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Carbó-Dorca, Ramon

Author ID: carbo-dorca.ramon Recent zbMATH articles by "Carbó-Dorca, Ramon"
Published as: Carbó-Dorca, Ramon; Carbó-Dorca, R.; Carbó-Dorca, Ramón
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 551 times in 106 Documents Cited by Year
Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces. Zbl 1238.92068
Carbó-Dorca, Ramon; Besalú, Emili
26
2012
A mathematical discussion on density and shape functions, vector semispaces and related questions. Zbl 1052.81669
Bultinck, Patrick; Carbó-Dorca, Ramon
25
2004
Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order. Zbl 1027.81512
Carbó-Dorca, Ramon
24
2002
Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index. Zbl 1310.81023
Carbó-Dorca, Ramon
18
2015
Centroid origin shift of quantum object sets and molecular point clouds description and element comparisons. Zbl 1403.81081
Carbó-Dorca, Ramon; Besalú, Emili
15
2012
Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat’s last theorem conjecture. Zbl 1380.11094
Carbó-Dorca, Ramon
15
2017
\(N\)-dimensional Boolean hypercubes and the Goldbach conjecture. Zbl 1345.92168
Carbó-Dorca, Ramon
15
2016
Quantum similarity and discrete representation of molecular sets. Zbl 1227.92053
Mercado, Luz Dary; Carbó-Dorca, Ramon
14
2011
Tagged sets, convex sets and quantum similarity measures. Zbl 0931.92034
Carbó-Dorca, Ramon
13
1998
Molecular quantum similarity measures in Minkowski metric vector semispaces. Zbl 1217.81165
Carbó-Dorca, Ramon
13
2008
Inward matrix product algebra and calculus as tools to construct space–time frames of arbitrary dimensions. Zbl 1021.81010
Carbó-Dorca, Ramon
13
2001
Definition of norm coherent generalized scalar products and quantum similarity. Zbl 1200.81077
Carbó-Dorca, Ramon
12
2010
Quantum QSAR and the eigensystems of stochastic quantum similarity matrices. Zbl 1014.81033
Carbó-Dorca, Ramon
12
2000
Multimolecular polyhedra and QSPR. Zbl 1296.92239
Carbó-Dorca, Ramon
11
2014
Collective Euclidian distances and quantum similarity. Zbl 1402.92444
Carbó-Dorca, Ramon
10
2013
Fuzzy sets and Boolean tagged sets. Zbl 0899.04006
Carbó-Dorca, Ramon
9
1997
On the statistical interpretation of density functions: Atomic shell approximation, convex sets, discrete quantum chemical molecular representations, diagonal vector spaces and related problems. Zbl 0909.92039
Carbó-Dorca, Ramon
9
1998
Quantum similarity, volume functions and generalized Carbó indices. Zbl 1231.81093
Carbó-Dorca, Ramon
9
2011
A study on Goldbach conjecture. Zbl 1367.92134
Carbó-Dorca, Ramon
9
2016
An isometric representation problem in quantum multimolecular polyhedra and similarity. Zbl 1331.81429
Carbó-Dorca, Ramon
9
2015
About Erdös discrepancy conjecture. Zbl 1355.11080
Carbó-Dorca, Ramon
9
2016
Mathematical aspects of the LCAO MO first order density function. V: Centroid shifting of MO shape functions basis set, properties and applications. Zbl 1447.81206
Carbó-Dorca, Ramon
9
2013
Smooth function topological structure descriptors based on graph-spectra. Zbl 1217.05135
Carbó-Dorca, Ramon
8
2008
About some questions relative to the arbitrariness of signs: their possible consequences in matrix signatures definition and quantum chemical applications. Zbl 1052.81670
Carbó-Dorca, Ramon
8
2003
Quantum similarity matrices column set as holograms of DF molecular point clouds. Zbl 1310.81161
Carbó-Dorca, Ramon
8
2012
Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces. Zbl 1367.92133
Carbó-Dorca, Ramon
7
2016
Least squares estimation of unknown molecular properties and quantum QSPR fundamental equation. Zbl 1331.81428
Carbó-Dorca, Ramon
7
2015
A Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere. Zbl 1305.81142
Carbó-Dorca, Ramon; Besalú, Emili
7
2010
Boolean hypercubes as time representation holders. Zbl 1392.83031
Carbó-Dorca, Ramon
6
2018
DNA, unnatural base pairs and hypercubes. Zbl 1390.92096
Carbó-Dorca, Ramon
6
2018
Infinite-dimensional time vectors as background building blocks of a space-time frame structure. Zbl 1052.81680
Carbó-Dorca, Ramon
6
2004
Scaled Euclidean distances: a general dissimilarity index with a suitably defined geometrical foundation. (Scaled euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation.) Zbl 1317.51020
Carbó-Dorca, Ramon
6
2012
A quantum similarity matrix (QSM) Aufbau procedure. Zbl 1192.81409
Carbó-Dorca, Ramon
6
2008
Role of the structure of Boolean hypercubes when used as vectors in natural (Boolean) vector semispaces. Zbl 1414.92223
Carbó-Dorca, Ramon
6
2019
Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT). Zbl 1226.81314
Carbó-Dorca, R.; Besalú, E.
