Alexander V. Turbiner - INSPIRE

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Alexander V. Turbiner(
UNAM, Mexico
)

hep-th
math-ph
quant-ph

Author Identifier: A.V.Turbiner.1

PhD Advisor:

Karen Avetikovich Ter-Martirosyan

present
UNAM, Mexico
1989
Moscow, ITEP
1978
PHD, Moscow, ITEP

Updated on Sep 14, 2023

Literature(138)

Cited By

Date of paper

19742025

Number of authors

Single author

43

10 authors or less

137

Exclude RPP

Exclude Review of Particle Physics

138

Document Type

article

125

published

92

conference paper

13

review

2

Collaborators

Adrian M. Escobar-Ruiz

14

Juan C. Lopez Vieyra

12

J.C. Lopez Vieyra

8

Juan Carlos Lopez Vieyra

7

Edward V. Shuryak

6

Marcos A. Garcia Garcia

4

Juan Carlos Lopez Vieyra

4

J.C. del Valle

4

Juan Carlos del Valle

4

N.L. Guevara

4

Affiliations

Mexico U., ICN

49

Moscow, ITEP

35

Mexico U.

8

Mexico U., CEN

6

SUNY, Stony Brook

6

Marseille, CPT

5

IHES, Bures-sur-Yvette

4

Orsay, LPT

4

CERN

2

Zurich, ETH

2

138 results

Citation Summary

Most Recent

Tremblay-Turbiner-Winternitz (TTW) system at integer index

k

: polynomial algebras of integrals

#1

Juan Carlos López Vieyra
,
Alexander V. Turbiner

(Mar 12, 2025)

e-Print:
- 2503.09502 [math-ph]

reference search0 citations

SUSY Quantum Mechanics, (non)-Analyticity and

\ldots

Phase Transitions

#2

Alexander V. Turbiner
(
- Mexico U., ICN
)

(Sep 4, 2024)

e-Print:
- 2409.03081 [math-ph]

reference search0 citations

Towards the "puzzle" of Chromium dimer Cr

_2

: predicting the Born-Oppenheimer rovibrational spectrum

#3

Horacio Olivares-Pilón
,
Daniel Aguilar-Díaz
,
Alexander V. Turbiner

(Jan 6, 2024)

e-Print:
- 2401.03259 [physics.chem-ph]

reference search0 citations

Wolfes model akaG2/I6-rational integrable model: g(2), g(3) hidden algebras and quartic polynomial algebra of integrals

#4

Juan Carlos Lopez Vieyra
,
Alexander V. Turbiner

(Oct 31, 2023)

Published in:
- J.Math.Phys. 65 (2024) 5, 051702
•
e-Print:
- 2310.20481 [math-ph]

reference search2 citations

Two-body Coulomb problem and hidden g

^{(2)}

algebra: superintegrability and cubic polynomial algebra

#5

Alexander V. Turbiner
,
Adrian M. Escobar-Ruiz

(Sep 28, 2023)

Published in:
- J.Phys.Conf.Ser. 2667 (2023) 1, 012075
•
Contribution to:
- QTS12
•
e-Print:
- 2309.16886 [math-ph]

reference search3 citations

Radial power-like potentials: From the Bohr–Sommerfeld S-state energies to the exact ones

#6

J.C. del Valle
,
A.V. Turbiner

(May 18, 2023)

Published in:
- Int.J.Mod.Phys.A 38 (2023) 17, 2350092
•
e-Print:
- 2305.11363 [quant-ph]

reference search1 citation

\mathfrak{gl}(3)

Polynomial Integrable System: Different Faces of the 3-Body/

{\mathcal A}_2

Elliptic Calogero Model

#7

Alexander V. Turbiner
,
Juan Carlos Lopez Vieyra
,
Miguel Ayala

(Apr 30, 2023)

Published in:
- SIGMA 20 (2024) 012,
- SIGMA 20 (2024) 012
•
e-Print:
- 2305.00529 [math-ph]

reference search0 citations

Two-body Coulomb problem and g(2) algebra (once again about the Hydrogen atom)

#8

Alexander V. Turbiner
,
Adrian M. Escobar Ruiz

(Dec 2, 2022)

Published in:
- Phys.Lett.A 468 (2023) 128738
•
e-Print:
- 2212.03108 [quant-ph]

reference search2 citations

Classical n-body system in volume variables II: Four-body case

#9

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

(Sep 2, 2022)

Published in:
- Int.J.Mod.Phys.A 37 (2022) 34, 2250209
•
e-Print:
- 2209.01165 [physics.class-ph]

reference search0 citations

From quartic anharmonic oscillator to double well potential

#10

Alexander V. Turbiner
(
- Mexico U., ICN
)
,
Juan Carlos del Valle
(
- Mexico U., ICN
)

(Oct 30, 2021)

Published in:
- Acta Polytech. 62 1, 208-210
•
e-Print:
- 2111.01546 [quant-ph]

reference search5 citations

Ultra-compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus: II. Spin-singlet (excited) and spin-triplet (lowest) states of helium sequence

#11

Alexander V. Turbiner
(
- Mexico U., ICN
)
,
Juan Carlos Lopez Vieyra
(
- Mexico U., ICN
)
,
Juan Carlos del Valle
(
- Mexico U., ICN
)
,
Daniel Julian Nader
(
- Veracruzana U.
)

(Aug 2, 2021)

Published in:
- Int.J.Quant.Chem. 122 (2022) 9, e26879
•
e-Print:
- 2108.02145 [physics.atom-ph]

reference search2 citations

Power-like potentials: From the Bohr—Sommerfeld energies to exact ones

#12

J.C. del Valle
(
- Mexico U., ICN
)
,
Alexander V. Turbiner
(
- Mexico U., ICN
)

