Physics

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2003-2010: Graduate School, Physics Department, UC Davis

Condensed matter, supervisor Professor R. T. Scalettar. Ph.D. in Physics.

1974-1976: Moscow State University, mechanical-mathematical department.

1980-1985: Dnepropetrovsk State University, diploma supervisor Professor N. V. Polyakov.

Master of Science (Equivalent) in Mathematics, with distinction (Cum Laude).

1963-1972: Perevalsk High School 1

Attestat, General education

I was lucky to have very good teachers:

Mathematics teacher Vera Nikitichna, PhD, and

Physics teacher Petr Vasilievich.

Thanks to them I got interested in Science. Participated in Physics and Mathematics Olympiads.

1971: Winner of Republican (Ukraine) Physics Olympiad, I degree

1971: Winner of All-Union (USSR) Physics Olympiad, I degree

1972: Winner of Republican (Ukraine) Physics Olympiad, III degree

1972: Winner of All-Union (USSR) Physics Olympiad, III degree

1972: Winner of Voroshilovgrad Oblast Mathematics Olympiad, II degree

Come to my Tutoring Site

*Lesson presentation of Integration by Parts*

*Introduction to Logarithms*

*Pythagorean Theorem*

*Beginning Algebra: Adding Fractions*

*Astronomy: Terrestrial and Jovian Planets*

*Example of Multiple Choice Questions Quiz*

*Example of Learning Script*

*Script for Learning Chinese Characters*

*A Brief Introduction:*

Sarka Hoskova-Mayerova and Zdena Rosicka**Programmed Learning**

Examples of Programmed Learning Lessons

*Calculus: Integration by Parts*

*Pre-Algebra: Usage of Percentage*

*Physics for Biology Majors: Bernoulli Equation*

*Jan 2005: What is Quantum Monte Carlo?*

*Dec 2005: Lanczos algorithm: Hard-core bosons in 1-D*

*Feb 2006: Thermodynamics of an incommensurate quantum crystal*

*May 2006: Finite size scaling: How-to Introduction using Ising model*

*Feb 2007: Introduction to Spin Hall Effect*

*May 2007: Quantum Computing with Optical Lattices*

*Dec 2007: Introduction to Luttinger Liquid*

*Feb 2008: De Haas-van Alphen Effect*

*Aug 2008: Infinite U Hubbard Model*

*Nov 2008: Fractional Quantum Hall Effect and Quantum Computer*

*Mar 2009: Hole Superconductivity Theory (Controversial theory by J. E. Hirsch*

*May 2009: Quantum Teleportation*

*Nov 2009: Quantum Cryptography*

*Jun 2014: Independent and Coupled Systems*

*On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n,*

Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1603.00080 (2016).

*On a floor equation,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*The series that Ramanujan misunderstood,*

Geoffrey B. Campbell and Aleksander Zujev, submitted to the Bulletin of the Australian Mathematical Society.

*Some almost partition theoretic identities,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Some left nested radicals,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*On integer solutions to a^2 + b^3 + c^4 = d^5,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Some equations with features of digit reversal and powers,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Product of digits of a cube, itself a cube,*

Geoffrey B. Campbell and Aleksander Zujev, work in progress.

*Diophantine solutions to a^3 + b^3 + c^3 = d^5 + 1,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Integer solutions for a^2/1 + (a+1)^2/2 + ... = b^2,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*On integer solutions to a^6 + b^6 = c^6 + d^6,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*On integer solutions to w^5 + x^5 = y^5 + z^3,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Some Diophantine equations with small integer solutions,*

Geoffrey B. Campbell and Aleksander Zujev, to be submitted.

*Gaussian integer solutions for the fifth power taxicab number problem,*

Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.07424 (2015).

*Variations on Ramanujan's nested radicals,*

Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.06865 (2015).

*A Diophantine sum with factorials,*

Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1510.03056 (2015).

*About one numerical scheme of solution of boundary problems for biharmonic equations*,

N. V. Polyakov, A. S. Zujev, Depository of VINITI (1985, admitted 1986) (in Russian).

*Pairing Correlations in the two-layer attractive Hubbard Model,*

Aleksander Zujev, Richard T. Scalettar, George G. Batrouni, Pinaki Sengupta, New Journal of Physics 16 (2014) 013004.

*Induced magnetism vs. Kondo screening in alternating Mott-metal layers,*

Aleksander Zujev and Pinaki Sengupta, Phys. Rev. B 88, 094415 (2013).

*Isentropic curves at magnetic phase transitions,*

J. D. Cone, A. Zujev, and R. T. Scalettar, Phys. Rev. B 83, 045108 (2011).

*Superfluid and Mott-insulator phases of one-dimensional Bose-Fermi mixtures,*

A. Zujev, A. Baldwin, R. T. Scalettar, V. G. Rousseau, P. J. Denteneer, and M. Rigol, Phys. Rev. A 78, 033619 (2008).

*Monte Carlo simulations of the superfluid phase transition in an extended Feynman-Kikuchi model,*

A. Zujev and R. T. Scalettar, Phys. Rev. B 76, 174524 (2007).

*Note on Non-Unitary Quantum Gates in Quantum Computing,*

Aleksander Zujev, Research paper