Theorem concerning gauge invariance in quantum electrodynamics, Physical Review 155, 1414 (1967).

32.        Current-field equal-time commutation relations (with Nguen van Hieu), Joint Institute for Nuclear Research, JINR preprint E2-3006, Dubna, 1964.

33.        Dynamics of the Ising chain (with J.Piasecki), Bull. Acad. Polon. Sci. Cl.III 15, 211 (1967).

34.        Green's functions for the Ising chain (with J.Piasecki), Journal of Mathematical Physics 9, 1602 (1968).

35.        Gauge transformations in the S-matrix theory, Physical Review 166, 1505 (1968).

36.        Feynman diagrams in statistical physics, Acta Universitatis Wratislaviensis, No.80, 9 (1968).

37.        Explicit solution of the continuous Baker-Campbell-Hausdorff problem and a new expression for the phase operator (with B.Mielnik and J.Plebanski), Annals of Physics 51, 187 (1969).

38.        Phase operator in the scattering theory, Proceedings of the IX Cracow School of Theoretical Physics, Institute of Nuclear Research, Cracow 1969, vol.I, p.103.

39.        Perturbation expansions of field operators in quantum electrodynamics (with A.Bechler), Acta Physica Polonica 36, 825 (1969).

40.        Gauge invariant canonical formalism, Reports on Mathematical Physics 1, 83 (1970).

41.        Exactly soluble model of relativistic field theory, Physical Review D 1, 864 (1970).

42.        Nonlinear effects in quantum electrodynamics. Photon propagation and photon splitting in an external field, (with Z.Bialynicka-Birula), Physical Review D 2, 2341 (1970).

43.        Renormalization, diagrams and gauge invariance, Physical Review D 2, 2877 (1970).

44.        Classical electrodynamics in two dimensions: Exact solution, Physical Review D 3, 864 (1971).

45.        Solutions of the equations of motion in classical and quantum theories, Annals of Physics 67, 252 (1971).

46.        Magnetic monopoles in the hydrodynamic formulation of quantum mechanics, (with Z.Bialynicka-Birula) Physical Review D 3, 2410 (1971).

47.        Relativistic quantum mechanics of dyons. Exact solution , Physical Review D3, 2431 (1971).

48.        Semiclassical model of high energy scattering (with A.Bechler), Acta Physica Polonica B 3, 163 (1972).

49.        Completeness of evanescent waves, (with J.Brojan), Physical Review D 5, 485 (1972).

50.        On the classical theory of relativistic point-like particles, Archiv for Det Fysiske Seminar i Trondheim, No.8 (1972).

51.        Canonical formulation of relativistic hydrodynamics (with Z.Iwinski), Reports in Mathematical Physics 4, 139 (1973).

52.        Quantum electrodynamics of intense photon beams, (with Z.Bialynicka-Birula), Physical Review A 8, 3146 (1973).

53.        Comment on an exactly soluble model of relativistic field theory, (with O.W.Greenberg and J.C.Sandusky), Physical Review D 7, 1929 (1973).

54.        Wave equations with logarithmic nonlinearities (with J.Mycielski), Bull. Acad. Polon. Sci. Cl.III 23, 461 (1975).

55.        Uncertainty relations for information entropy (with J.Mycielski), Communications in Mathematical Physics 44, 129 (1975).

56.        Nonlinear wave mechanics (with J.Mycielski), Annals of Physics 100, 62 (1976)).

57.        Charge conservation and gauge invariance, in Mathematical Physics and Physical Mathematics, Eds. K.Maurin and R.Raczka, Reidel, Dordrecht 1976, p.39.

58.        Quantum electrodynamics of intense photon beams. New approximation method, (with Z.Bialynicka-Birula), Physical Review A 14, 1101 (1976).

59.        Nonperturbative calculation of the Bloch-Siegert shift (with Z.Bialynicka-Birula), Lettere al Nuovo Cimento 15, 627 (1976).

60.        Triple optical resonance (with Z.Bialynicka-Birula), Physical Review A 16, 1318 (1977).

61.        Classical limit of quantum electrodynamics, Acta Physica Austriaca, Suppl. 18, 111 (1977).

62.        Coherent dynamics of N-level atoms and molecules. I.Numerical experiments, (with J.H.Eberly, B.Shore and Z.Bialynicka-Birula), Physical Review A 16, 2038 (1977).

63.        Coherent dynamics of N-level atoms and molecules. II. Analytic solutions, (with Z.Bialynicka-Birula, J.H.Eberly and B.Shore), Physical Review A 16, 2048 (1977).

64.        Nonlinear wave mechanics, Proceedings of the III School of Elementary Particles and High Energy Physics, Institute of Nuclear Research and Nuclear Energy, Sofia 1977, p.178.