(Jul 31, 2021)

Published in:
- Int.J.Mod.Phys.A 36 (2021) 29, 2150221
•
e-Print:
- 2108.00327 [quant-ph]

reference search4 citations

Superintegrability of (2n + 1)-body choreographies, n = 1,2,3,…,∞ on the algebraic lemniscate by Bernoulli (inverse problem of classical mechanics)

#13

Alexander V. Turbiner
,
Juan Carlos Lopez Vieyra

(Mar 26, 2021)

Published in:
- Int.J.Mod.Phys.A 36 (2021) 17, 2150116
•
e-Print:
- 2103.14642 [physics.class-ph]

reference search0 citations

Comment on: Uncommonly accurate energies for the general quartic oscillator

#14

Alexander V. Turbiner
(
- Mexico U.
)
,
Juan Carlos del Valle
(
- Mexico U.
)

(Feb 18, 2021)

Published in:
- Int.J.Quant.Chem. 121 (2021) 19, e26766
•
e-Print:
- 2102.09246 [quant-ph]

reference search6 citations

On the connection between perturbation theory and new semiclassical expansion in quantum mechanics

#15

A.V. Turbiner
(
- Stony Brook U.
)
,
E. Shuryak
(
- Stony Brook U.
)

(Feb 8, 2021)

Published in:
- Nucl.Phys.B 989 (2023) 116117
•
e-Print:
- 2102.04623 [quant-ph]

reference search2 citations

Two-body neutral Coulomb system in a magnetic field at rest: From hydrogen atom to positronium

#16

J.C. del Valle
(
- Mexico U., ICN
)
,
A.V. Turbiner
(
- Mexico U., ICN
)
,
A.M. Escobar Ruiz
(
- Mexico City U., Azcapotzalco
)

(Nov 30, 2020)

Published in:
- Phys.Rev.A 103 (2021) 3, 032820
•
e-Print:
- 2012.00044 [quant-ph]

reference search4 citations

Anharmonic oscillator: a solution

#17

Alexander V. Turbiner
(
- Mexico U., ICN
)
,
Juan Carlos del Valle
(
- Mexico U., ICN
)

(Nov 29, 2020)

Published in:
- J.Phys.A 54 (2021) 29, 295204
•
e-Print:
- 2011.14451 [quant-ph]

reference search15 citations

{\rm H}_2

in a strong magnetic field revisited

#18

D.J. Nader
,
A.V. Turbiner
,
J.C. López Vieyra

(Sep 30, 2020)

Published in:
- J.Quant.Spectrosc.Radiat.Trans. 265 (2021) 7545
•
e-Print:
- 2010.00106 [physics.atom-ph]

reference search0 citations

Classical n-body system in geometrical and volume variables: I. Three-body case

#19

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

(Jul 23, 2020)

Published in:
- Int.J.Mod.Phys.A 36 (2021) 18, 2150140,
- Int.J.Mod.Phys.A 36 (2021) 24, 2192004 (erratum)
•
e-Print:
- 2007.11959 [math-ph]

reference search1 citation

Radial Anharmonic Oscillator: Perturbation Theory, New Semiclassical Expansion, Approximating Eigenfunctions. II. Quartic and Sextic Anharmonicity Cases

#20

J.C. del Valle
(
- Mexico U., ICN
)
,
A.V. Turbiner
(
- Mexico U., ICN
)

(Dec 23, 2019)

Published in:
- Int.J.Mod.Phys.A 35 (2020) 01, 2050005
•
e-Print:
- 1912.10919 [quant-ph]

reference search7 citations

From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics

#21

Alexander V. Turbiner
(
- Mexico U., ICN
)
,
Willard Miller
(
- Minnesota U.
)
,
M. Adrian Escobar-Ruiz
(
- Mexico City U., Iztapalapa
)

(Dec 12, 2019)

Published in:
- J.Phys.A 54 (2021) 1, 015204
•
e-Print:
- 1912.05726 [math-ph]

reference search4 citations

Particular superintegrability of 3-body (modified) Newtonian Gravity

#22

Alexander V. Turbiner
(
- Mexico U., ICN
)
,
Juan Carlos Lopez Vieyra
(
- Mexico U., ICN
)

(Oct 25, 2019)

Published in:
- Mod.Phys.Lett.A 35 (2020) 22, 2050185
•
e-Print:
- 1910.11644 [physics.class-ph]

reference search2 citations

Radial Anharmonic Oscillator: Perturbation Theory, New Semiclassical Expansion, Approximating Eigenfunctions. I. Generalities, Cubic Anharmonicity Case

#23

J.C. del Valle
(
- Mexico U., ICN
)
,
A.V. Turbiner
(
- Mexico U., ICN
)

(Aug 10, 2019)

Published in:
- Int.J.Mod.Phys.A 34 (2019) 26, 1950143
•
e-Print:
- 1908.03799 [quant-ph]

reference search9 citations

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

#24

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

(Jun 3, 2019)

Published in:
- J.Math.Phys. 60 (2019) 6, 062101,
- APS Physics A 60 (2019) 062101,
- Physics 62 (2021) 072103
•
e-Print:
- 1811.06008 [math-ph],
- 2103.08094 [math-ph]

reference search3 citations

Existence of the finite hydrogenic molecular chain H

_3

_2^−

in a strong magnetic field

#25

D.J. Nader
,
J.C. López Vieyra
,
A.V. Turbiner

(Mar 11, 2019)

Published in:
- Phys.Rev.A 100 (2019) 1, 012508
•
e-Print:
- 1903.06533 [astro-ph.HE]

reference search2 citations

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