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Fabio Bagarello

Professor

Former affiliation
  • 1455 Citations
  • 20 h-Index
1988 …2020
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Research Output 1988 2019

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Article
1988
3 Citations (Scopus)

Nonstandard analysis in classical physics and quantum formal scattering

Bagarello, F. & Valenti, S., 1988, In : International Journal of Theoretical Physics. 27, p. 557-566 10 p.

Research output: Contribution to journalArticle

Nonstandard Analysis
Physics
Scattering
physics
scattering
1989
3 Citations (Scopus)
differential equations
pulses
excitation
lasers
atoms
1990
2 Citations (Scopus)

Transitions in presence of short laser pulses

Fiordilino, E., Bagarello, F. & Bagarello, F., 1990, In : Journal of Modern Optics. 37, p. 217-226 10 p.

Research output: Contribution to journalArticle

atomic spectra
pulses
lasers
electromagnetic radiation
harmonics
1991
11 Citations (Scopus)

"Almost" mean-field ising model: An algebraic approach

Bagarello, F., Trapani, C. & Bagarello, 1991, In : Journal of Statistical Physics. 65, p. 469-482 14 p.

Research output: Contribution to journalArticle

Mean-field Model
Algebraic Approach
Ising model
Ising Model
algebra
1992
48 Citations (Scopus)

Dynamics of mean-field spin models from basic results in abstract differential equations

Bagarello, F., Bagarello & Morchio, 1992, In : Journal of Statistical Physics. 66, p. 849-866 18 p.

Research output: Contribution to journalArticle

Abstract Differential Equations
Mean-field Model
Spin Models
differential equations
Spontaneous Symmetry Breaking
1993
6 Citations (Scopus)

A Note on the algebraic approach to the «almost» mean-field Heisenberg model

Trapani, C. & Bagarello, F., 1993, In : NUOVO CIMENTO. B. 108, p. 779-784 6 p.

Research output: Contribution to journalArticle

Ising model
13 Citations (Scopus)

Quantum corrections to the Wigner crystal: A Hartree-Fock expansion

Bagarello, F., Bagarello, Morchio & Strocchi, 1993, In : PHYSICAL REVIEW. B, CONDENSED MATTER. 48, p. 5306-5314 9 p.

Research output: Contribution to journalArticle

expansion
wave functions
crystals
ground state
cancellation
1994
5 Citations (Scopus)
Landau Levels
Orthonormal basis
splines
Lowest
Wavelets

Some analytical considerations on two-scale relations

Bagarello, F., Bagarello & Antoine, 1994, In : NUOVO CIMENTO. B. 109, p. 871-890 20 p.

Research output: Contribution to journalArticle

existence theorems
scaling
orthogonality
integers
eigenvalues

States and representations of CQ∗ -algebras

Trapani, C. & Bagarello, F., 1994, In : ANNALES DE L'INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. 60, p. 103-133 31 p.

Research output: Contribution to journalArticle

C*-algebra
Algebra
Linear Operator
Analogy
Hilbert space
9 Citations (Scopus)

Wavelet-like orthonormal bases for the lowest Landau level

Bagarello, F., Bagarello & Antoine, 1994, In : JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. 27, p. 2471-2481 11 p.

Research output: Contribution to journalArticle

Landau Levels
Orthonormal basis
quantum Hall effect
wavelet analysis
electron gas
1995
22 Citations (Scopus)
Delta functions
Merging
One Dimension
Multiplication
Derivatives
1996
9 Citations (Scopus)

Applications of wavelets to quantum mechanics: A pedagogical example

Bagarello, F., 1996, In : JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. 29, p. 565-576 12 p.

Research output: Contribution to journalArticle

Quantum Hall Effect
quantum Hall effect
Quantum Mechanics
quantum mechanics
Wavelets
33 Citations (Scopus)

CQ*-algebras: Structure properties

Trapani, C. & Bagarello, F., 1996, In : Publications of the Research Institute for Mathematical Sciences. 32, p. 85-116 32 p.

Research output: Contribution to journalArticle

Strong Product
Sesquilinear form
Algebra
Functional Calculus
Algebraic Structure
22 Citations (Scopus)

Lp-spaces as quasi *-algebras

Bagarello, F. & Trapani, C., 1996, In : Journal of Mathematical Analysis and Applications. 197, p. 810-824 15 p.

Research output: Contribution to journalArticle

Hausdorff Measure
Measure space
Lp Spaces
Semisimple
Algebra
17 Citations (Scopus)

The Heisenberg dynamics of spin systems: A quasi*-algebras approach

Bagarello, F. & Trapani, C., 1996, In : Journal of Mathematical Physics. 37, p. 4219-4234 16 p.

