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# Vladimir Gasparyan, PhD

## Professor of Physics

Science III, 306

Department of Physics and Engineering

California State University, Bakersfield

Bakersfield, CA 93311

vgasparyan@csub.edu

661-654-2693

# Publications

(click title to read publication pdf)

**113**. Peng Guo, Vladimir Gasparian, Antonio Pérez-Garrido and Esther Jódar. "Tunneling time in coupled-channel systems" Phys. Rev. Research, ** 6**, 043032 (2024)

**112**.Peng Guo, and Vladimir Gasparian "Extracting scattering phase shift from integrated correlation function" Phys. Rev. D. **108**, 074504 (2023).

**111.** Vladimir Gasparian, Peng Guo, Antonio Perez-Garrido and Esther Jódar "Tunneling Time and Faraday/Kerr effects in PT -symmetric systems", Europhysics Letters, **143**, 66001 (2023).

**110.** Gagik Ayvazyan, Ferdinand Gasparyan and Vladimir Gasparian, "Optical simulation and experimental investigation of the crystalline silicon/black silicon/perovskite tandem structures", Optical Materials **140** (2023) 113879.

**109.** Antonio Perez-Garrido, Peng Guo , Vladimir Gasparian , and Esther Jódar, "Polar magneto-optic Kerr and Faraday effects in finite periodic PT -symmetric systems", Physical Review A **107**, 053504 (2023).

**108.** Peng Guo, Vladimir Gasparian, Esther Jódar and Christopher Wisehart, "Tunneling Time in PT -symmetric system", Physical Review A **107**, 032210 (2023).

**107.** Vladimir Gasparian, Peng Guo and Esther Jódar, "Anomalous Faraday effect in a PT -symmetric dielectric slab", Physics Letters A **453**, 128473 (2022).

**106.** Peng Guo and Vladimir Gasparian, "Charged particles interaction in both a finite volume and a uniform magnetic field", II. Topological and analytic properties of a magnetic system, J. Phys. A: Math. Theor. **55**, 265201 (2022).

**105.** Peng Guo and Vladimir Gasparian, "The Friedel Formula and Krein's Theorem in the Complex Theory of Potential Scattering", Physical Review Research **4**, 023083 (2022).

**104.** Peng Guo and Vladimir Gasparian, "Charged particles interaction in both a finite volume and a uniform magnetic field", Phys. Rev. D **103**, 094520 (2021).

**103.** Josh Lofy, Vladimir Gasparian, Zhyrair Gevorkian, and Esther Jódar, "Faraday and Kerr Effects in Right and Left-Handed Films and Layered Materials", Rev. Adv. Mater. Sci.; **59**: 243, (2020).

**102.** Zh. Gevorkian, V. Gasparian, and E. Cuevas, "Straightening of light in a one dimensional dilute photonic crystal", Scientific Reports (2019) 9: 14053 //DOI:10.1038/s41598-019-150590-6

**101.** Peng Guo and Vladimir Gasparian, "Transmission coefficient of interacting few-body system in one dimensional space", Phys. Lett A **383**, 305-309, (2019).

**100.** Peng Guo and Vladimir Gasparian, "Numerical approach for finite three-body interaction", Phys. Rev. D **97**, 014504 (2018).

**99.** Zh. Gevorkian, V. Gasparian and J. Lofy, "Time Dependent Faraday Rotation", Laser Physcs, **28**, 016001 (2018).

**98.** Zh. Gevorkian, A. Hakhoumian, V. Gasparian, and E. Cuevas , "Capsize of polarization in dilute photonic crystals", Scientific Reports | 7: 16593 | DOI:10.1038/s41598-017-16847-8

**97.** Peng Guo and Vladimir Gasparian, "A solvable three-body model in finite volume", Physics Letters B **774**, 441 (2017)

**96.** O. del Barco, E. Conejero Jarque, V. Gasparian and J. M. Bueno, "Omnidirectional high-reflectivity mirror in the 4-20*μ*m spectral range", Journal of Optics **19** 065102 (2017)

**95.** Zh. Gevorkian, V. Gasparian, and E. Cuevas , "Bloch states in light transport through a perforated metal", EPL, **11**, 64003 (2016)

**94.** Zh. Gevorkian, V. Gasparian, and Yu. Lozovik , "Large diffusion lengths of excitons in perovskite and TiO2 heterojunction", Appl. Phys. Lett. **108**, 051109 (2016)

