### Recognition and Achievement Awards

- The first award for young researchers of the joint Institute for nuclear research (JINR) (1982) for the study "Relativistic effects in the Coulomb problem of three bodies".
- First premium of JINR (1987) for the study "a Method of solving the quantum mechanical three-particle problem and its application in muon-catalyzed fusion".
- Second premium of JINR (2012) for the research "Multichannel problems in low-dimensional physics of solids."
- Veteran of nuclear energy and industry (2010).
- Premium of the American physical society (2014) "Outstanding referee for the APS journals".

Invited scientist, free University of Brussels, Brussels, Belgium.

Received the title Professor in Mathematics.

Invited Professor, Department of Physics and Astronomy, California State University, Long Beach, USA.

Professor, Dubna State University, Dubna, Russia.

### Research

Vladimir Melezhik has calculated Atlas of the cross sections which is used for interpretation and planning of experiments in physics of muons.

Has developed an effective method of integration of time-dependent multidimensional schrödinger equation based on a combination of two-dimensional discrete variable representation and the component-component splitting method proposed by Academician G.I. Marchuk.

Has discovered the resonances caused by the confinement (2010), which allow you to control the interatomic interactions in quantum gases enclosed in the optical trap, together with experimentalists from the University of Innsbruck (Austria).

More than 115 scientific articles, based on the results of the researches, have been published (Hirsch index: 21 Scopus, 23 WoS).

Participation in international projects and grants:

- 2010-2017 scientific grants of program of the Heisenberg-Landau: two-channel multi-channel scattering in a closed geometry of harmonic waveguide (€ 29 150). Cooperation with Zentrum für Optische Quantentechnologien, University of Hamburg, Hamburg, Germany (PI: Prof. P. Schmelcher and V.S. Melezhik)
- 2012-2013 DFG Research Grant: Feshbach's Magnetic resonance in a closed geometry of atomic waveguides (€ 6900). Cooperation with Zentrum für Optische Quantentechnologien, University of Hamburg, Hamburg, Germany (PI: Prof. P. Schmelcher)
- 2014 the grant of the Russian Foundation for Basic Research: Theoretical study of atomic collisions in a closed geometry of optical traps (₽ 200 000). (PI: Prof. V.S. Melezhik)
- 2016 the grant of the Plenipotentiary Representative of the Republic of Kazakhstan to JINR: Theoretical study of dynamics of tunneling of ultracold atoms through the walls of anharmonic optical traps (13 000 долларов). Cooperation with Kazakh national University. Al-Farabi, Almaty, Kazakhstan (PI: Prof. V.S. Melezhik and Dr. A. Bekbaev)

### Research interests

- Physics of multiple body systems, the Coulomb problem of three bodies and its application in nuclear physics and physics of muons (muon-catalyzed fusion)
- Computational and mathematical methods in application to quantum physics, nonperturbative methods for stationary and time-dependent schrödinger equation
- Ultracold atoms and molecules confined in traps, atoms and ions in strong fields.