Research output: Contribution to journalArticle

Spin Systems
algebra
Algebra
Mean-field Model
Algebraic Approach
1997
3 Citations (Scopus)

Some results about frames

Bagarello, F., 1997, In : NUOVO CIMENTO. B. 112, p. 961-980 20 p.

Research output: Contribution to journalArticle

1998
14 Citations (Scopus)

Applications of topological *-algebras of unbounded operators

Bagarello, F., 1998, In : Journal of Mathematical Physics. 39, p. 6091-6105 15 p.

Research output: Contribution to journalArticle

Topological Algebra
Unbounded Operators
Bosons
algebra
bosons

Extension of representations in quasi *-algebras

Trapani, C. & Bagarello, F., 1998, In : ANNALES DE L'INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. 69, p. 241-264 24 p.

Research output: Contribution to journalArticle

Pi
Hilbert space
Sesquilinear form
Algebra
Closure
17 Citations (Scopus)

New structures in the theory of the laser model. II. Microscopic dynamics and a nonequilibrium entropy principle

Bagarello, F., Bagarello, F. & Sewell, G. L., 1998, In : Journal of Mathematical Physics. 39, p. 2730-2747 18 p.

Research output: Contribution to journalArticle

Non-equilibrium
Entropy
entropy
Laser
Quantum Dynamical Semigroup
1999
3 Citations (Scopus)
existence theorems
Cauchy's integral theorem
Nonstandard Analysis
Variational Calculus
Euler-Lagrange equation
1 Citation (Scopus)
Nonstandard Analysis
Variational Calculus
Euler-Lagrange equation
calculus of variations
Multidimensional Systems
5 Citations (Scopus)

Topological partial *-algebras: Basic properties and examples

Trapani, C., Bagarello, F. & Antoine, J-P., 1999, In : Reviews in Mathematical Physics. 11, p. 267-302 36 p.

Research output: Contribution to journalArticle

Partial Algebra
Topological Algebra
algebra
Algebra
Topology
2000
19 Citations (Scopus)

Morphisms of certain banach C*-modules

Bagarello, F. & Trapani, C., 2000, In : Publications of the Research Institute for Mathematical Sciences. 36, p. 681-705 25 p.

Research output: Contribution to journalArticle

Stefan Banach
Morphisms
Module
Algebra
Class
2001

A note on modified Gabor frames

Bagarello, F., 2001, In : IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B. 116, p. 127-135 9 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
Fixed-point Equation
Topological Algebra
Unbounded Operators
Mechanical Systems
Quantum Systems
7 Citations (Scopus)

Multi-resolution analysis and fractional quantum Hall effect: An equivalence result

Bagarello, F., 2001, In : Journal of Mathematical Physics. 42, p. 5116-5129 14 p.

Research output: Contribution to journalArticle

Quantum Hall Effect
Landau Levels
Multiresolution Analysis
quantum Hall effect
equivalence

Multi-resolution analysis in arbitrary Hilbert spaces

Bagarello, F., 2001, In : IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B. 116, p. 299-315 17 p.

Research output: Contribution to journalArticle

Hilbert space
23 Citations (Scopus)

Some classes of topological quasi *-algebras

Bagarello, F., Trapani, C. & Inoue, 2001, In : Proceedings of the American Mathematical Society. 129, p. 2973-2980 8 p.

Research output: Contribution to journalArticle

Algebra
Class
Multiplication
Hubert Space
Stefan Banach
13 Citations (Scopus)

Unbounded C*-seminorms and *-representations of partial *-algebras

Trapani, C., Bagarello, F. & Inoue, 2001, In : ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. 20, p. 295-314 20 p.

Research output: Contribution to journalArticle

Partial Algebra
Seminorm
Algebra
2002
9 Citations (Scopus)

Algebraic dynamics in O*-algebras: A perturbative approach

Bagarello, F. & Trapani, C., 2002, In : Journal of Mathematical Physics. 43, p. 3280-3292 13 p.

Research output: Contribution to journalArticle

algebra
Algebra
Unbounded Operators
Linear map
topology
4 Citations (Scopus)
algebra
bosons
operators
19 Citations (Scopus)
Delta functions
Quantum Field Theory
One Dimension
Multiplication
Delta Function
5 Citations (Scopus)

Relations between the Hepp-Lieb and the Alli-Sewell laser models

Bagarello, F., 2002, In : ANNALES HENRI POINCARE'. 3, p. 983-1002 20 p.