**93.** A. M. Somoza, M. Ortuno, V. Gasparian, and M. Pino, "Green functions of interacting systems in the strongly localized regime", Journal of Physics: Condensed Matter, **27**, 335503 (2015)

**92.** O. del Barco, V. Gasparian, and Zh. Gevorkian, "Localization-length calculations for alternating metamaterial-birefringent disordered layered stacks", Phys Rev. A **91**, 063822, (2015)

**91.** Zhyrair Gevorkian and Vladimir Gasparian, "Plasmon-enhanced Faraday rotation in thin films", Phys Rev. A **89**, 023830, (2014)

**90.** Zh. S. Gevorkian and V. Gasparian, "Inverse Smith‐Purcell effect near rough Surfaces", J. Phys. B: At. Mol. Opt. Phys. **46**, 185401, (2013)

**89.** Vladimir Gasparian, Zhyrair Gevorkian, and Oscar del Barco, "Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations", Phys Rev. A **88**, 023842, (2013)

**88.** V. Gasparian and Zh.S. Gevorkian, "Faraday Rotation in a Disordered Medium", Phys Rev. A **87**, 053807, (2013)

**87.** V. Gasparian and E. Cuevas, "Localization length in the quasi one-dimensional disordered system revisited", Solid State Commun, **164**, 11-15, (2013)

**86.** J. Wan, W. Liu, and M. Cahay, V. Gasparian, snd S. Bandyopadhyay., "The effective spin concept to analyze coherent charge transport in mesoscopic systems", Am. J. Phys. **79**,164- 171 ( 2011).

**85.** V. Gasparian, M. Cahay, and E. Jodar., "Localization length in a quasi-one-dimensional disordered system in the presence of an electric field", Journal of Physics: Condensed Matter, **23**, 045301 (2011).

**84.** O. del Barco and V. Gasparian, "Relativistic tunnelling time for electronic wave packets", J. Phys. A: Math. Theor., **44**, 015303 (2011).

**83.** W. Liu, J.Wan, M.Cahay, V. Gasparian and S.Bandyopadhyay, "Properties of the Shannon entropy of arrays of elastics scatterers", Physica E, **42**, 1520-1530, (2010).

**82.** V. Gasparian and A. Suzuki, "Localization length in two-dimensional disordered systems: effects of evanescent modes", J. Phys.: Condens. Matter **21**, 405302 (2009).

**81.** V. Gasparian, D. Badalian and E. Jo´ dar, "One-dimensional disordered magnetic Ising systems: A new approach", Phys. Status Solidi B **246**, 2159 (2009).

**80.** P. Devillard, V. Gasparian, and T. Martin, "Charge pumping and noise in a one-dimensional wire with weak electron-electron interaction", Phys. Rev. B, **78**, 085130 (2008).

**79.** V. Gasparian, "Determinant Approach to the Scattering Matrix Elements in Quasi-one, and two Dimensional Disordered Systems", Phys. Rev. B, **77**, 113105 (2008).

**78.** J. Ruiz, E. Jódar, and V. Gasparian, "Global Partial Density of States: Statistics, and Localization Length in Quasi-one Dimensional disordered systems", Phys. Rev. B, **75**, 235123 (2007).

**77.** Oscar del Barco, M. Ortuño, and V. Gasparian, "Tunneling-time calculations for general finite wave packets based on the presence-time formalism", Phys. Rev A: **74**, 032104 (2006).

**76.** V. Gasparian, B. Altshuler, and M. Ortuño, "Pumping Charge in one dimensional Kronig-Penney like models", Phys. Rev. B, **72**, 195309 (2005).

**75.** V. Gasparian, M. Ortuño, and O. Barco, "Electronic Tunnelling Time in Nanostructures", in "Encyclopedia of Nanoscience, and Nanotechnology", (Edited by H.S. Nalwa), vol. 3, p.**193** (2003).

**74.** E. Cuevas, M. Ortuño, V. Gasparian, and A. Perez-Garrido, "Fluctuations of the correlation dimension at metal-insulator transitions", Phys. Rev. Lett., **88**, 016401 (2002).

**73.** E. Cuevas, V. Gasparian, and M. Ortuño, "Anomalously large critical regions in power-law r,andom matric ensembles", Phys. Rev. Lett. **87**, 056601 (2001).

