Balachandran, A. P. 1938
Overview
Works:  27 works in 112 publications in 3 languages and 4,040 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor 
Publication Timeline
.
Most widely held works by
A. P Balachandran
Group theory and Hopf algebras : lectures for physicists by
A. P Balachandran(
)
18 editions published in 2010 in English and held by 1,516 WorldCat member libraries worldwide
This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras. It is suitable for a onesemester course in group theory or a twosemester course which also treats advanced topics. Starting from basic definitions, it goes on to treat both finite and Lie groups as well as Hopf algebras. Because of the diversity in the choice of topics, which does not place undue emphasis on finite or Lie groups, it should be useful to physicists working in many branches. A unique aspect of the book is its treatment of Hopf algebras in a form accessible to physicists. Hopf algebras are generalizations of groups and their concepts are acquiring importance in the treatment of conformal field theories, noncommutative spacetimes, topological quantum computation and other important domains of investigation. But there is a scarcity of treatments of Hopf algebras at a level and in a manner that physicists are comfortable with. This book addresses this need superbly. There are illustrative examples from physics scattered throughout the book and in its set of problems. It also has a good bibliography. These features should enhance its value to readers. The authors are senior physicists with considerable research and teaching experience in diverse aspects of fundamental physics. The book, being the outcome of their combined efforts, stands testament to their knowledge and pedagogical skills
18 editions published in 2010 in English and held by 1,516 WorldCat member libraries worldwide
This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras. It is suitable for a onesemester course in group theory or a twosemester course which also treats advanced topics. Starting from basic definitions, it goes on to treat both finite and Lie groups as well as Hopf algebras. Because of the diversity in the choice of topics, which does not place undue emphasis on finite or Lie groups, it should be useful to physicists working in many branches. A unique aspect of the book is its treatment of Hopf algebras in a form accessible to physicists. Hopf algebras are generalizations of groups and their concepts are acquiring importance in the treatment of conformal field theories, noncommutative spacetimes, topological quantum computation and other important domains of investigation. But there is a scarcity of treatments of Hopf algebras at a level and in a manner that physicists are comfortable with. This book addresses this need superbly. There are illustrative examples from physics scattered throughout the book and in its set of problems. It also has a good bibliography. These features should enhance its value to readers. The authors are senior physicists with considerable research and teaching experience in diverse aspects of fundamental physics. The book, being the outcome of their combined efforts, stands testament to their knowledge and pedagogical skills
Lectures on fuzzy and fuzzy SUSY physics by
A. P Balachandran(
)
17 editions published in 2007 in 4 languages and held by 1,396 WorldCat member libraries worldwide
Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermiondoubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as e
17 editions published in 2007 in 4 languages and held by 1,396 WorldCat member libraries worldwide
Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermiondoubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as e
Gauge symmetries and fibre bundles : applications to particle dynamics by
A. P Balachandran(
Book
)
17 editions published in 1983 in English and German and held by 452 WorldCat member libraries worldwide
17 editions published in 1983 in English and German and held by 452 WorldCat member libraries worldwide
Hubbard model and anyon superconductivity by
A. P Balachandran(
Book
)
14 editions published in 1990 in English and held by 255 WorldCat member libraries worldwide
Several different models have recently been proposed to explain High Temperature Superconductivity. This book gives an authoritative and uptodate review of two such proposals, namely the Hubbard and Anyon Models. This invaluable reference is a must for all physicists interested in the fastpaced revolutionary field of High Temperature Superconductivity
14 editions published in 1990 in English and held by 255 WorldCat member libraries worldwide
Several different models have recently been proposed to explain High Temperature Superconductivity. This book gives an authoritative and uptodate review of two such proposals, namely the Hubbard and Anyon Models. This invaluable reference is a must for all physicists interested in the fastpaced revolutionary field of High Temperature Superconductivity
Classical topology and quantum states by
A. P Balachandran(
Book
)
12 editions published in 1991 in English and held by 241 WorldCat member libraries worldwide
This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the chargemonopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences
12 editions published in 1991 in English and held by 241 WorldCat member libraries worldwide
This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the chargemonopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences
Lectures on group theory for physicists by
A. P Balachandran(
Book
)
10 editions published between 1984 and 1985 in English and held by 136 WorldCat member libraries worldwide
10 editions published between 1984 and 1985 in English and held by 136 WorldCat member libraries worldwide
Lecture course on introduction to complex variable theory by
A. P Balachandran(
Book
)
3 editions published in 1962 in English and held by 21 WorldCat member libraries worldwide
3 editions published in 1962 in English and held by 21 WorldCat member libraries worldwide
Spacetime and fundamental interactions : quantum aspects : Vietri sul Mare, Salerno, Italy, 2631 May 2003(
Book
)
2 editions published in 2003 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 6 WorldCat member libraries worldwide
Interacting quantum topologies and the quantum hall effect(
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
Proceedings of the mathematical structures in quantum physics and applications special issue by International Workshop "Mathematical Structures in Quantum Physics and Applications"(
Book
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
A topological spinstatistics theorem or a use of the antiparticle(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Explorations in fuzzy physics and noncommutative geometry by Seckin Kurkcuoglu(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Statistics and spin on twodimensional surfaces(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
ON A POSSIBLE XIPI RESONANCE(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
Exploring the physics of the sorkinjohnston state : renormalized stressenergy tensor, hadamard and energy conditions by Nicolás Guillermo Avilán Vargas(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
La no unicidad del estado de vacío es una de las características más notorias de la teoría de campos cuánticos en espaciotiempos curvos. Mientras que en el espacio de Minkowski la invarianza de Poincaré define el estado de vacío, en espaciotiempos generales no hay un criterio físico a priori para elegir un único estado de vacío. Recientemente, se ha propuesto la construcción de un nuevo estado, el cual puede ser aplicado a una amplia clase de espaciotiempos globalmente hiperbólicos. En vista de las posibles aplicaciones a problemas relacionados con cosmología y entropía de agujeros negros, es necesario explorar las propiedades físicas y matemáticas de éste estado, el estado de SorkinJohnston. Este trabajo se enfoca en la construcción de un tensor momentoenergía renormalizado para el estado de SorkinJohnston en regiones finitas de espaciotiempos 1+1 y 2+1 dimensionales. Consideramos casos con condiciones seudoperiódicas y de Dirichlet en la región espacial
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
La no unicidad del estado de vacío es una de las características más notorias de la teoría de campos cuánticos en espaciotiempos curvos. Mientras que en el espacio de Minkowski la invarianza de Poincaré define el estado de vacío, en espaciotiempos generales no hay un criterio físico a priori para elegir un único estado de vacío. Recientemente, se ha propuesto la construcción de un nuevo estado, el cual puede ser aplicado a una amplia clase de espaciotiempos globalmente hiperbólicos. En vista de las posibles aplicaciones a problemas relacionados con cosmología y entropía de agujeros negros, es necesario explorar las propiedades físicas y matemáticas de éste estado, el estado de SorkinJohnston. Este trabajo se enfoca en la construcción de un tensor momentoenergía renormalizado para el estado de SorkinJohnston en regiones finitas de espaciotiempos 1+1 y 2+1 dimensionales. Consideramos casos con condiciones seudoperiódicas y de Dirichlet en la región espacial
The Poincare group by
A. P Balachandran(
Book
)
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
Eigenvectors for the partialwave crossing matrices by
A. P Balachandran(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
Unitary Quantum Physics with TimeSpace Noncommutativity by
A. P Balachandran(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Topological issues in effective quantum theories by Sachindeo Vaidya(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
The BornOppenheimer (BO) approximation is an intuitively appealing as well as an efficient scheme to discuss quantum theories that allow a natural separation of degrees of freedom according to energy scales. This dissertation studies a subtle and remarkable interaction between two topological effects in certain effective quantum theories, one being the violation of parity $[/cal P]$ and timereversal $[/cal T]$ symmetries in the quantum description of shapes, the other being the geometric phase arising from the BornOppenheimer approximation. There are numerous examples of approximately degenerate states of opposite parity in molecular and nuclear physics. It has also been suggested that such doubles occur in certain heavy baryons. We discuss the theoretical foundations of these doubles in detail, emphasizing their topological and bundletheoretical