5
2011
Nonlinear terms & variational approach in quantum QSPR. Zbl 1172.81334
Carbó-Dorca, Ramon
5
2004
On the nature of atomic shell approximation (ASA) electrostatic molecular potentials (EMP). Zbl 1244.92069
Carbó-Dorca, Ramon; Besalú, Emili
5
2012
Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. Zbl 1380.11095
Carbó-Dorca, Ramon; Muñoz-Caro, Camelia; Niño, Alfonso; Reyes, Sebastián
5
2017
Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional Boolean hypercube concatenation. Zbl 1432.92112
Carbó-Dorca, Ramon
5
2020
Enfolded conformational spaces: definition of the chemical quantum mechanical multiverse under Born-Oppenheimer approximation. Zbl 1447.81213
Carbó-Dorca, Ramon
5
2013
Geometry of \(n\)-dimensional Euclidean space Gaussian enfoldments. Zbl 1304.51004
Carbó-Dorca, Ramon; Besalú, Emili
4
2011
Heisenberg’s relations in discrete \(N\)-dimensional parameterized metric vector spaces. Zbl 1057.46061
Carbó-Dorca, Ramon
4
2004
Molecular nuclear fields: a naïve perspective. Zbl 1102.81334
Carbó-Dorca, Ramon
4
2005
Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures. Zbl 1101.81353
Carbó-Dorca, Ramon
4
2006
An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry. Zbl 1331.81430
Carbó-Dorca, Ramon
4
2015
Mathematical aspects of the LCAO MO first order density function. I: Atomic partition, metric structure and practical applications. Zbl 1198.81209
Carbó-Dorca, Ramon
4
2008
Mathematical aspects of the LCAO MO first order density function. II: Relationships between density functions. Zbl 1255.81238
Carbó-Dorca, Ramon
4
2008
Variational principle, Hohenberg-Kohn theorem, and density function origin shifts. Zbl 1321.49079
Carbó-Dorca, Ramon
4
2013
Universal transformation and non-linear connection between experimental and calculated property vectors in QSPR. Zbl 1414.92224
Carbó-Dorca, Ramon
4
2019
Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box. Zbl 1496.81053
Nath, Debraj; Carbó-Dorca, Ramon
4
2022
A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces. Zbl 1448.81096
Chang, Jing; Carbó-Dorca, Ramon
4
2020
On density function coordinate matrix. Zbl 1312.81016
Carbó-Dorca, Ramon
4
2013
Generalized scalar products in Minkowski metric spaces. Zbl 1467.51004
Carbó-Dorca, Ramon
4
2021
About the concept of chemical space: a concerned reflection on some trends of modern scientific thought within theoretical chemical lore. Zbl 1327.92076
Carbó-Dorca, Ramon
4
2013
Position-momentum Heisenberg uncertainty in Gaussian enfoldments of euclidian space. Zbl 1327.81010
Carbó-Dorca, Ramon
4
2013
EMP as a similarity measure: a geometric point of view. Zbl 1447.81214
Carbó-Dorca, Ramon; Besalú, Emili
4
2013
On Einstein-Podolsky-Rosen paradox. Zbl 1119.81009
Carbó-Dorca, Ramon
3
2007
The general Gaussian product theorem. Zbl 1447.81205
Besalú, Emili; Carbó-Dorca, Ramon
3
2011
\(n\)-dimensional Euclidean space Gaussian enfoldment. Zbl 1304.51005
Besalú, E.; Carbó-Dorca, R.
