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1

Analytic continuation of eigenvalue problems

Carl M. Bender, Alexander Turbiner

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 304 KB

english, 1993

2

An accurate few-parameter ground state wave function for the lithium atom

Nicolais L. Guevara, Frank E. Harris, Alexander V. Turbiner

Journal:

International Journal of Quantum Chemistry

Year:

2009

Language:

english

File:

PDF, 94 KB

english, 2009

3

Anharmonic Oscillator and Double-Well Potential: Approximating Eigenfunctions

Alexander Turbiner

Journal:

Letters in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 112 KB

english, 2005

4

One-dimensional quasi-exactly solvable Schrödinger equations

Turbiner, Alexander V.

Journal:

Physics Reports

Year:

2016

Language:

english

File:

PDF, 1.12 MB

english, 2016

5

One-electron molecular systems in a strong magnetic field

Alexander V. Turbiner, Juan Carlos López Vieyra

Journal:

Physics Reports

Year:

2006

Language:

english

File:

PDF, 1.76 MB

english, 2006

6

Hidden algebra of the N-body Calogero problem

Alexander Turbiner

Journal:

Physics Letters B

Year:

1994

Language:

english

File:

PDF, 350 KB

english, 1994

7

The conformally invariant Laplace–Beltrami operator and factor ordering

Michael P. Ryan Jr., Alexander V. Turbiner

Journal:

Physics Letters A

Year:

2004

Language:

english

File:

PDF, 100 KB

english, 2004

8

The equation of symmetric Markovian random evolution in a plane

Alexander D. Kolesnik, Anatoly F. Turbin

Journal:

Stochastic Processes and their Applications

Year:

1998

Language:

english

File:

PDF, 144 KB

english, 1998

9

Solvability of the Hamiltonians Related to Exceptional Root Spaces: Rational Case

Konstantin G. Boreskov, Alexander V. Turbiner, Juan Carlos Lopez Vieyra

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 293 KB

english, 2005

10

The ionH3+in a strong magnetic field

Juan C. López Vieyra, Alexander V. Turbiner, Nicolais L. Guevara

Journal:

Astrophysics and Space Science

Year:

2007

Language:

english

File:

PDF, 308 KB

english, 2007

11

Molecular systems in a strong magnetic field

Alexander V. Turbiner

Journal:

Astrophysics and Space Science

Year:

2007

Language:

english

File:

PDF, 591 KB

english, 2007

12

Exotic ionH3++in strong magnetic fields

Juan C. López Vieyra, Alexander V. Turbiner, Nicolais L. Guevara

Journal:

Astrophysics and Space Science

Year:

2007

Language:

english

File:

PDF, 321 KB

english, 2007

13

Solutions of Nonlinear Differential and Difference Equations with Superposition Formulas

Alexander Turbiner, Pavel Winternitz

Journal:

Letters in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 119 KB

english, 1999

14

Hydrogen Atom and One-Electron Molecular Systems in a Strong Magnetic Field: Are All of Them Alike

Turbiner, Alexander V., Kaidalov, Alexei B., López Vieyra, Juan Carlos

Journal:

Collection of Czechoslovak Chemical Communications

Year:

2005

Language:

english

File:

PDF, 289 KB

english, 2005

15

An infinite family of solvable and integrable quantum systems on a plane

Tremblay, Frédérick, Turbiner, Alexander V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2009

Language:

english

File:

PDF, 275 KB

english, 2009

16

Exact solvability of superintegrable systems

Tempesta, Piergiulio, Turbiner, Alexander V., Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 403 KB

english, 2001

17

Periodic orbits for an infinite family of classical superintegrable systems

Tremblay, Frédérick, Turbiner, Alexander V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 707 KB

english, 2010

18

Particle in a field of two centers in prolate spheroidal coordinates: integrability and solvability

Jr, Willard Miller, Turbiner, Alexander V

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 375 KB

english, 2014

19

Quasi-Exactly Solvable Hamiltonians related to Root Spaces

Turbiner, Alexander V

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 196 KB

english, 2005

20

Two electrons in an external oscillator potential: The hidden algebraic structure

Turbiner, Alexander

Journal:

Physical Review A

Year:

1994

Language:

english

File:

PDF, 173 KB

english, 1994

21

Hidden algebras of the (super) Calogero and Sutherland models

Brink, Lars, Turbiner, Alexander, Wyllard, Niclas

Journal:

Journal of Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 681 KB

english, 1998

22

Hydrogen atom in a magnetic field: The quadrupole moment

Potekhin, Alexander Y., Turbiner, Alexander V.