**72.** V. Gasparian, and M. Ortuño, "Green's function formulation of the traversal time, and nature of the complex time". Philos. Mag. B, 81, **1191** (2001).

**71.** V. Gasparian, Comment on "On the problem of an electron scattering in an arbitrary 1D potential field" Phys. Lett. A, 275, **493-494** (2000).

**70.** U. Simon ,and V. Gasparian,"1D conductance in Cetineites: A new Class of Chemically Synthesised Nanoporous Semiconductors", Physica Status Solidi, (b), 218, **151-154** (2000).

**69.** V. Gasparian, and J.A. Lopez Villanueva, "The escaping of an electron from one-dimensional disordered system": Physica Status Solidi, (b), 218, **299-302** (2000).

**68.** J.A. Lopez Villanueva, and V. Gasparian, "Local Larmor clock approach to the escape time", Phys. Letter. A, vol. 260/3-4, **286-293** (1999).

**67.** V. Gasparian, M. Ortuño, G. Schön, and U.Simon, "Tunneling Time in Nanostructures Handbook of Nanostructured Materials, and Nanotechnology" (H.S. Nalwa, ed.), vol. 2, Chapter 11, p. **513-569**, Academic Press, San Diego (1999).

**66.** P. Carpena, V. Gasparian, and M. Ortuño, "Number of bound states of a Kronin-Penney finite-periodic superlattice", The European Physical Joural B. 8, **635-641** (1999).

**65.** V. Gasparian, G. Schön, J.Ruiz, and M. Ortuño, "Kramers-Kronig relations, and the barrier interaction time problem", Eur. Phys. J. B. 9, **283-287** (1999).

**64.** V. Gasparian, G. Schön, J.Ruiz, and M. Ortuño, "On the application of the Kramers-Kronig relations to the interaction time problem", Ann. Der Physik, 7, No. 7-8, **756-763** (1998).

**63.** P. Carpena, V. Gasparian, and M. Ortuño, "The electronic spectrum of quantum delta--wells in superlattices in an electric field", Phys. Rev. B 56, 23, **14929-14932** (1997).

**62.** P. Carpena, J.A. Lopez Villanueva, and V. Gasparian. "Energy dependence of the effective mass in the envelope function approximation", Physica B 233/1, **72 - 77** (1997).

**61.** U. Simon, and V. Gasparian. "A theoretical consideration of disorder in finite one-imensional metal cluster in a nanoporous solid". Proc. YII Int. Conf. on Hopping, and Related Phenomena, Special issue of Phys. Stat. Solidi (1998).

**60.** V. Gasparian, "Büttiker - Landauer tunneling time in one - dimensional disordered system", Superlattices, and Microstructures: Spesial issue in honor of Rolf Landauer on the occassion of his 70^{th} birthday; 27, No. 3/4, **809-821** (1998).

**59.** V. Gasparian, and U. Simon, "Potential distribution in an one - dimensional array of finite number of arbitrary mesoscopic tunnel junctions", Physica B, 240, **289-297** (1997).

**58.** P. Carpena, V. Gasparian, and M. Ortuño, "Finite periodic and qausiperiodic systems in an electric field", Z. Fur Physik B, **425431**, (1997).

**57.** D. Sedrakyan, D. Badalyan, V. Gasparyan, and A. Khachatryan " The L,andauer resistance of a one--dimensional metal with periodically spaced r,andom impurities" J. Experimantal ,and theoretical Physics, 84, Iss. 2, **317- 321**, (1997) (Sov. Phys. JETF; 111, no. 2, 575, (1997)).

**56.** R. Pelster, V. Gasparian, and G. Nimtz, "Propagation of plane waves ,and waveguide modes in quasiperiodic dielectric heterostructures", Phys. Rev. E, 55, No. 6, **p. 7645** (1997).

**55.** J. Ruiz, M. Ortuño , E. Cuevas, ,and V. Gasparian, "Traversal time as a function of the size of the wavepacket " J. Phys. I (France), vol. 7, **p. 653 - 661** (1997).

**54.** P. Carpena, V. Gasparian, and M. Ortuño, " Finite periodic ,and quasiperiodic systems with external electric field". Z. Phys. B 102, No. 3, p. 425 (1997).

**53.** V. Gasparian, Ute Gummich, E. Jodar, J. Ruiz, and M. Ortuño, "Dwell, and Tunneling Time for One-Dimensional Generalized Kroning Penney model". Physica B 233/1, **72 - 77** (1997).