3
2011
Deduction of Heisenberg relations and Schrödinger equation through the structure of \(N\)-dimensional parameterized metric vector spaces. Zbl 1217.81050
Carbó-Dorca, Ramon
3
2005
Diagonal coefficient representation of density functions and quantum similarity measures. Zbl 1217.81164
Carbó-Dorca, Ramon
3
2008
A general procedure to obtain quantum mechanical charge and bond order molecular parameters. Zbl 1056.81085
Carbó-Dorca, Ramon; Bultinck, Patrick
3
2004
Symmetrical overlap transformations of function basis sets: the LCAO MO and quantum similarity practical cases. Zbl 1244.92068
Carbó-Dorca, Ramon
3
2012
Coulomb repulsion, point-like nuclear charges, Dirac paradox, soft nuclear charge density and hypermultiplet nuclear repulsion. Zbl 1331.81421
Carbó-Dorca, Ramon
3
2015
Hypercubes defined on \(n\)-ary sets, the Erdös-Faber-Lovász conjecture on graph coloring, and the description spaces of polypeptides and RNA. Zbl 1429.92112
Carbó-Dorca, Ramon; Chakraborty, Tanmoy
3
2019
Transformation of Boolean hypercube vertices into unit interval elements: QSPR workout consequences. Zbl 1414.92222
Carbó-Dorca, Ramon
3
2019
Fuzzy hypercubes and their time-like evolution. Zbl 1454.05079
Chang, Jing; Carbó-Dorca, Ramon
3
2020
Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures. Zbl 1486.92335
Carbó-Dorca, Ramon
3
2022
A naïve geometrical perspective of Fukui functions: definition of Fukui function skew symmetric matrices described on density function sets. Zbl 1447.81212
Carbó-Dorca, Ramon
3
2013
The relationship between the eigenvalues and eigenvectors of a similarity matrix and its associated Carbó index matrix. Zbl 1213.92076
Ayers, Paul W.; Carbó-Dorca, Ramon
2
2011
A naive look on the Hohenberg-Kohn theorem. Zbl 0966.81015
Sen, K. D.; Besalú, Emili; Carbó-Dorca, Ramon
2
1999
A discussion on the Einstein-Podolski-Rosen (EPR) effect* in a unique wavefunction quantum mechanical framework. Zbl 1100.81007
Carbó-Dorca, Ramon
2
2006
Quantum mechanical basis for Mulliken population analysis. Zbl 1056.81086
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2004
Analysis of a general theorem concerning two non-commuting Hermitian matrices: Quantum mechanical implications for ground and excited states. Zbl 1029.81508
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2003
Mathematical aspects of the LCAO MO first order density function. III: A general localization procedure. Zbl 1255.81239
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2008
Riemannian three dimensional molecular spaces. Zbl 1162.92045
Carbó-Dorca, Ramon
2
2008
Completely soft molecular electrostatic potentials (CoSMEP) and total density functions. Zbl 1271.92008
Besalú, Emili; Carbó-Dorca, Ramon
2
2013
Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces. Zbl 1484.46026
Carbó-Dorca, Ramon; Chakraborty, Tanmoy
2
2021
On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity. Zbl 0931.92035
Robert, David; Carbó-Dorca, Ramon
1
1998
Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations. Zbl 1217.65118
Carbó-Dorca, Ramon
1
2011
Quantum chemistry, Sobolev spaces and SCF. Zbl 0996.81528
Bach, Albert; Amat, Lluis; Besalú, Emili; Carbó-Dorca, Ramon; Ponec, Robert
1
2000
Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the nonlinear Schrödinger equation. Zbl 0996.81012
Carbó-Dorca, Ramon; Besalú, Emili
1
2001
Generation of molecular fields, quantum similarity measures and related questions. Zbl 1100.81511
Carbó-Dorca, Ramon; Besalú, Emili
1
2006
An iterative method to solve the algebraic eigenvalue problem. Zbl 0895.65009
Besalú, Emili; Carbó-Dorca, Ramon
1
1997