Journal:

Physical Review A

Year:

2001

Language:

english

File:

PDF, 54 KB

english, 2001

23

THE QUANTUM H 4 INTEGRABLE SYSTEM

GARCÍA, MARCOS A. G., TURBINER, ALEXANDER V.

Journal:

Modern Physics Letters A

Year:

2011

Language:

english

File:

PDF, 200 KB

english, 2011

24

DOUBLE WELL POTENTIAL: PERTURBATION THEORY, TUNNELING, WKB (BEYOND INSTANTONS)

TURBINER, ALEXANDER V.

Journal:

International Journal of Modern Physics A

Year:

2010

Language:

english

File:

PDF, 327 KB

english, 2010

25

A Note About the Ground State of the Hydrogen Molecule

Turbiner, Alexander V., Guevara, Nicolais L.

Journal:

Collection of Czechoslovak Chemical Communications

Year:

2007

Language:

english

File:

PDF, 72 KB

english, 2007

26

SOLVABILITY OF THE F 4 INTEGRABLE SYSTEM

BORESKOV, KONSTANTIN G., VIEYRA, JUAN CARLOS LOPEZ, TURBINER, ALEXANDER V.

Journal:

International Journal of Modern Physics A

Year:

2001

Language:

english

File:

PDF, 413 KB

english, 2001

27

HIDDEN ALGEBRA OF THREE-BODY INTEGRABLE SYSTEMS

TURBINER, ALEXANDER

Journal:

Modern Physics Letters A

Year:

1998

Language:

english

File:

PDF, 352 KB

english, 1998

28

EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS

RÜHL, WERNER, TURBINER, ALEXANDER

Journal:

Modern Physics Letters A

Year:

1995

Language:

english

File:

PDF, 316 KB

english, 1995

29

THE QUANTUM H 3 INTEGRABLE SYSTEM

GARCÍA, MARCOS A. G., TURBINER, ALEXANDER V.

Journal:

International Journal of Modern Physics A

Year:

2010

Language:

english

File:

PDF, 747 KB

english, 2010

30

SOLVABILITY OF THE G 2 INTEGRABLE SYSTEM

ROSENBAUM, MARCOS, TURBINER, ALEXANDER, CAPELLA, ANTONIO

Journal:

International Journal of Modern Physics A

Year:

1998

Language:

english

File:

PDF, 466 KB

english, 1998

31

CANONICAL DISCRETIZATION I: DISCRETE FACES OF (AN)HARMONIC OSCILLATOR

TURBINER, ALEXANDER

Journal:

International Journal of Modern Physics A

Year:

2001

Language:

english

File:

PDF, 467 KB

english, 2001

32

H 2+ in a weak magnetic field

Cobaxin, Héctor Medel, Alijah, Alexander, Vieyra, Juan Carlos López, Turbiner, Alexander V

Journal:

Journal of Physics B Atomic Molecular and Optical Physics

Year:

2015

Language:

english

File:

PDF, 1.97 MB

english, 2015

33

LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS

SMIRNOV, YURI, TURBINER, ALEXANDER

Journal:

Modern Physics Letters A

Year:

1995

Language:

english

File:

PDF, 286 KB

english, 1995

34

Particular integrability and (quasi)-exact-solvability

Turbiner, Alexander V

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 115 KB

english, 2013

35

Quasi-exact-solvability of the ${{A}_{2}}/{{G}_{2}}$ elliptic model: algebraic forms, $sl(3)/{{g}^{(2)}}$ hidden algebra, and polynomial eigenfunctions

Sokolov, Vladimir V, Turbiner, Alexander V

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 293 KB

english, 2015

36

(Quasi)-exact-solvability on the sphere Sn

Miller, Willard, Turbiner, Alexander V.