65.        Collisions of Gaussons (with J.Oficjalski), Acta Physica Polonica B 9, 759 (1978).

66.        New algorithm for numerical calculation of energies of N-level systems interacting with quantized electromagnetic field (with Cao Long Van), Bull.Acad.Polon.Sci.Cl.III 26, 1051 (1978).

67.        No-go theorem concerning the superradiant transition in atomic systems(with K.Rzazewski), Physical Review A 19, 301 (1979).

68.        On the stability of solitons, in Nonlinear Problems in Theoretical Physics, Lecture Notes in Physics 98, Springer, Berlin 1979, p.16.

69.        Gaussons: Solitons of the Logarithmic Schroedinger equation (with J.Mycielski), Physica Scripta 20, 539 (1979).

70.        Quantization of gauge theories, Bull.Acad.Polon.Sci.Cl.III 27, 249 (1979).

71.        Phase representation of intense photon beams and its applications, in Foundations of Radiation Theory and Quantum Electrodynamics, Ed. A.O.Barut, Plenum, New York 1980, p.119.

72.        On the phase representation, in Quantum Optics, Proceedings of the Summer School on Quantum Optics, Institute of Physics, University of Gdansk, Gdansk 1980, p.28.

73.        Energy levels of dressed atoms and resonance phenomena (with Cao Long Van), Acta Physica Polonica A 57, 599 (1980).

74.        A note on helicity(with E.T.Newman, J.Porter, J.Winicour, Z.Perjes and A.Sebestyen), Journal of Mathematical Physics 22, 2530 (1981).

75.        Nonlinear electrodynamics: Variations on a theme by Born and Infeld, in Quantum Theory of Particles and Fields, Eds. B.Jancewicz and J.Lukierski, World Scientific, Singapore 1983, p.31.

76.        The Hamiltonian of quantum electrodynamics, in Quantum Electrodynamics and Quantum Optics, Ed. A.O.Barut, Plenum, New York 1984, p.41.

77.        Classical model of the electron. Exactly soluble model, Physical Review D 28, 2114 (1983).

78.        Comment on the quantization in the temporal gauge (with P.Kurzepa), Physical Review D 29, 3000 (1984).

79.        Entropic uncertainty relations, Physics Letters 103A, 253 (1984).

80.        Gauge-independent canonical formulation of relativistic plasma theory (with J.C.Hubbard and L.A.Turski), Physica 128A, 509 (1984).

81.        Entropic uncertainty relations in quantum mechanics, in Quantum Probability and Applications II, Eds. L.Accardi and W.von Waldenfels, Lecture Notes in Mathematics 1136, Springer, Berlin 1985, p. 90.

82.        Solutions of Vlasov-Maxwell equations for magnetically confined cold plasma (with Z.Bialynicka-Birula), Physica 133A, 228 (1985).

83.        Entropic uncertainty relations for angular distributions (with J.L.Madajczyk), Physics Letters 108A, 384 (1985).

84.        Exact solutions of nonrelativistic classical and quantum field theory with harmonic forces, Letters in Mathematical Physics 10, 189 (1985).

85.        Dynamical treatment of constraints in gauge theories: Integration over all potentials, in Spontaneous Symmetry Breakdown and Related Subjects, Eds. L.Michel, J.Mozrzymas and A.Pekalski, World Scientific, Singapore 1985, p.399.

86.        Transition amplitudes versus transition probabilities and a reduplication of space-time, in Quantum Concepts in Space and Time, Eds. R.Penrose and C.J.Isham, Clarendon Press, Oxford 1986, p.226.

87.        Model studies of collective atomic excitations by intense laser fields (with Z.Bialynicka-Birula), Physical Review A 33, 1671 (1986).

88.        Beyond the coherent states: Gaussons of the electromagnetic field, in Coherence, Cooperation and Fluctuations, Eds. F.Haake, L.M.Narducci and D.F.Walls, Cambridge University Press, Cambridge 1986, p.159.

89.        Comment on "Quantum electrodynamics based on self-energy: Lamb shift and spontaneous emission without field quantization", Physical Review A 34, 3500 (1986).

90.        Breaking of gauge symmetry by external sources and integration over all potentials (with J.Przeszowski), in Quantum Field Theory and Quantum Statistics, Eds. I.A.Batalin, C.J.Isham and G.A.Vilkovisky, Adam Hilger, Bristol 1987, p.565.

91.        Collective excitations of electrons by an intense wave in a magnetic field (with Z.Bialynicka-Birula), Journal of the Optical Society of America B 3, 1311 (1986).

92.        Berry's phase in the relativistic theory of spinning particles (with Z.Bialynicka-Birula), Physical Review D 35, 2383 (1987).

93.        Space-time description of squeezing (with Z.Bialynicka-Birula), Journal of the Optical Society of America B 4, 16, (1987).