Extending molecular similarity to energy surfaces: Boltzmann similarity measures and indices. Zbl 0902.62135
Carbó-Dorca, Ramon; Besalú, Emili
1
1996
Rayleigh-Schrödinger perturbation theory: Practical implementation of matrix and vector formalisms and description of an heuristic sufficiency convergence criterion. Zbl 0900.81087
Besalú, Emili; Carbó-Dorca, Ramon
1
1997
A postulate involving quantum mechanical momentum in position space, density function expression of the kinetic energy and Heisenberg’s uncertainty relation. Zbl 1304.82010
Carbó-Dorca, Ramon; Besalú, Emili
1
2014
On the nature of the collective quantum mechanical description of molecular atoms and bonds. Zbl 1358.82010
Carbó-Dorca, Ramon
1
2016
A theorem on the Gram matrix of a polyhedron. Zbl 1364.15023
Carbó-Dorca, Ramon
1
2017
A study on the centroid vector of a polyhedron. Zbl 1349.46006
Carbó-Dorca, Ramon
1
2016
Particle coordinates and discrete molecular description: a geometric point of view on a twofold dimensionality environment. Zbl 1358.92105
Carbó-Dorca, Ramon
1
2013
Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential. Zbl 1487.81078
Carbó-Dorca, Ramon; Nath, Debraj
1
2022
Determination of unknown molecular properties in molecular spaces. Zbl 07496319
Carbó-Dorca, Ramon
1
2022
Theoretical and quantum chemistry at the dawn of the 21st century. Zbl 1393.92001
1
2018
Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials. Zbl 1521.81020
Nath, Debraj; Carbó-Dorca, Ramon
1
2023
Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces. Zbl 1521.81245
Carbó-Dorca, Ramon
1
2023
Extension of Fermat’s last theorem in Minkowski natural spaces. Zbl 1470.11050
Carbó-Dorca, Ramon; Reyes, Sebastián; Niño, Alfonso
1
2021
Function extended spaces. Zbl 1267.92061
Carbó-Dorca, Ramon; Besalú, Emili
1
2013
Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials. Zbl 1521.81020
Nath, Debraj; Carbó-Dorca, Ramon
1
2023
Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces. Zbl 1521.81245
Carbó-Dorca, Ramon
1
2023
Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box. Zbl 1496.81053
Nath, Debraj; Carbó-Dorca, Ramon
4
2022
Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures. Zbl 1486.92335
Carbó-Dorca, Ramon
3
2022
Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential. Zbl 1487.81078
Carbó-Dorca, Ramon; Nath, Debraj
1
2022
Determination of unknown molecular properties in molecular spaces. Zbl 07496319
Carbó-Dorca, Ramon
1
2022
Generalized scalar products in Minkowski metric spaces. Zbl 1467.51004
Carbó-Dorca, Ramon
4
2021
Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces. Zbl 1484.46026
Carbó-Dorca, Ramon; Chakraborty, Tanmoy
2
2021
Extension of Fermat’s last theorem in Minkowski natural spaces. Zbl 1470.11050
Carbó-Dorca, Ramon; Reyes, Sebastián; Niño, Alfonso
1
2021
Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional Boolean hypercube concatenation. Zbl 1432.92112
Carbó-Dorca, Ramon
5
2020
A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces. Zbl 1448.81096
Chang, Jing; Carbó-Dorca, Ramon
4
2020
Fuzzy hypercubes and their time-like evolution. Zbl 1454.05079
Chang, Jing; Carbó-Dorca, Ramon
3
2020
Role of the structure of Boolean hypercubes when used as vectors in natural (Boolean) vector semispaces. Zbl 1414.92223
Carbó-Dorca, Ramon
6
2019
Universal transformation and non-linear connection between experimental and calculated property vectors in QSPR. Zbl 1414.92224
Carbó-Dorca, Ramon
4
2019
Hypercubes defined on \(n\)-ary sets, the Erdös-Faber-Lovász conjecture on graph coloring, and the description spaces of polypeptides and RNA. Zbl 1429.92112
Carbó-Dorca, Ramon; Chakraborty, Tanmoy
