## From Classical to Quantum Mechanics: An Introduction to the by Giampiero Esposito,Giuseppe Marmo,George Sudarshan

By Giampiero Esposito,Giuseppe Marmo,George Sudarshan

Skip to content
# Category: Quantum Theory

## From Classical to Quantum Mechanics: An Introduction to the by Giampiero Esposito,Giuseppe Marmo,George Sudarshan

## Rational Kinematics (Springer Tracts in Natural Philosophy) by Jorge Angeles

## Ultracold Atoms for Foundational Tests of Quantum Mechanics by Robert J. Lewis-Swan

## Explorations in Mathematical Physics: The Concepts Behind an by Don Koks

## XVIIth International Congress on Mathematical Physics by JENSEN ARNE,Arne Jensen

## Living In a Quantum Reality: Using Quantum Physics and by Valerie Varan

## Simple Models of Many-Fermion Systems by Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eric Suraud

## Artificial Gauge Fields with Ultracold Atoms in Optical by Monika Aidelsburger

## Symmetries and Symmetry Breaking in Field Theory by Parthasarathi Mitra

## The Scientific Correspondence of H.A. Lorentz: Volume I: 1 by A.J. Kox

By Giampiero Esposito,Giuseppe Marmo,George Sudarshan

This 2004 textbook presents a pedagogical advent to the formalism, foundations and functions of quantum mechanics. half I covers the elemental fabric that's essential to comprehend the transition from classical to wave mechanics. themes comprise classical dynamics, with emphasis on canonical variations and the Hamilton-Jacobi equation, the Cauchy challenge for the wave equation, Helmholtz equation and eikonal approximation, creation to spin, perturbation idea and scattering concept. The Weyl quantization is gifted partially II, besides the postulates of quantum mechanics. half III is dedicated to issues corresponding to statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This e-book is meant to be used as a textbook for starting graduate and complicated undergraduate classes. it truly is self-contained and contains difficulties to help the reader's understanding.

By Jorge Angeles

A rational examine of kinematics is a remedy of the topic in keeping with invariants, i.e., amounts that stay primarily unchanged lower than a metamorphosis of observer. An observer is known to be a reference body provided with a clock (Truesdell 1966). This learn will hence contain an advent to invariants. The language of those is tensor research and multilinear algebra, either one of which percentage many isomorphic relatives, those matters are handled in complete aspect in Ericksen (1960) and Bowen and Wang (1976), and for this reason aren't integrated the following. just a brief account of notation and definitions can be offered. in addition, definitions and simple suggestions bearing on the kinematics of inflexible our bodies could be additionally integrated. even supposing the kinematics of inflexible our bodies will be considered as a selected case of the kinematics of continua, the previous merits cognizance by itself benefits for a number of purposes. the sort of is that it describes in the community the motions passed through by means of continua. one more reason is complete zone of mechanics, often called classical dynamics, is the learn of the motions gone through via debris, inflexible our bodies, and platforms thereof.

By Robert J. Lewis-Swan

This thesis offers a theoretical research into the construction and exploitation of quantum correlations and entanglement between ultracold atoms. in particular, it makes a speciality of those non-classical results in contexts: (i) checks of neighborhood realism with vast debris, e.g., violations of a Bell inequality and the EPR paradox, and (ii) cognizance of quantum expertise through exploitation of entanglement, for instance quantum-enhanced metrology.

In specific, the paintings provided during this thesis emphasizes the potential of demonstrating and characterizing entanglement in practical experiments, past the straightforward “toy-models” frequently mentioned within the literature. the significance and relevance of this thesis are mirrored in a spate of modern guides relating to experimental demonstrations of the atomic Hong-Ou-Mandel impact, remark of EPR entanglement with titanic debris and an illustration of an atomic SU(1,1) interferometer. With a separate bankruptcy on every one of those platforms, this thesis is on the vanguard of present learn in ultracold atomic physics.

By Don Koks

Have you ever puzzled why the language of recent physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution *really* is? What tensors are all about? Or what box thought and lagrangians are, and why gravity is defined as curvature?

This e-book takes you on a travel of the most rules forming the language of contemporary mathematical physics. Here you are going to meet novel techniques to strategies such as determinants and geometry, wave functionality evolution, statistics, signal processing, and third-dimensional rotations. You will see how the sped up frames of special relativity let us know approximately gravity. On the adventure, you can find how tensor notation pertains to vector calculus, how differential geometry is outfitted on intuitive innovations, and the way variational calculus ends up in box theory. You will meet quantum dimension idea, besides eco-friendly capabilities and the artwork of advanced integration, and at last common relativity and cosmology.

The ebook takes a clean method of tensor research equipped exclusively at the metric and vectors, without having for one-forms. This supplies a way more geometrical and intuitive perception into vector and tensor calculus, including basic relativity, than do conventional, extra summary methods.

Don Koks is a physicist on the Defence technology and expertise company in Adelaide, Australia. His doctorate in quantum cosmology was once received from the dep. of Physics and Mathematical Physics at Adelaide University. Prior paintings on the college of Auckland specialized in utilized accelerator physics, besides natural and utilized mathematics.

Readers are uncovered to cutting-edge perspectives on mathematical physics. a number of of the plenary lectures supply extensive surveys on fresh actions, for instance, in orthogonal polynomials, PDE in mathematical physics, and data conception in physics.