**52.** D. Badalian, V. Gasparian, R. Abramian, A. Khacahatrian, and Ute Gummich, "On the thermodynamics of classical spins with isotrop Heisenberg interaction in one-dimensional quasiperiodic structures". Physica B 226; **385 - 390** (1996).

**51.** V. Gasparian, T. Christen, and M. Buttiker, "Partial Density of States, Scattering Matrices, and Green's Functions", Phys. Rev. A 54, No. 5, **4022 - 4031** (1996).

**50.** V. Gasparian, J. Ruiz, M. Ortuño, and E. Cuevas, "Brewster anomaly in Fibonacci ,and Thue-Morse Dielectric multylayers", Electromagnetics; v. 16, **313 - 322** (1996).

**49.** V. Gasparian, E. Louis, and J.A. Verges, " Dimensional effects in photoelectron spectra of Ag deposits on the GaAs (110) surfaces", Phys. Rev. B; 53, **6967** (1996).

**48.** D. Badalian, V. Gasparian, A. Khachatrian, M. Ortuño, J. Ruiz, and E. Cuevas, "On the statistics of binary alloys in one-dimensional quasiperiodic lattices", Physica B 127; **127-132** (1996).

**47.** D. Sedrakian, D. Badalian, V. Gasparian, and A. Khachatrian, "Resistance's distribution function of a one-dimensional chain of periodically arranged random delta--scatterers II". Proceeding of National Academy of Scinces of Armenia, Physics (in Russian), 31, **No.1. 13-22** (1996).

**46.** D. Sedrakian, D. Badalian, V. Gasparian, and A. Khachatrian, "Resistance's distribution function of a one - dimensional chain of periodically arranged random delta - scatterers" I. Proceeding of National Academy of Scinces of Armenia, Physics (in Russian), 31, **No. 1. 3-12** (1996).

**45.** D. Sedrakyan, D. Badalyan, V. Gasparyan, and A. Khachatryan, "The resistance of a one--dimensional periodically spaced random scatterers" Sov. Phys. JETF; 109, no. 1, **129 - 141** (1996).

**44.** V. Gasparian, M. Ortuño, J. Ruiz, and E. Cuevas, "The Dwell Time for an Asymmetric One - Dimensional Potential Barrier", Solid St. Commun; 97; no. 9, **791 - 793** (1996).

**43.** E. Cuevas, V. Gasparian, J. Ruiz, and M. Ortuño, "Traversal time in periodically loaded waveguides", Z. Phys. B 100, **595 - 599** (1996).

**42.** D. Badalian, V. Gasparian, and A. Khachatrian, "Theory of binary alloys in one-dimensional Fibonacci structuras" Proceeding of National Academy of Scinces of Armenia, Physics (in Russian), 29, No. 6. **207 - 217 (1995)**.

**41.** M. Ortuño, E. Cuevas, J. Ruiz, V. Gasparian, and M. Pollak, "Conductivity in the Coulomb gap at very low temperatures", XXII ICPS, World Scientific Publishing; vol. 1, **41 - 44** (1995).

**40.** V. Gasparian, M. Ortuño, J. Ruiz, and E. Cuevas, "Faraday rotation ,and complex-valued traversal time for classical light waves", Phys. Rev. Lett.; 75; **2312** (1995).

**39.** V. Gasparian, M. Ortuño, J. Ruiz, E. Cuevas, and M. Pollak, "Tunneling time for one-dimensional systems" Phys. Rev. B; 51; no. 10, 6743 - 6746 **(1995)**.

**38.** P. Carpena, V. Gasparian, and M. Ortuño, "Energy spectrum, and level statistic of Fibonacci, and Thue-Morse chains", Phys. Rev. B; 51; no. 18, **12813 - 12816** (1995).

**37.** J. Ruiz, M. Ortuño, E. Cuevas, V. Gasparian, and M. Pollak, "Monte Carlo simulation of hopping conduction in the Coulomb glass", J. Phys.: Condens. Matter; 7 ; **639 - 644** (1995).

**36.** J.R. Barker, S. Brouard, V. Gasparian, G. Iannaccone, A.P. Jauho, C.R. Leavens, J.G. Muga, R. Sala, and D. Sokolovski, " First European Workshop on Tunneling Times; Report submitted by C.R. Leavens, " PHANTOMS Newsletter Nr. 7, **5 -11**; (October, 1994).