3
2019
Transformation of Boolean hypercube vertices into unit interval elements: QSPR workout consequences. Zbl 1414.92222
Carbó-Dorca, Ramon
3
2019
Boolean hypercubes as time representation holders. Zbl 1392.83031
Carbó-Dorca, Ramon
6
2018
DNA, unnatural base pairs and hypercubes. Zbl 1390.92096
Carbó-Dorca, Ramon
6
2018
Theoretical and quantum chemistry at the dawn of the 21st century. Zbl 1393.92001
1
2018
Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat’s last theorem conjecture. Zbl 1380.11094
Carbó-Dorca, Ramon
15
2017
Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. Zbl 1380.11095
Carbó-Dorca, Ramon; Muñoz-Caro, Camelia; Niño, Alfonso; Reyes, Sebastián
5
2017
A theorem on the Gram matrix of a polyhedron. Zbl 1364.15023
Carbó-Dorca, Ramon
1
2017
\(N\)-dimensional Boolean hypercubes and the Goldbach conjecture. Zbl 1345.92168
Carbó-Dorca, Ramon
15
2016
A study on Goldbach conjecture. Zbl 1367.92134
Carbó-Dorca, Ramon
9
2016
About Erdös discrepancy conjecture. Zbl 1355.11080
Carbó-Dorca, Ramon
9
2016
Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces. Zbl 1367.92133
Carbó-Dorca, Ramon
7
2016
On the nature of the collective quantum mechanical description of molecular atoms and bonds. Zbl 1358.82010
Carbó-Dorca, Ramon
1
2016
A study on the centroid vector of a polyhedron. Zbl 1349.46006
Carbó-Dorca, Ramon
1
2016
Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index. Zbl 1310.81023
Carbó-Dorca, Ramon
18
2015
An isometric representation problem in quantum multimolecular polyhedra and similarity. Zbl 1331.81429
Carbó-Dorca, Ramon
9
2015
Least squares estimation of unknown molecular properties and quantum QSPR fundamental equation. Zbl 1331.81428
Carbó-Dorca, Ramon
7
2015
An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry. Zbl 1331.81430
Carbó-Dorca, Ramon
4
2015
Coulomb repulsion, point-like nuclear charges, Dirac paradox, soft nuclear charge density and hypermultiplet nuclear repulsion. Zbl 1331.81421
Carbó-Dorca, Ramon
3
2015
Multimolecular polyhedra and QSPR. Zbl 1296.92239
Carbó-Dorca, Ramon
11
2014
A postulate involving quantum mechanical momentum in position space, density function expression of the kinetic energy and Heisenberg’s uncertainty relation. Zbl 1304.82010
Carbó-Dorca, Ramon; Besalú, Emili
1
2014
Collective Euclidian distances and quantum similarity. Zbl 1402.92444
Carbó-Dorca, Ramon
10
2013
Mathematical aspects of the LCAO MO first order density function. V: Centroid shifting of MO shape functions basis set, properties and applications. Zbl 1447.81206
Carbó-Dorca, Ramon
9
2013
Enfolded conformational spaces: definition of the chemical quantum mechanical multiverse under Born-Oppenheimer approximation. Zbl 1447.81213
Carbó-Dorca, Ramon
5
2013
Variational principle, Hohenberg-Kohn theorem, and density function origin shifts. Zbl 1321.49079
Carbó-Dorca, Ramon
4
2013
On density function coordinate matrix. Zbl 1312.81016
Carbó-Dorca, Ramon
4
2013
About the concept of chemical space: a concerned reflection on some trends of modern scientific thought within theoretical chemical lore. Zbl 1327.92076
Carbó-Dorca, Ramon
4
2013
Position-momentum Heisenberg uncertainty in Gaussian enfoldments of euclidian space. Zbl 1327.81010
Carbó-Dorca, Ramon
4
2013
EMP as a similarity measure: a geometric point of view. Zbl 1447.81214
Carbó-Dorca, Ramon; Besalú, Emili
4
2013
A naïve geometrical perspective of Fukui functions: definition of Fukui function skew symmetric matrices described on density function sets. Zbl 1447.81212
Carbó-Dorca, Ramon
3
2013
Completely soft molecular electrostatic potentials (CoSMEP) and total density functions. Zbl 1271.92008