By Valerie Varan

For those that have skilled a transpersonal or non secular awakening, it may be tough again to residing within the daily international. out of the blue, you will be confronted with demanding situations equivalent to nervousness, melancholy, melancholy, the darkish evening of the Soul, and a large number of different vigorous and religious imbalances. *Living in a Quantum Reality *helps to spot the typical uncomfortable side effects of wholeness awareness and provides quite a few workouts, meditations, and therapeutic the right way to focus on having the next cognizance in an international that remains suffering to trap up.

*Living in a Quantum Reality* helps you recognize your “impossible” transpersonal reviews through integrating quantum physics into psychology and providing a hassle-free description of the numerous layers or spheres of power and realization. This imaginative and prescient of the quantum self synthesizes religious proposal with an array of medical disciplines, and is supported via the author’s personal direct stories, in addition to her consumers’ reviews with better reality.

This e-book is a step towards advancing the sphere of psychology, and particularly the perform of psychotherapy, to meet up with the newest, extra quantum, worldview, one who is extra accomplished for realizing the reaches of our human awareness and psycho-spiritual experiences.

This e-book is a step towards advancing the sphere of psychology, and particularly the perform of psychotherapy, to meet up with the newest, extra quantum, worldview, one who is extra accomplished for realizing the reaches of our human awareness and psycho-spiritual experiences.

By Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eric Suraud

the aim of this publication is to supply a pedestrians path to the physics of many-particle platforms. the fabric is constructed alongside basic and regularly occurring types which enable to light up the elemental mechanisms past each one procedure and which observe to huge number of structures in several components of physics and chemistry. The ebook is taken care of in steps of slowly expanding complexity of the types. Complementing numerical instruments aid to hold on the place analytical tools achieve their limits. they supply while an invaluable education for the common numerical tools in many-body physics.In order to restrict the massive box, we will concentration the discussions on finite platforms wherefrom we take the examples of purposes. This covers nuclei, atoms, molecules and clusters. the assumption of this booklet is to pay attention first at the general, powerful and easy, techniques and convey how they practice to numerous domain names around the particular disciplines. nonetheless, we goal to set up touch with real study by way of sporting forth a few examples as much as real looking functions. This latter element emphasizes our purpose to lead the reader in ”practizing” the instruments offered within the booklet, either at schematic and lifelike levels.

By Monika Aidelsburger

This paintings studies at the iteration of synthetic magnetic fields with ultracold atoms in optical lattices utilizing laser-assisted tunneling, in addition to at the first Chern-number dimension in a non-electronic system.

It starts off with an creation to the Hofstadter version, which describes the dynamics of charged debris on a sq. lattice subjected to robust magnetic fields. This version indicates power bands with non-zero topological invariants referred to as Chern numbers, a estate that's on the beginning of the quantum corridor impression. the most a part of the paintings discusses the conclusion of analog platforms with ultracold impartial atoms utilizing laser-assisted-tunneling strategies either from a theoretical and experimental viewpoint. Staggered, homogeneous and spin-dependent flux distributions are generated and characterised utilizing two-dimensional optical super-lattice potentials. also their topological houses are studied through the commentary of bulk topological currents.

The experimental strategies offered the following provide a special atmosphere for learning topologically non-trivial platforms with ultracold atoms.

By Parthasarathi Mitra

Many classes on smooth quantum box concept concentrate on the formula and alertness of box thought, leaving issues on the topic of symmetry underdeveloped. This ends up in scholars frequently having an incomplete knowing of symmetries. Filling this hole, **Symmetries and Symmetry Breaking in box Theory** sheds gentle on numerous elements of symmetry in box theory.

The booklet provides a large choice of very important themes, together with constraint conception, generalized Pauli–Villars regularization, the degree method of anomalies, zeta functionality regularization, and anomalous gauge theories. the writer explains how a few classical symmetries are damaged via anomalies and the way different symmetries of the speculation are spontaneously damaged. He discusses the entire principles in as basic a fashion as possible.

By A.J. Kox

This quantity provides a variety of 434 letters from and to the Dutch physicist and Nobel Prize winner Hendrik Antoon Lorentz (1853–1928), overlaying the interval from 1883 till a couple of months earlier than his loss of life in February 1928. The sheer measurement of the to be had correspondence (approximately 6000 letters from and to Lorentz) avert an entire e-book. The letters incorporated during this quantity were chosen in keeping with numerous standards, an important of that's medical value. A moment criterion has been the supply of letters either from and to Lorentz, in order that the reader can keep on with the alternate among Lorentz and his correspondent. inside of such correspondences a couple of unimportant goods, facing regimen administrative or organizational concerns, were passed over. An exception to the medical criterion is the trade of letters among Lorentz and Albert Einstein, Max Planck, Woldemar Voigt, and Wilhelm Wien in the course of international battle I: those letters were integrated simply because they shed vital gentle at the disruption of the medical kinfolk through the conflict and at the political beliefs of those correspondents in addition to of Lorentz. comparable purposes the letters exchanged with Einstein and Planck on post-war political concerns were incorporated. Biographical cartoon Hendrik Antoon Lorentz was once born on July 18, 1853 within the Dutch city of Arnhem. He was once the son of a comparatively well-to-do proprietor of a nursery.