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1 Cassinelli, Gianni The Theory of Symmetry Actions in Quantum Mechanics I11185 2004 eBook  
2 Busch, Paul The Quantum Theory of Measurement I05011 1996 eBook  
3 Busch, Paul Operational Quantum Physics I03208 1995 eBook  
4 Busch, Paul The Quantum Theory of Measurement I01999 1991 eBook  
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1.    
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TitleThe Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group
Author(s)Cassinelli, Gianni;Vito, Ernesto;Levrero, Alberto;Lahti, Pekka J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXII, 111 p : online resource
Abstract NoteThis is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given
ISBN,Price9783540445098
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. LIE GROUPS 6. Mathematical Methods in Physics 7. PHYSICS 8. QUANTUM PHYSICS 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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I11185     On Shelf    

2.     
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TitleThe Quantum Theory of Measurement
Author(s)Busch, Paul;Lahti, Pekka J;Mittelstaedt, Peter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1996.
DescriptionXIII, 181 p : online resource
Abstract NoteThe amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Their approach includes the concepts of unsharp objectification and of nonunitary transformations needed for a unifying description of various detailed investigations. The book addresses advanced students and researchers in physics and philosophy of science. In this second edition Chaps. II-IV have been substantially rewritten. In particular, an insolubility theorem for the objectification problem has been formulated in full generality, which includes unsharp object observables and unsharp pointers
ISBN,Price9783540372059
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. QUANTUM COMPUTERS 7. Quantum Information Technology, Spintronics 8. QUANTUM PHYSICS 9. SPINTRONICS
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I05011     On Shelf    

3.     
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TitleOperational Quantum Physics
Author(s)Busch, Paul;Grabowski, Marian;Lahti, Pekka J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1995.
DescriptionXI, 232 p. 10 illus : online resource
Abstract NoteOperational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of an observable as a positive operator valued (POV) measure is explained in great detail, and the ensuing quantum measurement theory is developed and applied both to a resolution of long-standing conceptual and interpretational puzzles in the foundations of quantum mechanics, and to an analysis of various recent fundamental experiments. The book, or different parts of it, may be of interest to advanced students or researchers in quantum physics, to philosophers of physics, and to mathematicians working on operator valued measures
ISBN,Price9783540492399
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL ANALYSIS 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
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I03208     On Shelf    

4.    
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TitleThe Quantum Theory of Measurement
Author(s)Busch, Paul;Lahti, Pekka J;Mittelstaedt, Peter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionXIII, 165 p. 1 illus : online resource
Abstract NoteThe present treatise is concerned with the quantum mechanical theory of measurement. Since the development of quantum theory in the 1920s the measuring process has been considered a very important problem. A large number of articles have accordingly been devoted to this subject. In this way the quantum mechanical measurement problem has been a source of inspiration for physical, mathematical and philo?? sophical investigations into the foundations of quantum theory, which has had an impact on a great variety of research fields, ranging from the physics of macroscopic systems to probability theory and algebra. Moreover, while many steps forward have been made and much insight has been gained on the road towards a solution of the measurement problem, left open nonetheless are important questions, which have in?? duced several interesting developments. Hence even today it cannot be said that the measurement process has lost its topicality and excite?? ment. Moreover, research in this field has made contact with current advances in high technology, which provide new possibilities for per?? forming former Gedanken experiments. For these reasons we felt that the time had come to develop a systematic exposition of the quantum theory of measurement which might serve as a basis and reference for future research into the foundations of quantum mechanics. But there are other sources of motivation which led us to make this effort. First of all, in spite of the many contributions to measurement theory there is still no generally accepted approach
ISBN,Price9783662138441
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MICROSCOPY 4. QUANTUM COMPUTERS 5. Quantum Information Technology, Spintronics 6. QUANTUM PHYSICS 7. SOLID STATE PHYSICS 8. SPECTROSCOPY 9. Spectroscopy and Microscopy 10. SPINTRONICS
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I01999     On Shelf    

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