94.        Squeezed states of light and sound, in Physics of Phonons, Ed. T.Paszkiewicz, Lecture Notes in Physics Vol.285, Springer, Berlin 1987, p.226.

95.        Nonlinear structure of the electromagnetic vacuum, Physica Scripta T 121, 22, (1988).

96.        Does measurement reverse the direction of intrinsic time?, Physica B 151, 302 (1988).

97.        Can perturbative field theory be made finite?, in Functional Integration, Geometry and Strings, Proceedings of the XXV Karpacz Winter School of Theoretical Physics, Eds. Z.Haba and J.Sobczyk, Birkhauser, Basel 1989, p. 414.

98.        Angular correlations of bosons and fermions (with Z.Bialynicka-Birula), in Coherence and Quantum Optics VI, Eds. J.H.Eberly, L.Mandel and E.Wolf, Plenum, New York 1989, p.99.

99.        Time evolution of angular photon correlations(with Z.Bialynicka-Birula), Acta Physica Polonica A 78, 67 (1990).

100.    Angular correlations of photons (with Z.Bialynicka-Birula), Physical Review A 42, 2829 (1990).

101.    Spatial antibunching of photons (with Z.Bialynicka-Birula and G.M.Salamone), Physical Review A 43, 3696 (1991).

102.    Phase-space structure of the Dirac vacuum (with J.Rafelski and P.Gornicki), Physical Review D 44, 1825 (1991).

103.    Quantum Mechanics as a Generalization of Nambu Dynamics to the Weyl-Wigner representation (with P.J.Morrison), Physics Letters A 158, 453 (1991).

104.    Field theory of photon dust, Acta Physica Polonica B 23, 553 (1992).

105.    Wigner function of relativistic spin-1/2 particles (with G.R.Shin and J.Rafelski), Physical Review A 46, 645 (1992).

106.    Evolution modes of the vacuum Wigner function in strong-field QED (with E.D.Davis and J.Rafelski), Physics Letters B 311, 329 (1993).

107.    Simple relativistic model of a finite-size particle, Physics Letters A 182, 346 (1993).

108.    Various measures of quantum phase uncertainty: A comparative study (with M.Freyberger and W.Schleich), Physica Scripta T 48, 113 (1993).

109.    On the wave function of the photon, Acta Physica Polonica A 86, 97 (1994).

110.    Is time sharp or diffused?, in Physical Origins of Time Asymmetry, Eds. J. J. Halliwell, J. Peres-Mercader, and W. H. Zurek, Cambridge University Press 1994, p. 274.

111.    Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata, Physical Review D 49, 6920 (1994).

112.    Reconstruction of the wave function from the photon number and quantum phase distributions (with Z. Bialynicka-Birula), Journal of Modern Optics 41, 2203 (1994).

113.    Lagrange equilibrium points in celestial mechanics and nonspreading wave packets for strongly driven Rydberg electrons (with M. Kalinski and J. H. Eberly), Physical Review Letters 73, 1777 (1994).

114.    On the measurability of quantum phase distribution (with Z. Bialynicka-Birula), Journal of Applied Physics B 60, 275 (1995).

115.    Dynamical localization: Classical vs quantum oscillations in momentum spread of cold atoms, (with P.J. Bardroff, D.D.Kraehmer, G.Kurizki, E.Mayr, P.Stifter, and W.P.Schleich), Physical Review Letters 74, 3959 (1995).

116.    Reply to Comment by Farrelly, Lee, and Uzer, Physical Review Letters 75, 973 (1995).

117.    Numerical observation of stable field-supported Rydberg wave packets (with M.Kalinski and J.H.Eberly), Phys. Rev. A 52, 2460 (1995).

118.    Hydrodynamic form of the Weyl equation, Acta Physica Polonica B 26, 1201 (1995).

119.    Finite nonperturbative solutions of Dyson-Schwinger equations in QED in the infrared domain (with T. Radozycki), Physical Review D 52, 2439 (1995).

120.    The photon wave function, in Coherence and Quantum Optics VII, Eds. J.H.Eberly, L.Mandel, and E.Wolf, Plenum, New York 1996, p. 313.

121.    Triumphs and failures of quantum electrodynamics, Acta Physica Polonica B 27, 2403 (1996).

122.    Photon wave function, in Progress in Optics, Vol. 36, Ed. E. Wolf, Elsevier, Amsterdam 1996, p.245.

123.    Nonspreading wave packets of Rydberg electrons in molecules with dipole moments (with Z.Bialynicka-Birula), Physical Review Letters 77, 4298 (1996).

124.    Hydrodynamics of relativistic probability flows, in Nonlinear Dynamics, Chaotic and Complex Systems, Eds. E. Infeld, R. Zelazny, and A. Galkowski, p. 64, Cambridge University Press, Cambridge 1997, p. 64.

