| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Khrennikov, Andrei Y |
Open Quantum Systems in Biology, Cognitive and Social Sciences |
I12723 |
2023 |
eBook |
|
| 2 |
Khrennikov, Andrei Y |
Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena |
I10657 |
2004 |
eBook |
|
| 3 |
Khrennikov, Andrei Y |
Contextual Approach to Quantum Formalism |
I06965 |
2009 |
eBook |
|
| 4 |
Khrennikov, Andrei Y |
Ubiquitous Quantum Structure |
I06448 |
2010 |
eBook |
|
|
|
1.
  |
 |
| Title | Open Quantum Systems in Biology, Cognitive and Social Sciences |
| Author(s) | Khrennikov, Andrei Y |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. |
| Description | XXI, 371 p. 11 illus., 10 illus. in color : online resource |
| Abstract Note | This book mathematically analyzes the basic problems of biology, decision making and psychology within the framework of the theory of open quantum systems. In recent years there has been an explosion of interest in applications of quantum theory in fields beyond physics. The main areas include psychology, decision-making, economics, finance, social science as well as genetics and molecular biology. The corresponding models are referred to as quantum-like; they don???t concern any genuine physical processes in the human brain. Quantum-like models reflect the special features of information processing in biological, cognitive, and social systems which match well with the quantum formalism. This formalism gives rise to the quantum probability model (QP) which differs essentially from Kolmogorov's classical probability model. QP also serves as the basis for quantum information theory. Recently QP has been widely applied to the resolution of the basic paradoxes ofdecision making theory and to modeling experimental data stemming from cognition, psychology, economics, and finance thereby shedding light on probability fallacies and irrational behavior. In this book, the theory of quantum instruments and the quantum master equation are applied to the modeling of biological and cognitive processes, in particular, to the stability of complex biological and social systems interacting with their environment. An essential part of the book is devoted to the theory of the social laser and the Fr??hlich condensate. |
| ISBN,Price | 9783031290244 |
| Keyword(s) | 1. BIOPHYSICS
2. Cognitive science
3. EBOOK - SPRINGER
4. Mathematical Models of Cognitive Processes and Neural Networks
5. MATHEMATICS
6. Mathematics in the Humanities and Social Sciences
7. Neural networks (Computer science)??
8. QUANTUM PHYSICS
9. SOCIAL SCIENCES
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12723 |
|
|
On Shelf |
|
|
|
|
2.
 |
|
| Title | Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena |
| Author(s) | Khrennikov, Andrei Y |
| Publication | Dordrecht, Springer Netherlands, 2004. |
| Description | XV, 235 p : online resource |
| Abstract Note | In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure |
| ISBN,Price | 9789401704793 |
| Keyword(s) | 1. ANALYSIS
2. Analysis (Mathematics)
3. ARTIFICIAL INTELLIGENCE
4. Computer science???Mathematics
5. Discrete Mathematics in Computer Science
6. EBOOK
7. EBOOK - SPRINGER
8. MATHEMATICAL ANALYSIS
9. MATHEMATICAL PHYSICS
10. PHILOSOPHY OF MIND
11. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10657 |
|
|
On Shelf |
|
|
|
|
|
3.
|
|
| Title | Contextual Approach to Quantum Formalism |
| Author(s) | Khrennikov, Andrei Y |
| Publication | Dordrecht, Springer Netherlands, 2009. |
| Description | XXVIII, 354 p : online resource |
| Abstract Note | The aim of this book is to show that the probabilistic formalisms of classical statistical mechanics and quantum mechanics can be unified on the basis of a general contextual probabilistic model. By taking into account the dependence of (classical) probabilities on contexts (i.e. complexes of physical conditions), one can reproduce all distinct features of quantum probabilities such as the interference of probabilities and the violation of Bell???s inequality. Moreover, by starting with a formula for the interference of probabilities (which generalizes the well known classical formula of total probability), one can construct the representation of contextual probabilities by complex probability amplitudes or, in the abstract formalism, by normalized vectors of the complex Hilbert space or its hyperbolic generalization. Thus the Hilbert space representation of probabilities can be naturally derived from classical probabilistic assumptions. An important chapter of the book critically reviews known no-go theorems: the impossibility to establish a finer description of micro-phenomena than provided by quantum mechanics; and, in particular, the commonly accepted consequences of Bell???s theorem (including quantum non-locality). Also, possible applications of the contextual probabilistic model and its quantum-like representation in complex Hilbert spaces in other fields (e.g. in cognitive science and psychology) are discussed |
| ISBN,Price | 9781402095931 |
| Keyword(s) | 1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. MATHEMATICAL PHYSICS
8. PROBABILITIES
9. Probability Theory and Stochastic Processes
10. QUANTUM COMPUTERS
11. QUANTUM FIELD THEORY
12. Quantum Information Technology, Spintronics
13. QUANTUM PHYSICS
14. SPINTRONICS
15. STATISTICAL PHYSICS
16. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06965 |
|
|
On Shelf |
|
|
|
|
|
4.
| |
| Title | Ubiquitous Quantum Structure : From Psychology to Finance |
| Author(s) | Khrennikov, Andrei Y |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. |
| Description | XIII, 216 p : online resource |
| Abstract Note | Quantum-like structure is present practically everywhere. Quantum-like (QL) models, i.e. models based on the mathematical formalism of quantum mechanics and its generalizations can be successfully applied to cognitive science, psychology, genetics, economics, finances, and game theory. This book is not about quantum mechanics as a physical theory. The short review of quantum postulates is therefore mainly of historical value: quantum mechanics is just the first example of the successful application of non-Kolmogorov probabilities, the first step towards a contextual probabilistic description of natural, biological, psychological, social, economical or financial phenomena. A general contextual probabilistic model (V??xj?? model) is presented. It can be used for describing probabilities in both quantum and classical (statistical) mechanics as well as in the above mentioned phenomena. This model can be represented in a quantum-like way, namely, in complex and more general Hilbert spaces. In this way quantum probability is totally demystified: Born's representation of quantum probabilities by complex probability amplitudes, wave functions, is simply a special representation of this type |
| ISBN,Price | 9783642051012 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. ECONOMIC THEORY
4. Economic Theory/Quantitative Economics/Mathematical Methods
5. PROBABILITIES
6. Probability Theory and Stochastic Processes
7. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06448 |
|
|
On Shelf |
|
|
|
| |