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Novikova, Elena Mikhailovna

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14

Number of views:
This page:346
Abstract pages:3868
Full texts:1406
References:497
Keywords: frequency resonance, algebra of symmetries, nonlinear commutation relations, quantum K\"ahlerian forms, coherent states.

http://www.mathnet.ru/eng/person18502
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/323292

Publications in Math-Net.Ru
2019
1. E. M. Novikova, “Algebra of Symmetries of Three-Frequency Hyperbolic Resonance”, Math. Notes, 106:6 (2019), 940–956  mathnet  isi  elib  scopus
2018
2. M. V. Karasev, E. M. Novikova, “Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case”, Math. Notes, 104:6 (2018), 833–847  mathnet  isi  elib  scopus
2017
3. M. V. Karasev, E. M. Novikova, E. V. Vybornyi, “Instantons via Breaking Geometric Symmetry in Hyperbolic Traps”, Math. Notes, 102:6 (2017), 776–786  mathnet  isi  scopus
2016
4. M. V. Karasev, E. M. Novikova, E. V. Vybornyi, “Non-Lie Top Tunneling and Quantum Bilocalization in Planar Penning Trap”, Math. Notes, 100:6 (2016), 807–819  mathnet  mathscinet  isi  elib  scopus
2014
5. M. V. Karasev, E. M. Novikova, “Eigenstates of the quantum Penning–Ioffe nanotrap at resonance”, TMF, 179:3 (2014),  406–425  mathnet  elib; Theoret. and Math. Phys., 179:3 (2014), 729–746  isi  scopus
2010
6. M. V. Karasev, E. M. Novikova, “Algebra and quantum geometry of multifrequency resonance”, Izv. RAN. Ser. Mat., 74:6 (2010),  55–106  mathnet  mathscinet  zmath  elib; Izv. Math., 74:6 (2010), 1155–1204  isi  elib  scopus
2005
7. M. V. Karasev, E. M. Novikova, “Algebra with polynomial commutation relations for the Zeeman–Stark effect in the hydrogen atom”, TMF, 142:3 (2005),  530–555  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 142:3 (2005), 447–469  isi
8. M. V. Karasev, E. M. Novikova, “Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb–Dirac field”, TMF, 142:1 (2005),  127–147  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 142:1 (2005), 109–127  isi  elib
2004
9. M. V. Karasev, E. M. Novikova, “Algebra with Quadratic Commutation Relations for an Axially Perturbed Coulomb–Dirac Field”, TMF, 141:3 (2004),  424–454  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 141:3 (2004), 1698–1724  isi
2002
10. M. V. Karasev, E. M. Novikova, “Nonlinear Commutation Relations: Representations by Point-Supported Operators”, Mat. Zametki, 72:1 (2002),  54–73  mathnet  mathscinet  zmath; Math. Notes, 72:1 (2002), 48–65  isi  scopus
2001
11. M. V. Karasev, E. M. Novikova, “Coherent Transforms and Irreducible Representations Corresponding to Complex Structures on a Cylinder and on a Torus”, Mat. Zametki, 70:6 (2001),  854–874  mathnet  mathscinet  zmath  elib; Math. Notes, 70:6 (2001), 779–797  isi
1996
12. M. V. Karasev, E. M. Novikova, “Representation of exact and semiclassical eigenfunctions via coherent states. Hydrogen atom in a magnetic field”, TMF, 108:3 (1996),  339–387  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 108:3 (1996), 1119–1159  isi
1994
13. M. V. Karasev, E. M. Novikova, “Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states”, Uspekhi Mat. Nauk, 49:5(299) (1994),  169–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:5 (1994), 179–180  isi
1992
14. M. V. Karasev, E. M. Novikova, “Asymptotics of the solution of the Cauchy problem for the one-dimensional Schrödinger equation”, Mat. Zametki, 51:1 (1992),  156–159  mathnet  mathscinet  zmath; Math. Notes, 51:1 (1992), 100–102  isi

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