**35.** E. Cuevas, M. Ortuño, J. Ruiz, V. Gasparian, and M. Pollak, "Electrode screening of the Coulomb gap", Philos. Mag. B; 70; no. 6, **1231-1235** (1994).

**34.** V.M. Gasparian, and A.J. Khachatrian, "Resistance of a one--dimensional finite chain of periodically arranged random scatteres" Solid St. Commun; 85; no.12, **1061-1064** (1993).

**33.** V.M. Gasparian, and M. Pollak, " Buttiker--Landauer characteristic barrier--interaction times for one--dimensional random layered systems", Phys. Rev.; B 47; no.4, **2038 - 2041** (1993).

**32.** V.M. Gasparian, and Z.H. Kasamanian, "Trancparency of one-dimensional limitid system in exactly solvable random field model in electric field", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Acad. Nauk Armenii, Fizika (in Russian); 27; no.4, **35 - 43**, (1992).

**31.** V.M. Gasparian, and A.J. Khachatrian, "Trancparency of the one--dimensional chain with the random scatteres", Proc. Regional Conf. On Mathematics, and Theoretical Physics; Tabriz, **Iran 12 - 15** (1992).

**30.** R.P. Babertsian, D.H. Badalian, and V.M. Gasparian, "Not collisional movement of ions in high - voltage Penning discharge", Reports Nat. Academy of Armenia (in Russian); 93; no. 2, **73 - 76** (1992).

**29.** A.G. Aronov, V.M. Gasparian, and Ute Gummich, "Transmission of waves through one--dimensional random layered systems" J. Phys. Condens. Matter; 3; **3023 - 3039** (1991).

**28.** A.G. Aronov, and V.M. Gasparian, "Brewster anomaly, and transmission of light through one--dimensional random layered system" Solid St. Commun. 73; no.1, **61 - 64** (1990).

**27.** V.M. Gasparian, and I.X. Jarekeshev, "Transparency of one – dimensional systems with arbitrary disorder in electric field", Sov. Phys. Solid State; 36; no. 2, 264 - 272 (1990); Fiz. tverd. tela; 32 ; no. 2, **367 – 375** (1990).

**26.** A.G. Aronov, V.M. Gasparian, and Ute Gummich "Quantenmechanische Transmission durch ein - dimensionales stochastisches Potential" Jahresherichte der PTB 1990: wiss. Kurzberichte (1991).

**25.** R.P. Babertsian, D.H. Badalian, and V.M. Gasparian, "The movement of ions in the stationary high--voltage Penning ion source", Reports Nat. Academy of Armenia (in Russian); 89 ; no. 2, **75 - 79** (1989).

**24.** V.M. Gasparian, "Transmission coefficient of electrons through one - dimensional arbitrary potential", Sov. Phys. Solid State; 31; no. 2, 266 - 275 (1989); Fiz. tverd. tela; 31; no. 2, **162 - 171** (1989).

**23.** V.M. Gasparian, and I.X. Jarekeshev, "Local density of states of disordered systems in electric field" Proc. XIY USSR Conf. Theory of Semiconductors, Donetsk; **182** (1989).

**22.** V.M. Gasparian, and I.X. Jarekeshev, " Resistance of one – dimensional disordered systems in electric field" Proc. XIY USSR Conf. Theory of Semiconductors, Donetsk; **14** (1989).

**21.** V.M. Gasparian, and Z.H. Kasamanian "Quantum correction to conductivity in disordered superlattice" Sov. Phys. Solid State; 30; no. 5, 816 - 819 (1988); Fiz. tverd. tela; 30 ; no.2, **162 - 171** (1989).

**20.** V.M. Gasparian, B.L. Altshuller, A.G. Aronov, and Z.H. Kasamanian, "Resistance of one - dimensional chains in Kronig - Penny-like models" Physics Letters ; A 132 ; no. 4, **201 - 205** (1988).

**19.** V.M. Gasparian, B.L. Altshuller, and A.G. Aronov, " Influence of surface proporties on weak localization effects in disordered metal films" Proc. III Int. Conf. Physics of Solid Surfaces, Bechina, CSSR; **277-280** (1987).

**18.** V.M. Gasparian, B.L. Altshuler, and A.G. Aronov " Influence of relaxation of phase on weak localization effects" Proc. XIII USSR Conf. Theory of Semiconductors. Yerevan; **86 - 89** (1987).

