Prugovečki, Eduard
Overview
Works:  17 works in 110 publications in 2 languages and 2,878 library holdings 

Roles:  Author 
Classifications:  QC174.17.H55, 530.120151573 
Publication Timeline
.
Most widely held works by
Eduard Prugovečki
Quantum mechanics in Hilbert space by
Eduard Prugovečki(
Book
)
42 editions published between 1971 and 2013 in English and Undetermined and held by 1,378 WorldCat member libraries worldwide
A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and selfcontained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas.This text features the rigorous proofs of all the main functionalanalytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics and mathematicsoriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end
42 editions published between 1971 and 2013 in English and Undetermined and held by 1,378 WorldCat member libraries worldwide
A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and selfcontained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas.This text features the rigorous proofs of all the main functionalanalytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics and mathematicsoriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end
Principles of quantum general relativity by
Eduard Prugovečki(
)
14 editions published between 1994 and 1995 in English and held by 864 WorldCat member libraries worldwide
This monograph explains and analyzes the principles of a quantumgeometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context
14 editions published between 1994 and 1995 in English and held by 864 WorldCat member libraries worldwide
This monograph explains and analyzes the principles of a quantumgeometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context
Stochastic quantum mechanics and quantum spacetime : a consistent unification of relativity and quantum theory based on stochastic
spaces by
Eduard Prugovečki(
Book
)
23 editions published between 1983 and 1986 in English and Dutch and held by 329 WorldCat member libraries worldwide
23 editions published between 1983 and 1986 in English and Dutch and held by 329 WorldCat member libraries worldwide
Quantum geometry : a framework for quantum general relativity by
Eduard Prugovečki(
Book
)
13 editions published between 1992 and 2011 in English and held by 224 WorldCat member libraries worldwide
This monograph presents a review and analysis of the main mathematical, physical and epistomological difficulties encountered at the foundational level by all the conventional formulations of relativistic quantum theories, ranging from relativistic quantum mechanics and quantum field theory in Minkowski space, to the various canonical and covariant approaches to quantum gravity. It is, however, primarily devoted to the systematic presentation of a quantum framework meant to deal effectively with these difficulties by reconsidering the foundations of these subjects, analyzing their epistemic nature, and then developing mathematical tools which are specifically designed for the elimination of all the basic inconsistencies. A carefully documented historical survey is included, and additional extensive notes containing quotations from original sources are incorporated at the end of each chapter, so that the reader will be brought uptodate with the very latest developments in quantum field theory in curved spacetime, quantum gravity and quantum cosmology. The survey further provides a backdrop against which the new foundational and mathematical ideas of the present approach to these subjects can be brought out in sharper relief
13 editions published between 1992 and 2011 in English and held by 224 WorldCat member libraries worldwide
This monograph presents a review and analysis of the main mathematical, physical and epistomological difficulties encountered at the foundational level by all the conventional formulations of relativistic quantum theories, ranging from relativistic quantum mechanics and quantum field theory in Minkowski space, to the various canonical and covariant approaches to quantum gravity. It is, however, primarily devoted to the systematic presentation of a quantum framework meant to deal effectively with these difficulties by reconsidering the foundations of these subjects, analyzing their epistemic nature, and then developing mathematical tools which are specifically designed for the elimination of all the basic inconsistencies. A carefully documented historical survey is included, and additional extensive notes containing quotations from original sources are incorporated at the end of each chapter, so that the reader will be brought uptodate with the very latest developments in quantum field theory in curved spacetime, quantum gravity and quantum cosmology. The survey further provides a backdrop against which the new foundational and mathematical ideas of the present approach to these subjects can be brought out in sharper relief
Stochastic Quantum Mechanics and Quantum Spacetime : a Consistent Unification of Relativity and Quantum Theory Based on Stochastic
Spaces by
Eduard Prugovečki(
)
3 editions published between 1984 and 1986 in English and held by 53 WorldCat member libraries worldwide
The principal intent of this monograph is to present in a systematic and selfcon tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents
3 editions published between 1984 and 1986 in English and held by 53 WorldCat member libraries worldwide
The principal intent of this monograph is to present in a systematic and selfcon tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents
Memoirs of the future : a futuristic novel by
Eduard Prugovečki(
Book
)
1 edition published in 2001 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 8 WorldCat member libraries worldwide
On the empirical and mathematical foundations of quantum mechanics by
Eduard Prugovečki(
Book
)
3 editions published in 1965 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 5 WorldCat member libraries worldwide
Quantum mechanics in Hilbert space by
Eduard Prugovečki(
Book
)
2 editions published in 1981 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 5 WorldCat member libraries worldwide
Dawn of the new man : a futuristic novel of social change by
Eduard Prugovečki(
Book
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
Quantum mechanics in Hilbert space by
Eduard Prugovečki(
Book
)
1 edition published in 1971 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 2 WorldCat member libraries worldwide
Quantum mechanics in Hilbert space by
Eduard Prugovečki(
Book
)
1 edition published in 1971 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 2 WorldCat member libraries worldwide
Quantum mechanics in Hilbert space by
Eduard Prugovečki(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Quantum Mechanics in Hilbert Space (Pure and applied mathematics ; a series of monographs and textbooks ; v. 41) by
Eduard Prugovečki(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Measurement in quantum mechanics as a stochastic process on spaces of fuzzy events by
Eduard Prugovečki(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
On the tmatrix formula for multichannel coulomb scattering by
Eduard Prugovečki(
Book
)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
Fuzzy sets in the theory of measurement of incompatible observables by
Eduard Prugovečki(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
A postulational framework for theories of simultaneous measurement of several observables by
Eduard Prugovečki(
)
1 edition published in 1973 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1973 in English and held by 0 WorldCat member libraries worldwide
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Alternative Names
Eduard Prugovečki Amerikaans wiskundige (19372003)
Eduard Prugovečki amerikansk fysikar og matematikar
Eduard Prugovečki amerikansk fysiker och matematiker
Eduard Prugovečki amerikansk fysiker og matematiker
Eduard Prugovečki USamerikanischer Physiker rumänischer Herkunft
ادوارد پروگووچکی ریاضیدان و فیزیکدان آمریکایی
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