125.    Quantum mechanics as a generalization of Nambu dynamics to the Weyl-Wigner formalism (with P.J.Morrison), Zeitschrift fuer Naturforschung 52a, 9 (1997).

126.    Rotational frequency shift (with Z.Bialynicka-Birula), Physical Review Letters 78, 2539 (1997).

127.    Radiative decay of Trojan wave packets (with Z.Bialynicka-Birula), Physical Review A, 56, 3623 (1997).

128.    Quantum carpets made simple (with Marzoli, F. Saif, O. M. Friesch, A. E. Kaplan, and W. P. Schleich), acta physica slovaca 48, 323 (1998).

129.    Exponential localization of photons, Physical Review Letters 80, 5247 (1998).

130.    Propagation of squeezing of the electromagnetic field, in Frontier Tests of QED and Physics of the Vacuum, Eds. E. Zavattini, D. Bakalov, and C. Rizzo, Heron Publishers, Sofia 1998.

131.    Nonstandard introduction to squeezing of the electromagnetic field, Acta Phys. Polonica B 29, 3569 (1998).

132.    The Fermi accelerator in atom optics(with F. Saif, M. Fortunato, and W. P. Schleich), Physical Review A 61, 58 (1998).

133.    The particle in the box: Intermediate traces of the propagator (with I. Marzoli, O. M. Friesch, A. E. Kaplan, and W. P. Schleich), in Nonlinear Dynamics and Computational Physics, Ed. V. B. Sheorey, Narosa Publishing House, New Delhi 1999, p. 135.

134.    Born-Infeld nonlinear electrodynamics, Acta Physica Polonica B 30, 2875 (1999).

135.    Motion of vortex lines in quantum mechanics (with Z. Bialynicka-Birula and C. Sliwa), Physical Review A 61, 032110 (2000).

136.    The Wigner functional of the electromagnetic field, Optics Communications 179, 237 (2000).

137.    Time evolution of quantum fractals (with D. Wojcik and K. Zyczkowski), Phys. Rev. Lett. 85, 5022 (2000).

138.    Squeezing of electromagnetic field in a cavity by electrons in Trojan states (with P. Kochanski and Z. Bialynicka-Birula), Phys. Rev. A63, 013811 (2001).

139.    Canonical quantization and the relativistic wave equations,in Quantization, Gauge Theory, and Strings, Vol. II, Eds. A. Semikhatov, M. Vasiliev, and V. Zaikin, Scientific World, 2001, p. 9.

140.    Lessons on time and causality from quantum field theory, in Time's Arrows, Quantum Measurement and Superluminal Behavior, Conference Proceedings, Napoli 2000, Istituto Italiano per gli Studi Filosofici, Napoli 2001.

141.    Vortex lines in motion (with T. Mloduchowski, T. Radozycki and C. Sliwa), Acta Phys. Polon. 100, 29 (2001) (Supplement).

142.    Motion of vortex lines in a model of nonlinear wave mechanics (with Z. Bialynicka-Birula), Phys. Rev. A 65, 014101 (2002).

143.    Quantum ficticious forces (with M. A. Cirone, J. P. Dahl, T. H. Seligman, F. Straub, and W. P. Schleich), Fortschr. Phys. 50, 599 (2002).

144.    Attractive and repulsive quantum forces from dimensionality of space (with M. A. Cirone, J. P. Dahl, R. F. O'Connell, and W. P. Schleich), J. of Optics B 4, S393 (2002).

145.    In- and outbound spreading of a free-particle s-wave (with M. A. Cirone, J. P. Dahl, M. Fedorov, and W. P. Schleich), Phys. Rev. Lett 89, 060404 (2002).

146.    Motion of the center of mass in many-body theory of BEC (with Z. Bialynicka-Birula), Phys. Rev. A65, 063606 (2002).

147.    Canonical quantization, twistors, and relativistic wave equations J. Mod. Opt. 49, 1957 (2002).

148.    Vortex lines of the electromagnetic field Phys. Rev. A67, 062114 (2003).

149.    QED: Quantum Theory of the Electromagnetic Field (with Z.Bialynicka-Birula), Encyclopedia of Modern Optics, to be published.

150.    Electromagnetic vortex lines riding atop null solutions of Maxwell equations, Journal of Optics A: , Pure Appl. Opt. 6, S181 (2004).

151.    Particle beams guided by electromagnetic vortices: New solutions of the Lorentz, Schroedinger, Klein-Gordon and Dirac equations, Physical Review Letters, 93, 020402 (2004).

152.    Solutions of the logarithmic Schroedinger equation in a rotating harmonic trap (with T. Sowinski), to be published.

153.    The structure of the vacuum and the photon number, in Decoherence and Entropy in Complex Systems, Ed. H.-T. Elze, Springer, Berlin, 2004, p. 287.

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