عنوان

Coherent states and their applications :

شابک

3030095681

شابک

3319767321

شابک

331976733X

شابک

9783030095680

شابک

9783319767321

شابک

9783319767338

شابک اشتباه

3319767313

شابک اشتباه

9783319767314

عنوان اصلي

Coherent states and their applications :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a contemporary panorama /

نام نخستين پديدآور

edited by Jean-Pierre Antoine, Fabio Bagarello, Jean-Pierre Gazeau.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xii, 347 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Springer proceedings in physics,

مشخصه جلد

volume 205

شاپا ي ISSN فروست

0930-8989 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Intro; Preface; References; Contents; Contributors; 1 Enhanced Quantization: The Right way to Quantize Everything; 1.1 Introduction; 1.1.1 The Problem; 1.1.2 The Solution; 1.1.3 Discussion; 1.1.4 Some Physics; 1.2 Affine Variables; 1.2.1 Are Canonical Variables Available?; 1.2.2 A New Pair of Operators; 1.3 Spin Variables; 1.4 The Power of Enhanced Quantization; 1.4.1 Rotationally Symmetric Models; 1.4.2 Ultralocal Scalar Fields; 1.4.3 Covariant Scalar Field; 1.4.4 Affine Quantum Gravity; 1.5 Historical Note; References; 2 Square Integrable Representations, An Invaluable Tool.

متن يادداشت

2.1 Introduction2.2 Coherent States and Square Integrable Representations; 2.2.1 Coherent States as a Tight Frame; 2.2.2 Square Integrable Representations in a Nutshell; 2.2.3 Further Remarks; 2.3 Square Integrable Representations of Semidirect Products; 2.4 Square Integrable Representations and Phase-Space Quantum Mechanics; 2.4.1 Quantization, Dequantization and Star Products; 2.4.2 Detour: Classical States and Functions of Positive Type; 2.4.3 Quantum States and Functions of Quantum Positive Type; 2.5 From a Mathematical Divertissement to Open Quantum Systems; 2.6 Conclusions; References.

متن يادداشت

3 Coherent States for Compact Lie Groups and Their Large-N Limits3.1 Coherent States and Segal-Bargmann Transform for Lie Groups of Compact Type; 3.1.1 Lie Groups of Compact Type and Their Complexifications; 3.1.2 Heat Kernel; 3.1.3 Coherent States; 3.1.4 Resolution of the Identity; 3.1.5 Segal-Bargmann Transform; 3.2 Additional Results; 3.2.1 Geometric Quantization; 3.2.2 (1+1)-Dimensional Yang-Mills Theory; 3.2.3 Coherent States on Spheres; 3.2.4 Applications to Quantum Gravity; 3.3 The Large-N Limit; 3.3.1 Overview of Large-N Limit; 3.3.2 The Laplacian and Segal-Bargmann Transform on U(N).

متن يادداشت

3.3.3 The Action of the Laplacian on Trace Polynomials3.3.4 Concentration Properties of the Heat Kernel Measures; 3.3.5 Summary; References; 4 Continuous Frames and the Kadison-Singer Problem; 4.1 From Pure States to Coherent States; 4.2 Lyapunov's Theorem for Continuous Frames; 4.3 Discrete Frames and Approximate Lyapunov's Theorem; 4.4 Scalable Frames and Discretization Problem; 4.5 Examples; References; 5 Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence; 5.1 Coherent States: A Smooth Introduction; 5.1.1 Standard Coherent States; 5.1.2 After 1963.

متن يادداشت

5.1.3 Reproducing Kernel Hilbert Space: Instructional Material5.1.4 Horzela-Szafraniec's CSs and the Segal-Bargmann Transform; 5.1.5 The Measure: To Be or Not to Be?; 5.2 Holomorphic Hermite Polynomials; 5.2.1 Holomorphic Hermite Polynomials in a Single Variable; 5.2.2 Holomorphic Hermite Polynomials in Two Variables; 5.3 HSz CSs: Holomorphic Hermite Polynomials Perspective; 5.4 CSs for Holomorphic Hermite Polynomials; 5.4.1 Single Particle Hermite CSs: Coherence and Squeezing; 5.4.2 Bipartite CSs-Coherence, Squeezing and Entanglement; References; 6 Coherent State Maps for Kummer Shapes.

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0

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8

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8

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8

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8

متن يادداشت

Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319767321

عنوان

Coherent states and their applications.

شماره استاندارد بين المللي کتاب و موسيقي

9783319767314

موضوع مستند نشده

Coherent states.

موضوع مستند نشده

Coherent states.

موضوع مستند نشده

Complex analysis, complex variables.

موضوع مستند نشده

Mathematical modelling.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Quantum physics (quantum mechanics & quantum field theory)

موضوع مستند نشده

SCIENCE-- Energy.

موضوع مستند نشده

SCIENCE-- Mechanics-- General.

موضوع مستند نشده

SCIENCE-- Physics-- General.

موضوع مستند نشده

PHU

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI-- 024000

موضوع مستند نشده

SCI-- 041000

موضوع مستند نشده

SCI-- 055000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Antoine, Jean Pierre

مستند نام اشخاص تاييد نشده

Bagarello, Fabio,1964-

مستند نام اشخاص تاييد نشده

Gazeau, Jean-Pierre

تاريخ عمليات

20200823111329.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y