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The main theme of this classic book is the path integral technique and its applications to constructive methods of quantum physics. The central topic is probabilistic foundations of Feynman-Kac formula. Starting with main examples of Gaussian processes, the author presents four different proofs of the Feynman-Kac formula.

Mathematical physics --- Quantum mechanics. Quantumfield theory --- Integration, Functional. --- Quantum theory. --- Integration, Functional --- Quantum theory --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Functional integration --- Functional analysis --- Integrals, Generalized --- 530.1 --- 530.1 Basic principles of physics --- Basic principles of physics --- Théorie quantique --- Théorie quantique --- Mesure, Théorie de la

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Quantum mechanics in Hilbert space

Hilbert space. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Banach spaces --- Hyperspace --- Inner product spaces --- Hilbert space --- Quantum theory --- 530.1 --- 530.1 Basic principles of physics --- Basic principles of physics --- Espace de Hilbert --- Théorie quantique

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In recent years, the exhilarating sense of discovery in the realm of physics has almost become the exclusive right of the specialist in the field. Books on contemporary physics tend to be oversimplified or too technical for the general reader to gain a proper appreciation of the appeal that this scientific quest holds for the modern-day physicist.Invitation To Contemporary Physics, however, offers a unique opportunity for the layman or new student to share in the fascination and excitement of seven of the most enthralling areas at the research frontiers of modern day physics: lasers, supercond

Physics. --- Astrophysics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Astrophysics --- 001.92 --- 530.1 --- 535 --- 538.94 --- 538.94 Quantum liquids and solids --- Quantum liquids and solids --- 535 Optics --- Optics --- 001.92 Verbreiding van feitelijke kennis. Popularisering van de wetenschap --- Verbreiding van feitelijke kennis. Popularisering van de wetenschap --- 530.1 Basic principles of physics --- Basic principles of physics

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532.5 --- Wetenschap --- Aarde --- Chemische reacties --- Dieren --- Ecologie --- Elektriciteit --- Energie --- Evolutie --- Geluid --- Licht --- Materialen --- Materie --- Menselijk lichaam --- Natuurkundige proeven --- Proeven --- Weer --- Wetenschappen --- magnetisme --- 530.1 --- C6 --- undefined --- wetenschappelijke proeven --- Pure sciences. Natural sciences (general) --- Science --- natuurwetenschappen --- WO (wereldoriëntatie) --- Geschiedenis --- Voorlichting

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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Space and time --- Astrophysics --- Astronomical physics --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Astronomy --- Cosmic physics --- Physics --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Space and time. --- Astrophysics. --- General and Others --- 530.1 --- 530.1 Basic principles of physics --- Basic principles of physics --- Theory of relativity. Unified field theory --- Geometry, Differential --- General relativity (Physics) --- Géométrie différentielle --- Relativité générale (Physique) --- Espace et temps --- Relativité générale (physique) --- Cosmologie --- Geometrie differentielle