By John R Klauder
This pioneering ebook addresses the query: Are the normal approaches of canonical quantization absolutely passable, or is there extra to profit approximately assigning a formal quantum approach to a given classical procedure? As proven during this ebook, the reply to this query is: The average techniques of canonical quantization aren't the entire story!
This ebook deals substitute quantization techniques that entire the tale of quantization. The preliminary chapters are designed to offer the recent approaches in a transparent and easy demeanour for normal readers. As is critical, platforms that convey appropriate effects with traditional quantization result in a similar effects whilst the hot systems are used for them. besides the fact that, later chapters research chosen versions that result in unacceptable effects whilst quantized conventionally. thankfully, those similar types bring about applicable effects while the recent quantization tactics are used.
Readership: Graduate scholars and researchers in quantum mechanics.
By Emmanuel Haven, Andrei Khrennikov
Written by way of international specialists within the foundations of quantum mechanics and its purposes to social technology, this booklet exhibits how effortless quantum mechanical rules may be utilized to decision-making paradoxes in psychology and utilized in modelling info in finance and economics. The publication starts off with an intensive assessment of a few of the salient alterations among classical, statistical and quantum mechanics. It offers arguments on why quantum mechanics may be utilized outdoor of physics and defines quantum social technology. the difficulty of the lifestyles of quantum probabilistic results in psychology, economics and finance is addressed and easy questions and solutions are supplied. aimed toward researchers in economics and psychology, in addition to physics, simple mathematical preliminaries and ordinary strategies from quantum mechanics are outlined in a self-contained manner.
By Alexander S. Holevo
This ebook is dedicated to elements of the rules of quantum mechanics during which probabilistic and statistical techniques play a vital function. the most a part of the e-book issues the quantitative statistical concept of quantum dimension, in accordance with the idea of confident operator-valued measures. prior to now years there was great development during this course, encouraged to a good volume by way of new functions resembling Quantum Optics, Quantum conversation and high-precision experiments. The questions of statistical interpretation, quantum symmetries, idea of canonical commutation kin and Gaussian states, uncertainty kin in addition to new basic bounds about the accuracy of quantum measurements, are mentioned during this ebook in an obtainable but rigorous approach. in comparison to the 1st version, there's a new complement dedicated to the hidden variable factor. reviews and the bibliography have additionally been prolonged and up-to-date
By A. R. Edmonds
This ebook bargains a concise advent to the angular momentum, essentially the most basic amounts in all of quantum mechanics. starting with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the writer is going directly to speak about the Clebsch-Gordan coefficients for a two-component process. After constructing the mandatory arithmetic, particularly round tensors and tensor operators, the writer then investigates the 3-j, 6-j, and 9-j symbols. all through, the writer presents sensible functions to atomic, molecular, and nuclear physics. those contain partial-wave expansions, the emission and absorption of debris, the proton and electron quadrupole second, matrix aspect calculation in perform, and the houses of the symmetrical most sensible molecule.
By Detlef Lehmann
Mathematical tools of Many-Body Quantum box concept bargains a accomplished, mathematically rigorous remedy of many-body physics. It develops the mathematical instruments for describing quantum many-body structures and applies them to the many-electron approach. those instruments contain the formalism of moment quantization, box theoretical perturbation conception, useful crucial tools, bosonic and fermionic, and estimation and summation recommendations for Feynman diagrams. one of the actual results mentioned during this context are BCS superconductivity, s-wave and better l-wave, and the fractional quantum corridor impression. whereas the presentation is mathematically rigorous, the writer doesn't concentration completely on distinctive definitions and proofs, but additionally exhibits how you can truly practice the computations. providing many fresh advances and clarifying tricky innovations, this e-book offers the heritage, effects, and element had to additional discover the problem of whilst the normal approximation schemes during this box truly paintings and after they holiday down. while, its transparent reasons and methodical, step by step calculations shed welcome mild at the verified physics literature.
By V.B. Berestetskii E. M. Lifshitz
Landau Lifshitz Vol. four half 1
By Wolfgang Nolting
Der Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.
By Uzi Landman (eds.)
By Christian Grosche
During this moment variation, a entire evaluation is given for direction integration in - and third-dimensional (homogeneous) areas of continuing and non-constant curvature, together with an enumeration of the entire corresponding coordinate structures which permit separation of variables within the Hamiltonian and within the direction quintessential. The corresponding course fundamental recommendations are awarded as a tabulation. Proposals pertaining to interbasis expansions for spheroidal coordinate platforms also are given. particularly, the instances of non-constant curvature Darboux areas are new during this variation.
the quantity additionally includes effects at the numerical research of the houses of numerous integrable billiard structures in compact domain names (i.e. rectangles, parallelepipeds, circles and spheres) in - and three-d flat and hyperbolic areas. specifically, the dialogue of integrable billiards in circles and spheres (flat and hyperbolic house) and in 3 dimensions are new compared to the 1st variation.
furthermore, an summary is gifted on a few fresh achievements within the concept of the Selberg hint formulation on Riemann surfaces, its tremendous generalization, their use in mathematical physics and string conception, and a few extra effects derived from the Selberg (super-) hint formulation.
By Vladimir G Turaev
This monograph, now in its moment revised version, offers a scientific remedy of topological quantum box theories in 3 dimensions, encouraged by means of the invention of the Jones polynomial of knots, the Witten-Chern-Simons box thought, and the speculation of quantum teams. the writer, one of many major specialists within the topic, supplies a rigorous and self-contained exposition of primary algebraic and topological recommendations that emerged during this concept