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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Sahni, Viraht |
Schr??dinger Theory of Electrons: Complementary Perspectives |
I12426 |
2022 |
Book |
|
| 2 |
Sahni, Viraht |
Quantal Density Functional Theory |
I09642 |
2016 |
eBook |
|
| 3 |
Sahni, Viraht |
Quantal Density Functional Theory |
I11454 |
2004 |
eBook |
|
| 4 |
Sahni, Viraht |
Quantal Density Functional Theory II |
I07176 |
2009 |
eBook |
|
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1.
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| Title | Schr??dinger Theory of Electrons: Complementary Perspectives |
| Author(s) | Sahni, Viraht |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XVIII, 407 p. 54 illus., 41 illus. in color : online resource |
| Abstract Note | This book presents a complementary perspective to Schr??dinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schr??dinger theory, is that of the individual electron in the sea of electrons via its temporal and stationary-state equations of motion ??? the ???Quantal Newtonian??? Second and First Laws. The Laws are in terms of ???classical??? fields experienced by each electron, the sources of the fields being quantum-mechanical expectation values of Hermitian operators taken with respect to the wave function. Each electron experiences the external field, and internal fields representative of properties of the system, and a field descriptive of its response. The energies are obtained in terms of the fields. The ???Quantal Newtonian??? Laws lead to physical insights, and new properties of the electronic system are revealed. New mathematical understandings of Schr??dinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schr??dinger theory is its manifestation as a local effective potential theory described via Quantal Density Functional theory. This description too is in terms of ???classical??? fields and quantal sources. The theory provides a rigorous physical explanation of the mapping from the interacting system to the local potential theory equivalent. The complementary perspective to stationary ground state Schr??dinger theory founded in the theorems of Hohenberg and Kohn, their extension to the presence of a magnetic field and to the temporal domain ??? Modern Density Functional Theory -- is also described. The new perspectives are elucidated by application to analytically solvable interacting systems. These solutions and other relevant wave function properties are derived |
| ISBN,Price | 9783030974091 |
| Keyword(s) | 1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. QUANTUM FIELD THEORY
8. QUANTUM PHYSICS
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12426 |
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On Shelf |
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2.
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| Title | Quantal Density Functional Theory |
| Author(s) | Sahni, Viraht |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2016. |
| Description | XIX, 413 p. 71 illus., 20 illus. in color : online resource |
| Abstract Note | This book deals with quantal density functional theory (QDFT) which is a time-dependent local effective potential theory of the electronic structure of matter. The treated time-independent QDFT constitutes a special case. In the 2nd edition, the theory is extended to include the presence of external magnetostatic fields. The theory is a description of matter based on the ???quantal Newtonian??? first and second laws which is in terms of ???classical??? fields that pervade all space, and their quantal sources. The fields, which are explicitly defined, are separately representative of electron correlations due to the Pauli exclusion principle, Coulomb repulsion, correlation-kinetic, correlation-current-density, and correlation-magnetic effects. The book further describes Schr??dinger theory from the new physical perspective of fields and quantal sources. It also describes traditional Hohenberg-Kohn-Sham DFT, and explains via QDFT the physics underlying the various energy functionals and functional derivatives of the traditional approach to electronic structure. |
| ISBN,Price | 9783662498422 |
| Keyword(s) | 1. Chemometrics
2. EBOOK
3. EBOOK - SPRINGER
4. Interfaces (Physical sciences)
5. Materials???Surfaces
6. Math. Applications in Chemistry
7. MATHEMATICAL PHYSICS
8. Surface and Interface Science, Thin Films
9. Surfaces (Physics)
10. Surfaces and Interfaces, Thin Films
11. Theoretical, Mathematical and Computational Physics
12. THIN FILMS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09642 |
|
|
On Shelf |
|
|
|
|
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3.
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| Title | Quantal Density Functional Theory |
| Author(s) | Sahni, Viraht |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. |
| Description | XIV, 256 p : online resource |
| Abstract Note | Quantal density functional theory (Q-DFT) is a new local effective potential energy theory of the electronic structure of matter. It is a description in terms of classical fields that pervade all space, and their quantal sources. The fields, which are explicitly defined, are separately representative of the many-body electron correlations present in such a description, namely, those due to the Pauli exclusion principle, Coulomb repulsion, correlation-kinetic, and correlation-current-density effects. The book further describes Schr??dinger theory from the new perspective of fields and quantal sources. It also explains the physics underlying the functionals and functional derivatives of traditional DFT |
| ISBN,Price | 9783662096246 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Mathematical Methods in Physics
4. Numerical and Computational Physics, Simulation
5. Phase transitions (Statistical physics)
6. Phase Transitions and Multiphase Systems
7. PHYSICAL CHEMISTRY
8. PHYSICS
9. QUANTUM COMPUTERS
10. Quantum Information Technology, Spintronics
11. QUANTUM PHYSICS
12. SPINTRONICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11454 |
|
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On Shelf |
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4.
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| Title | Quantal Density Functional Theory II : Approximation Methods and Applications |
| Author(s) | Sahni, Viraht |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. |
| Description | XVIII, 426 p : online resource |
| Abstract Note | This book is on approximation methods and applications of Quantal Density Functional Theory (QDFT), a new local effective-potential-energy theory of electronic structure. What distinguishes the theory from traditional density functional theory is that the electron correlations due to the Pauli exclusion principle, Coulomb repulsion, and the correlation contribution to the kinetic energy -- the Correlation-Kinetic effects -- are separately and explicitly defined. As such it is possible to study each property of interest as a function of the different electron correlations. Approximations methods based on the incorporation of different electron correlations, as well as a many-body perturbation theory within the context of QDFT, are developed. The applications are to the few-electron inhomogeneous electron gas systems in atoms and molecules, as well as to the many-electron inhomogeneity at metallic surfaces |
| ISBN,Price | 9783540922292 |
| Keyword(s) | 1. Chemometrics
2. EBOOK
3. EBOOK - SPRINGER
4. Materials???Surfaces
5. Math. Applications in Chemistry
6. MATHEMATICAL PHYSICS
7. Surfaces and Interfaces, Thin Films
8. Theoretical, Mathematical and Computational Physics
9. THIN FILMS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07176 |
|
|
On Shelf |
|
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