Besalú, Emili; Carbó-Dorca, Ramon
2
2013
Particle coordinates and discrete molecular description: a geometric point of view on a twofold dimensionality environment. Zbl 1358.92105
Carbó-Dorca, Ramon
1
2013
Function extended spaces. Zbl 1267.92061
Carbó-Dorca, Ramon; Besalú, Emili
1
2013
Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces. Zbl 1238.92068
Carbó-Dorca, Ramon; Besalú, Emili
26
2012
Centroid origin shift of quantum object sets and molecular point clouds description and element comparisons. Zbl 1403.81081
Carbó-Dorca, Ramon; Besalú, Emili
15
2012
Quantum similarity matrices column set as holograms of DF molecular point clouds. Zbl 1310.81161
Carbó-Dorca, Ramon
8
2012
Scaled Euclidean distances: a general dissimilarity index with a suitably defined geometrical foundation. (Scaled euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation.) Zbl 1317.51020
Carbó-Dorca, Ramon
6
2012
On the nature of atomic shell approximation (ASA) electrostatic molecular potentials (EMP). Zbl 1244.92069
Carbó-Dorca, Ramon; Besalú, Emili
5
2012
Symmetrical overlap transformations of function basis sets: the LCAO MO and quantum similarity practical cases. Zbl 1244.92068
Carbó-Dorca, Ramon
3
2012
Quantum similarity and discrete representation of molecular sets. Zbl 1227.92053
Mercado, Luz Dary; Carbó-Dorca, Ramon
14
2011
Quantum similarity, volume functions and generalized Carbó indices. Zbl 1231.81093
Carbó-Dorca, Ramon
9
2011
Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT). Zbl 1226.81314
Carbó-Dorca, R.; Besalú, E.
5
2011
Geometry of \(n\)-dimensional Euclidean space Gaussian enfoldments. Zbl 1304.51004
Carbó-Dorca, Ramon; Besalú, Emili
4
2011
The general Gaussian product theorem. Zbl 1447.81205
Besalú, Emili; Carbó-Dorca, Ramon
3
2011
\(n\)-dimensional Euclidean space Gaussian enfoldment. Zbl 1304.51005
Besalú, E.; Carbó-Dorca, R.
3
2011
The relationship between the eigenvalues and eigenvectors of a similarity matrix and its associated Carbó index matrix. Zbl 1213.92076
Ayers, Paul W.; Carbó-Dorca, Ramon
2
2011
Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations. Zbl 1217.65118
Carbó-Dorca, Ramon
1
2011
Definition of norm coherent generalized scalar products and quantum similarity. Zbl 1200.81077
Carbó-Dorca, Ramon
12
2010
A Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere. Zbl 1305.81142
Carbó-Dorca, Ramon; Besalú, Emili
7
2010
Molecular quantum similarity measures in Minkowski metric vector semispaces. Zbl 1217.81165
Carbó-Dorca, Ramon
13
2008
Smooth function topological structure descriptors based on graph-spectra. Zbl 1217.05135
Carbó-Dorca, Ramon
8
2008
A quantum similarity matrix (QSM) Aufbau procedure. Zbl 1192.81409
Carbó-Dorca, Ramon
6
2008
Mathematical aspects of the LCAO MO first order density function. I: Atomic partition, metric structure and practical applications. Zbl 1198.81209
Carbó-Dorca, Ramon
4
2008
Mathematical aspects of the LCAO MO first order density function. II: Relationships between density functions. Zbl 1255.81238
Carbó-Dorca, Ramon
4
2008
Diagonal coefficient representation of density functions and quantum similarity measures. Zbl 1217.81164
Carbó-Dorca, Ramon
3
2008
Mathematical aspects of the LCAO MO first order density function. III: A general localization procedure. Zbl 1255.81239
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2008
Riemannian three dimensional molecular spaces. Zbl 1162.92045
Carbó-Dorca, Ramon
2
2008
On Einstein-Podolsky-Rosen paradox. Zbl 1119.81009
Carbó-Dorca, Ramon
3
2007
Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures. Zbl 1101.81353
Carbó-Dorca, Ramon
