Schrodinger equation; asimptotic methods; spectral theory of Schrodinger equation; Vanje–Shtark type operators; Schroedinger operator, periodic potential,
asymptotic methods, spectral theory.
Main publications:
A. A. Pozharskii, Kristall s singulyarnym potentsialom v odnorodnom elektricheskom pole // TMF, (2000), tom 123, vyp. 1, str. 132–149.
A. A. Pozharskii, Ob operatorakh tipa Vane–Shtarka s singulyarnymi potentsialami // Algebra i analiz, (2002), tom 14, vyp. 1, str. 158–193.
A. A. Pozharskii, O prirode spektra operatora Shtarka–Vane //
Algebra i analiz, (2004), tom 16, vyp. 3, str. 171–200.
L. M. Baskin, P. Neittaanmaki, B. A. Plamenevskii, A. A. Pozharskii,
On Electron Transport in 3D Quantum Waveguides of Variable Cross-section // Nanotechnology, (2006), vol. 17, pp. 19–22.
A. A. Pozharskii, Polukristall s singulyarnym potentsialom v uskoryayuschem elektricheskom pole // TMF, (2006), tom 146, vyp. 3, str. 410–428.
V. S. Buslaev, A. A. Pozharskii, “Homogenization in the Scattering Problem”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 2–13; Funct. Anal. Appl., 44:4 (2010), 243–252
A. A. Pozharskii, “Absolutely continuous spectrum of Stark type operators”, Algebra i Analiz, 20:3 (2008), 197–223; St. Petersburg Math. J., 20:3 (2009), 473–492
2006
3.
A. A. Pozharskii, “Semicrystal with a singular potential in an accelerating electric field”, TMF, 146:3 (2006), 410–428; Theoret. and Math. Phys., 146:3 (2006), 343–360
2004
4.
A. A. Pozharskii, “On the nature of the Stark–Wannier spectrum”, Algebra i Analiz, 16:3 (2004), 171–200; St. Petersburg Math. J., 16:3 (2005), 561–581
A. A. Pozharskii, “Operators of Wannier–Stark type with singular potentials”, Algebra i Analiz, 14:1 (2002), 158–193; St. Petersburg Math. J., 14:1 (2003), 119–145
A. A. Pozharskii, “A crystal with a singular potential in a homogeneous electric field”, TMF, 123:1 (2000), 132–149; Theoret. and Math. Phys., 123:1 (2000), 524–538
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