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BRANKO DRAGOVICH

Irina Ya. Aref ’eva, Goran S. Đorđević, Andrei Yu. Khrennikov, Sergei V. Kozyrev, Zoran Rakic, Igor V. Volovich

DOI Number
10.2298/FUPCT1603135A
First page
135
Last page
141

Abstract

We present a brief biography and a brief review of the scientific work of Branko Dragovich on the occasion of his 70th birthday on March 11, 2015.

Keywords

Branko Dragovich, theoretical physics, modern mathematical physics, p-adic mathematical physics, p-adic analysis, p-adic genetic code, adelic models, ultrametrics

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References

I. V. Volovich: p-Adic string. Class. Quant. Grav. 4, L83–L87 (1987).

L. Brekke and P. G. O. Freund: p-Adic numbers in physics. Phys. Rep. 233, 1–66 (1993).

V. S. Vladimirov, I. V. Volovich and E. I. Zelenov: p-Adic Analysis and Mathematical Physics. World Sci. Publ., Singapore, 1994.

A. Khrennikov: Information Dynamics in Cognitive, Psychological, Social and Anomalous Phenomena. Kluwer Acad. Publishers, Dordrecht, 2004.

A. Yu. Khrennikov and M. Nilsson: p-Adic Deterministic and Random Dynamics. Kluwer Acad. Publishers, Dordrecht, 2004.

B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev and I. V. Volovich: On p-adic mathematical physics. p-Adic Numbers Ultrametric Anal. Appl. 1 (1), 1–17 (2009) [arXiv:0904.4205 [math-ph]].

I. Ya. Aref’eva, B. G. Dragovic and I. V. Volovich: On the adelic string amplitudes. Phys. Lett. B 209, 445–450 (1988).

I. Ya. Aref’eva, B. G. Dragovic and I. V. Volovich: Open and closed p-adic strings and quadratic extensions of number fields. Phys. Lett. B 212, 283–291 (1988).

I. Ya. Aref’eva, B. G. Dragovic and I. V. Volovich: p-Adic superstrings. Phys. Lett. B 214, 339–349 (1988).

B. Dragovich: Zeta strings. In Proc. SQS’07, Dubna, Russia (2007) [arXiv:hep-th/0703008].

B. Dragovich: Zeta nonlocal scalar fields. Theor. Math. Phys. 157 (3), 1671–1677 (2008) [arXiv:0804.4114 [hep-th]].

I. Ya. Aref’eva, B. G. Dragovic and I. V. Volovich: On the p-adic summability of the anharmonic oscillator. Phys. Lett. B 200, 512–514 (1988).

B. G. Dragovic: p-Adic perturbation series and adelic summability. Phys. Lett. B 256 (3,4), 392–39 (1991).

B. G. Dragovic: Power series everywhere convergent on R and Qp. J. Math. Phys. 34 (3), 1143–1148 (1992) [arXiv:math-ph/0402037].

B. G. Dragovic: On p-adic aspects of some perturbation series. Theor. Math. Phys. 93 (2), 1225–1231 (1993).

B. G. Dragovic: Rational summation of p-adic series. Theor. Math. Phys. 100 (3),

–1064 (1994).

B. Dragovich and N. Z. Misic: p-Adic invariant summation of some p-adic functional series. p-Adic Numbers Ultrametric Anal. Appl. 6 (4), 275–283 (2014), [arXiv:1411.4195v1 [math.NT]].

B. Dragovich: Adelic model of harmonic oscillator. Theor. Math. Phys. 101, 1404–1412 (1994).

B. Dragovich: Adelic harmonic oscillator. Int. J. Mod. Phys. A 10, 2349–2365 (1995).

B. Dragovich, Ya. Radyno and A. Khrennikov: Distributions on adeles. J. Math. Sci. 142 (3), 2105–2112 (2007).

B. Dragovich: On generalized functions in adelic quantum mechanics. Integr. Transf. Spec. Func. 6, 197–203 (1998).

G. S. Djordjevic and B. Dragovich: p-Adic path integrals for quadratic actions. Mod. Phys. Lett. A 12, 1455–1463 (1997) [arXiv:math-ph/0005026].

G. S. Djordjevic, B. Dragovich and Lj. Nesic: Adelic path integrals for quadratic Lagrangians. Infin. Dim. Anal. Quant. Prob. Relat. Top. 6, 179–195 (2003) [arXiv:hep-th/0105030].