4
2006
A discussion on the Einstein-Podolski-Rosen (EPR) effect* in a unique wavefunction quantum mechanical framework. Zbl 1100.81007
Carbó-Dorca, Ramon
2
2006
Generation of molecular fields, quantum similarity measures and related questions. Zbl 1100.81511
Carbó-Dorca, Ramon; Besalú, Emili
1
2006
Molecular nuclear fields: a naïve perspective. Zbl 1102.81334
Carbó-Dorca, Ramon
4
2005
Deduction of Heisenberg relations and Schrödinger equation through the structure of \(N\)-dimensional parameterized metric vector spaces. Zbl 1217.81050
Carbó-Dorca, Ramon
3
2005
A mathematical discussion on density and shape functions, vector semispaces and related questions. Zbl 1052.81669
Bultinck, Patrick; Carbó-Dorca, Ramon
25
2004
Infinite-dimensional time vectors as background building blocks of a space-time frame structure. Zbl 1052.81680
Carbó-Dorca, Ramon
6
2004
Nonlinear terms & variational approach in quantum QSPR. Zbl 1172.81334
Carbó-Dorca, Ramon
5
2004
Heisenberg’s relations in discrete \(N\)-dimensional parameterized metric vector spaces. Zbl 1057.46061
Carbó-Dorca, Ramon
4
2004
A general procedure to obtain quantum mechanical charge and bond order molecular parameters. Zbl 1056.81085
Carbó-Dorca, Ramon; Bultinck, Patrick
3
2004
Quantum mechanical basis for Mulliken population analysis. Zbl 1056.81086
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2004
About some questions relative to the arbitrariness of signs: their possible consequences in matrix signatures definition and quantum chemical applications. Zbl 1052.81670
Carbó-Dorca, Ramon
8
2003
Analysis of a general theorem concerning two non-commuting Hermitian matrices: Quantum mechanical implications for ground and excited states. Zbl 1029.81508
Carbó-Dorca, Ramon; Bultinck, Patrick
2
2003
Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order. Zbl 1027.81512
Carbó-Dorca, Ramon
24
2002
Inward matrix product algebra and calculus as tools to construct space–time frames of arbitrary dimensions. Zbl 1021.81010
Carbó-Dorca, Ramon
13
2001
Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the nonlinear Schrödinger equation. Zbl 0996.81012
Carbó-Dorca, Ramon; Besalú, Emili
1
2001
Quantum QSAR and the eigensystems of stochastic quantum similarity matrices. Zbl 1014.81033
Carbó-Dorca, Ramon
12
2000
Quantum chemistry, Sobolev spaces and SCF. Zbl 0996.81528
Bach, Albert; Amat, Lluis; Besalú, Emili; Carbó-Dorca, Ramon; Ponec, Robert
1
2000
A naive look on the Hohenberg-Kohn theorem. Zbl 0966.81015
Sen, K. D.; Besalú, Emili; Carbó-Dorca, Ramon
2
1999
Tagged sets, convex sets and quantum similarity measures. Zbl 0931.92034
Carbó-Dorca, Ramon
13
1998
On the statistical interpretation of density functions: Atomic shell approximation, convex sets, discrete quantum chemical molecular representations, diagonal vector spaces and related problems. Zbl 0909.92039
Carbó-Dorca, Ramon
9
1998
On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity. Zbl 0931.92035
Robert, David; Carbó-Dorca, Ramon
1
1998
Fuzzy sets and Boolean tagged sets. Zbl 0899.04006
Carbó-Dorca, Ramon
9
1997
An iterative method to solve the algebraic eigenvalue problem. Zbl 0895.65009
Besalú, Emili; Carbó-Dorca, Ramon
1
1997
Rayleigh-Schrödinger perturbation theory: Practical implementation of matrix and vector formalisms and description of an heuristic sufficiency convergence criterion. Zbl 0900.81087
Besalú, Emili; Carbó-Dorca, Ramon
1
1997
Extending molecular similarity to energy surfaces: Boltzmann similarity measures and indices. Zbl 0902.62135
Carbó-Dorca, Ramon; Besalú, Emili
1
1996

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