**17.** V.M. Gasparian, B.L. Altshuler, and A.G. Aronov "Surface relaxation of phase, and weak localization effects" Sov. Phys. Solid State; 29; no. 9, 2671 - 2678 (1987); Fiz.Tverd. Tela; 29; no. 9, **2671 - 2678** (1987).

**16.** V.M. Gasparian, "Weak localization effects in metal layered structures". Sov. J. Low Temp. Phys.; 13 ; no.12, 727 - 730 (1987); Fiz. Nizk.Temp.; 13; no.12, **1293 -1295** (1987).

**15.** V.M. Gasparian, "Anomalous magnetoresistance of semiconductor films with an arbitrary thickness". Solid St. Commun; 58; no.11, **783 – 784** (1986).

**14.** V.M. Gasparian, and Z.H. Kasamanian "On the distribution of surface states at random boundary conditions in the electric field", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Acad. Nauk. Arm. SSR. Ser. fiz. (in Russian); 20; no. 5, **53 - 61** (1986).

**13.** Z.H. Kasamanian, and V.M. Gasparian, "Cyclotron resonance near tunnel--thin potential barrier in semiconductor in a longitudinal magnetic field", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Acad. Nauk. Arm. SSR. Ser. fiz. (in Russian); 21; no.4, **221 - 223** (1986).

**12.** Z.H. Kasamanian, V.M. Gasparian, and E.S. Yuzbashian, "Oscillatory current along a tunnel--thin potential barrier in magnetic field" Phys. Stat. Sol. (b); 130; **K149 - K152** (1985).

**11.** V.M. Gasparian, and A.Yu. Zuzin "On the field dependence of anomalous magnetoresistance" Sov. Phys. Solid State; 27; no. 6, 999 –1007 (1985); Fiz. tverd. tela.; 27 ; no. 6, **1662 - 1666** (1985).

**10.** G.S. Mkrtchian, V.M. Gasparian, and K. Shahabazian, "Magnetic moments of pulsars: about one exact solvable model", Uchonyie Zapiski Yerevanskogo Universiteta (in Russian); 143; no.1, **53-55** (1982).

**9.** Z.H. Kasamanian ,and V.M. Gasparian, "Transverse effective mass of surface subb, and in narrow gap semiconductors", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Acad. Nauk Arm. SSR, Ser. fiz. (in Russian); 16 ; no. 5, **402 - 405** (1981).

**8.** V.M. Gasparian, and Z.H. Kasamanian "Energy spectrum of thin film heterostructure" Phys. St. Solidi (b); 98, **435 - 438** (1980).

**7.** V.M. Gasparian, Z.H. Kasamanian, and E.S. Yuzbashian "On Hall coefficient sign changes in the thin tilms of semimetals" Uchonyie Zapiski Yerevanskogo Universiteta (in Russian); 141; no.2, **153 -155** (1979).

**6.** Z.H. Kasamanian, V.M. Gasparian, and S.M. Movsisian "Energy spectrum of defects on one - dimensional periodic systems", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Akad. Nauk Arm. SSR, Ser. fiz. (in Russian); 14; no. 3, **185 -191** (1979).

**5.** Z.H. Kasamanian, V.M. Gasparian, and A.H. Vardanian "On the theory of electronic energy spectrum of thin quantized films", Journal of Contemporary Physics (Armenian Academy of Sciences); Izv. Acad. Nauk Arm. SSR, Ser. fiz. (in Russian); 14 ; no. 2, **107-114** (1979).

**4.** V.M. Gasparian, and Z.H. Kasamanian "Surface state in semiconductors in the presence of defects in structures" Institute of Radiophysics, and Electronics (in Russian); **1 - 25** (1979).

**3.** A.H. Vardanian, V.M. Gasparian, and Z.H. Kasamanian "On the distribution of surface, and film states in the semiconductors at random boundary conditions" Proc. IX USSR Conf. Theory of Semiconductors (in Russian), Tbilisi; **80-83** (1978).

**2.** V.M. Gasparian, and Z.H. Kasamanian "Green's function method in surface state theory" Proc. VI USSR Conf. Surface Physics Phenomena in Semiconductors (in Russian), Kiev; vol. 1, **73 - 77** (1977).

**1.** V.M. Gasparian, "Propagation of surface plasmons in a layered structure" Proc. III Young Research Workers of Armenia (in Russian), Yerevan; **11-18** (1975).