I. V. Volovich: Number theory as ultimate physical theory. p-Adic Numbers Ultra-metric Anal. Appl. 2 (1), 77–87 (2010).

G. S. Djordjevic and B. Dragovich: p-Adic and adelic harmonic oscillator with time-dependent frequency. Theor. Math. Phys. 124, 1059–1067 (2000) [arXiv:quant-ph/0005027].

G. S. Djordjevic, B. Dragovich and Lj. Nesic: p-Adic and adelic free relativistic particle. Mod. Phys. Lett. A 14, 317–325 (1999) [arXiv:hep-th/0005216].

I. Ya. Aref’eva, B. Dragovich, P. H. Frampton and I. V. Volovich: Wave function of the Universe and p-adic gravity. Int. J. Mod. Phys. A 6, 4341–4358 (1991).

B. Dragovich: Adelic wave function of the Universe. Proc. Third A. Friedmann Int. Seminar on Gravitation and Cosmology, pp. 311–321 (Friedman Laboratory Publish-ing, St. Petersburg, 1995).

G. S. Djordjevic, B. Dragovich, Lj. Nesic and I. V. Volovich: p-Adic and adelic minisuperspace quantum cosmology. Int. J. Mod. Phys. A 17, 1413–1434 (2002) [arXiv:gr-qc/0105050].

B. Dragovich and A. Yu. Dragovich: A p-adic model of DNA sequence and genetic code. p-Adic Numbers Ultrametric Anal. Appl. 1, 34–41 (2009) [arXiv:q-bio.GN/0607018].

B. Dragovich and A. Dragovich: p-Adic modelling of the genome and the genetic code. Computer J. 53 (4), 432–441 (2010) [arXiv:0707.30.43 [q-bio.OT]].

I. Ya. Aref’eva, B. G. Dragovic and I. V. Volovich. Extra time-like dimensions lead to a vanishing cosmological constant Phys. Lett. B 177, 357–360 (1986).

I. Ya. Aref’eva, I. V. Volovich, B. G. Dragovic: Spontaneous reduction in multidimensional (D=10, 11) supergravity theories with arbitrary signature. Theor. Math. Phys. 70 (3), 297–304 (1987).

B. G. Dragovic: On signature change in p-adic space-times. Mod. Phys. Lett. A 6, 2301–2307 (1991).

B. G. Dragovic, P. H. Frampton and B. V. Urošević: Classical p-adic space-time. Mod. Phys. Lett. A 5, 1521–1528 (1990).

B. Dragović and B. Sazdović: On the structure of ultraviolet divergences in the vacuum region of quantum electrodynamics. J. Phys. A: Math. Gen. 14, 915–920 (1981).

B. G. Dragovic, D. P. Mavlo and A. T. Filippov: Investigation of solutions of the Dyson-Schwinger equation for electron propagator in quantum electrodynamics. Fizika 10, 51–74 (1978).

B. Dragović: On dynamical mass generation in quantum electrodynamics. J. Phys. G: Nucl. Phys. 9, L1–L5 (1983).

B. Dragović and B. Sazdović: On the possibility of dynamical mass generation in axial electrodynamics. J. Phys. G: Nucl. Phys. 8, 1637–1640 (1982).

B. Dragovich and Z. Rakic: Path integrals in noncommutative quantum mechanics. Theor. Math. Phys. 140, 1299–1308 (2004) [hep-th/0309204].

B. Dragovich and M. Dugić: On decoherence in noncommutative plane with perpendicular magnetic field. J. Phys. A: Math. Gen. 38, 6603–6611 (2005).

B. Dragovich, A. Khrennikov and D. Mihajlović: Linear fractional p-adic and adelic dynamical systems. Rep. Math. Phys. 60 (1), 55–68 (2007).

B. Dragovich and A. Khrennikov: p-Adic and adelic superanalysis. Bulgarian J. Phys. 33 (s2), 159–173 (2006).

B. Dragovich and D. Joksimović: On possible uses of p-adic analysis in econometrics. Megatrend Rev. 4 (2), 5–16 (2007).

I. Dimitrijevic, B. Dragovich, J. Grujic and Z. Rakic: Some cosmological solutions in a nonlocal modified gravity. Filomat 29 (3), 619–628 (2013).

B. Dragovich: Towards p-adic matter in the Universe. Springer Proc. Math. Stat. 36, 13–24 (2013) [arXiv:1205.4409 [hep-th]].




DOI: http://dx.doi.org/10.2298/fu%20pct.v14i3.2572

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