underpinnings. Starting from certain 'low energy' effective theories in which classical symmetries like $[/cal P]$ and $[/cal T]$ are anomalously broken on quantization, we argue how these symmetries can be restored by judicious inclusion of 'high energy' degrees of freedom. This mechanism leads to the aforementioned doublet structure. A novel byproduct of this mechanism is the emergence of an approximate symmetry at low energies that is not evident in the full Hamiltonian. We also remark on how our methods may be applied to systems in monopole physics, string theory and quantum gravity. As another application of the ideas developed here, we discuss the chiral model in particle physics, with the chiral field coupled to light fermions. This leads us to a novel proof for the fact that the chiral solitons (also known as Skyrmions) of winding number one are spinorial. We also study Skyrmions of higher winding numbers, and argue that the doublet structure seen experimentally in the spectrum of some light nuclei is actually a manifestation of the mechanisms discussed here
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
The BornOppenheimer (BO) approximation is an intuitively appealing as well as an efficient scheme to discuss quantum theories that allow a natural separation of degrees of freedom according to energy scales. This dissertation studies a subtle and remarkable interaction between two topological effects in certain effective quantum theories, one being the violation of parity $[/cal P]$ and timereversal $[/cal T]$ symmetries in the quantum description of shapes, the other being the geometric phase arising from the BornOppenheimer approximation. There are numerous examples of approximately degenerate states of opposite parity in molecular and nuclear physics. It has also been suggested that such doubles occur in certain heavy baryons. We discuss the theoretical foundations of these doubles in detail, emphasizing their topological and bundletheoretical underpinnings. Starting from certain 'low energy' effective theories in which classical symmetries like $[/cal P]$ and $[/cal T]$ are anomalously broken on quantization, we argue how these symmetries can be restored by judicious inclusion of 'high energy' degrees of freedom. This mechanism leads to the aforementioned doublet structure. A novel byproduct of this mechanism is the emergence of an approximate symmetry at low energies that is not evident in the full Hamiltonian. We also remark on how our methods may be applied to systems in monopole physics, string theory and quantum gravity. As another application of the ideas developed here, we discuss the chiral model in particle physics, with the chiral field coupled to light fermions. This leads us to a novel proof for the fact that the chiral solitons (also known as Skyrmions) of winding number one are spinorial. We also study Skyrmions of higher winding numbers, and argue that the doublet structure seen experimentally in the spectrum of some light nuclei is actually a manifestation of the mechanisms discussed here
THE PRESENT STATUS OF THE NEW RESONANCES(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
The available experimental material on the resonances observed in systems of strongly interacting particles is presented. The report confines itself strictly to wellestablished facts and although references to the various phenomenological models proposed to understand these resonances are given, none of the conclusions reached purely from such models are included in the tables for these resonances. (Author)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
The available experimental material on the resonances observed in systems of strongly interacting particles is presented. The report confines itself strictly to wellestablished facts and although references to the various phenomenological models proposed to understand these resonances are given, none of the conclusions reached purely from such models are included in the tables for these resonances. (Author)
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Related Identities
 Marmo, Giuseppe Author Editor
 Jo, S. G.
 Vaidya, S. (Sachindeo) Other Author Editor
 Kürkçüoğlu, S. (Seckin)
 Trahern, C. G.
 Skagerstam, B.S Other
 Stern, A.
 Kürkc̜üoğlu, S. Other
 Lizzi, Fedele
 Kürkçüoǧlu, Seçkin Author
Useful Links
Associated Subjects
Anyon superconductivity Fiber bundles (Mathematics) Finite groups Functions of complex variables Fuzzy systems Gauge fields (Physics) Geometry, Algebraic Group theory High temperature superconductivityMathematical models Hopf algebras Hubbard model Lie groups Mathematical physics Noncommutative differential geometry Nuclear forces (Physics) Particles (Nuclear physics) Physics Poincaré series Quantum field theory Representations of groups Supersymmetry Topology
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Alternative Names
A. P. Balachandran Indiaas natuurkundige
Aiyalam Parameswaran Balachandran
Atyalam Parameswaran Balachandran 1938
Bal 1938
Balachandran, A. P.
Balachandran, A. P. 1938
Balachandran, Aiyalam P. 1938
Balachandran, Aiyalam Parameswaran 1938
Balachandran, Atyalam Parameswaran 1938
Balachandran, Aylam P. 1938
ای. پی. بالاچاندران
ای. پی. بالاچاندران فیزیکدان هندی
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