Research output: Contribution to journalArticle

lasers
equations of motion
generators
2003
6 Citations (Scopus)
Quantum Hall Effect
Landau Levels
Multiresolution Analysis
quantum Hall effect
Fractional
3 Citations (Scopus)

Multiresolution analysis generated by a seed function

Bagarello, F., 2003, In : Journal of Mathematical Physics. 44, p. 1519-1534 16 p.

Research output: Contribution to journalArticle

Multiresolution Analysis
equivalence
seeds
wave functions
Landau Levels
5 Citations (Scopus)

The stochastic limit of the Fröhlich Hamiltonian: Relations with the quantum hall effect

Bagarello, F. & Accardi, 2003, In : International Journal of Theoretical Physics. 42, p. 2515-2530 16 p.

Research output: Contribution to journalArticle

Quantum Hall Effect
quantum Hall effect
Resistivity
Tuning
Magnetic Field
2004

A non-commutative approach to ordinary differential equations

Bagarello, F., 2004, In : International Journal of Theoretical Physics. 43, p. 2371-2394 24 p.

Research output: Contribution to journalArticle

quantum mechanics
Ordinary differential equation
differential equations
Quantum Mechanics
Integrals of Motion
17 Citations (Scopus)

Derivations of quasi *-algebras

Trapani, C., Bagarello, F., Inoue, Bagarello & Trapani, C., 2004, In : International Journal of Mathematics and Mathematical Sciences. 21, p. 1077-1096 20 p.

Research output: Contribution to journalArticle

Representation Theory
Algebra
Family

Generation of frames

Bagarello, F., 2004, In : International Journal of Theoretical Physics. 43, p. 529-544 16 p.

Research output: Contribution to journalArticle

operators
Operator Inequality
Operator
Inverse Problem
Closed
4 Citations (Scopus)

The stochastic limit in the analysis of the open BCS model

Bagarello, F., 2004, In : JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. 37, p. 2537-2548 12 p.

Research output: Contribution to journalArticle

Spin Systems
Critical Temperature
Order Parameter
critical temperature
Model
2005
11 Citations (Scopus)
Algebra
2 Citations (Scopus)

Many-body applications of the stochastic limit: a review

Bagarello, F., 2005, In : Reports on Mathematical Physics. 56, p. 117-152 36 p.

Research output: Contribution to journalArticle

Quantum Hall Effect
many body problem
Superconductivity
quantum Hall effect
Fractional
2 Citations (Scopus)

Relations between multi-resolution analysis and quantum mechanics

Bagarello, F., 2005, In : Journal of Mathematical Physics. 46, p. 1-16 16 p.

Research output: Contribution to journalArticle

Multiresolution Analysis
quantum Hall effect
Multiresolution
Quantum Mechanics
quantum mechanics
17 Citations (Scopus)

Some Physical Appearances of Vector Coherent States and CS Related to Degenerate Hamiltonians

Bagarello, F. & Ali, S. T., 2005, In : Journal of Mathematical Physics. 46, p. 1-28 28 p.

Research output: Contribution to journalArticle

Coherent States
fermions
Fermions
quantum Hall effect
Magnetic Field

The role of a second reservoir in the open BCS model

Bagarello, F., 2005, In : OPEN SYSTEMS & INFORMATION DYNAMICS. 12, p. 401-420 20 p.

Research output: Contribution to journalArticle

Critical Temperature
critical temperature
Model
Temperature
2006
37 Citations (Scopus)

An operatorial approach to stock markets

Bagarello, F., 2006, In : JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. 39, p. 6823-6840 18 p.

Research output: Contribution to journalArticle

Stock Market
Conserved Quantity
Bosons
Quantum Mechanics
Linear Combination
4 Citations (Scopus)

A note on faithful traces on a von Neumann algebra

Trapani, C., Bagarello, F. & Triolo, S., 2006, In : Rendiconti del Circolo Matematico di Palermo. 55, p. 21-28 8 p.

Research output: Contribution to journalArticle

Von Neumann Algebra
Faithful
Trace
Family
15 Citations (Scopus)

Quasi *-algebras of measurable operators

Bagarello, F., Triolo, S. & Trapani, C., 2006, In : Studia Mathematica. 172, p. 289-305 17 p.

Research output: Contribution to journalArticle

Sesquilinear form
Algebra
Operator
Noncommutative Lp-spaces
Abstract algebra
7 Citations (Scopus)

The completion of a C*-algebra with a locally convex topology

Trapani, C., Bagarello, F., Fragoulopoulou, M. & Inoue, A., 2006, In : JOURNAL OF OPERATOR THEORY. 56, p. 357-376 20 p.

Research output: Contribution to journalArticle

C*-algebra
Completion
Topology
Algebra
Partial Algebra