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 492 KB

english, 2015

37

[WORLD SCIENTIFIC Proceedings of the Workshop in Honor of the 60th Birthday of Misha Shifman - FTFI, University of Minnesota (14 – 17 May 2009)] Crossing the Boundaries - Double Well Potential: Perturbation Theory, Tunneling, WKB (Beyond Instantons)

Turbiner, Alexander V.

Language:

english

File:

PDF, 222 KB

english

38

The H2

Olivares-Pilón, Horacio, Turbiner, Alexander V.

Journal:

Annals of Physics

Year:

2016

Language:

english

File:

PDF, 817 KB

english, 2016

39

Three-body problem in 3D space: ground state, (quasi)-exact-solvability

Turbiner, Alexander V, Miller, Willard, Escobar-Ruiz, Adrian M

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2017

Language:

english

File:

PDF, 904 KB

english, 2017

40

Polynomial relations in the Heisenberg algebra

Fleury, Norbert, Turbiner, Alexander

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 537 KB

english, 1994

41

Three-body problem in d -dimensional space: Ground state, (quasi)-exact-solvability

Turbiner, Alexander V., Miller, Willard, Escobar-Ruiz, M. A.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 622 KB

english, 2018

42

The quantum n-body problem in dimension d ≥ n - 1: ground state

Miller, Willard, Turbiner, Alexander V, Escobar-Ruiz, Mauricio A.

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2018

Language:

english

File:

PDF, 461 KB

english, 2018

43

: Approximating potential curves, calculating rovibrational states

Olivares-Pilón, Horacio, Turbiner, Alexander V.

Journal:

Annals of Physics

Year:

2018

Language:

english

File:

PDF, 643 KB

english, 2018

44

The hydrogen molecule H2 in inclined configuration in a weak magnetic field

Alijah, Alexander, López Vieyra, Juan Carlos, Nader, Daniel J., Turbiner, Alexander V., Cobaxin, Héctor Medel

Journal:

Journal of Quantitative Spectroscopy and Radiative Transfer

Year:

2019

File:

PDF, 590 KB

2019

45

Corrigendum: Quasi-exact-solvability of the ${A}_{2}/{G}_{2}$ Elliptic model: algebraic forms, ${sl}(3)/{g}^{(2)}$ hidden algebra, polynomial eigenfunctions, (2005 J. Phys. A: Math. Theor. 48 155201)

Sokolov, Vladimir V, Turbiner, Alexander V

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 404 KB

english, 2015

46

Few-electron atomic ions in non-relativistic QED: The ground state

Turbiner, Alexander V., Vieyra, Juan Carlos Lopez, Olivares-Pilón, Horacio

Journal:

Annals of Physics

Year:

2019

Language:

english

File:

PDF, 514 KB

english, 2019

47

Corrigendum to “H+2 , HeH and H2: Approximating potential curves, calculating rovibrational states ”[Ann. Physics 393 (2018) 335–357]

Olivares-Pilón, Horacio, Turbiner, Alexander V.

Journal:

Annals of Physics

Year:

2019

Language:

english

File:

PDF, 173 KB

english, 2019

48

Few-electron atomic ions in non-relativistic QED: The ground state

Turbiner, Alexander V., Vieyra, Juan Carlos Lopez, Olivares-Pilón, Horacio

Journal:

Annals of Physics

Year:

2019

File:

PDF, 514 KB

2019

49

[AIP Workshops on particles and fields and phenomenology of fundamental interactions - Puebla, Mexico (30 Oct−3 Nov 1995)] AIP Conference Proceedings - Hidden algebra method (quasi-exact-solvability in quantum mechanics)

Turbiner, Alexander

Year:

1996

File:

PDF, 1.94 MB

1996

50

Three-body closed chain of interactive (an)harmonic oscillators and the algebra $sl(4)$

Turbiner, Alexander V, Miller, Willard, Escobar-Ruiz, M A

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2020

File:

PDF, 322 KB

2020

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