Geometric Quantum Mechanics

图书简介

Geometric Quantum Mechanics is a textbook for quantum mechanics at the senior undergraduate and graduate level and follows an approach unique to textbooks in this field. The first chapter starts with the discussion of the properties of space leading to an understanding of operator techniques, Pauli matrices, quantum angular momentum, etc. The second chapter extends this to spacetime. This leads to the Lorentz equation, Maxwells equations, and the Schrödinger/Heisenberg equations, linking different fields to each other. Both chapters extensively use geometric algebra. This approach can be used to describe the motion in and production of electromagnetic fields, leading to the Lorentz and Maxwell equations, respectively. The following chapters discuss applications of quantum mechanics. These are subdivided into single-particle problems, many-particle systems, and collective and emergent phenomena. The coverage includes the fundamental forces, molecules and solids, nuclear physics, mass generation and the Higgs field, superconductivity, superfluidity, etc. The book restricts itself to the essence of these topics allowing the reader to understand how quantum mechanics impacts modern-day physics and chemistry. It appeals to instructors and students due to its different approach with its extensive use of geometric algebra and the broad range of modern applications.

1 Space 1.1 The exponential function 1.2 The two-dimensional plane 1.3 Calculus and operators 1.4 Function space for rotation in a plane 1.5 Three-dimensional space 1.6 Spinors 1.7 Pauli matrices 1.8 Rotation matrices 1.9 Projections 1.10 Function space in three dimensions 1.11 Fourier transform and translation 1.12 Dual bases 1.13 Dual basis obtained via matrix inversion 1.14 The unit sphere 1.15 Function space for rotation in three dimensions 1.16 Higher-order operators 1.17 Operator techniques for angular momentum 1.18 Chapter summary 2 Spacetime 2.1 Introduction 2.2 The four-vector 2.3 Four-momentum for particles 2.4 Function space for spacetime 2.5 Spacetime spinors 2.6 matrices 2.7 Motion in an electromagnetic field 2.8 Creation of electromagnetic fields: Maxwells equations 2.9 Nonrelativistic limit of Dirac equation 2.10 Interactions between particles and electromagnetic field 2.11 Spin-orbit coupling 2.12 Spin-orbit coupling 2.13 Schrödinger/Heisenberg equations and propagators 2.14 Electroweak interaction 3 Single-particle problems 3.1 Introduction 3.2 Quantum harmonic oscillator 3.3 Perturbed harmonic oscillator 3.4 Two-dimensional harmonic oscillator via differential equation 3.5 Two-dimensional harmonic oscillator via unit vectors 3.6 Radial equation for hydrogen atom 3.7 Transitions on atoms 3.8 Molecules and solids 3.9 Periodic potential in a solid 3.10 Scattering from local potential 3.11 Single state and a band 4 Many-particle systems 4.1 Introduction 4.2 Wavefunctions for many-body systems 4.3 Quantum statistics 4.4 The Fermi sea in solids 4.5 Tensors 4.6 Electon interactions on an atom 4.7 Strong interaction: mesons 4.8 Strong interaction: baryon 4.9 Nuclear structure 5 Collective and emergent phenomena 5.1 Magnetism 5.2 Superconductivity 5.3 Mass generation 5.4 Symmetry breaking 5.5 Screening in solids 5.6 Plasmons in solids 5.7 Superfluidity

Trade Policy 买家须知

关于产品：
● 正版保障：本网站隶属于中国国际图书贸易集团公司，确保所有图书都是100%正版。
● 环保纸张：进口图书大多使用的都是环保轻型张，颜色偏黄，重量比较轻。
● 毛边版：即书翻页的地方，故意做成了参差不齐的样子，一般为精装版，更具收藏价值。
关于退换货：
由于预订产品的特殊性，采购订单正式发订后，买方不得无故取消全部或部分产品的订购。
由于进口图书的特殊性，发生以下情况的，请直接拒收货物，由快递返回：
● 外包装破损/发错货/少发货/图书外观破损/图书配件不全（例如：光盘等）
并请在工作日通过电话400-008-1110联系我们。
签收后，如发生以下情况，请在签收后的5个工作日内联系客服办理退换货：
● 缺页/错页/错印/脱线
关于发货时间：
一般情况下：
●【现货】下单后48小时内由北京（库房）发出快递。
●【预订】【预售】下单后国外发货，到货时间预计5-8周左右，店铺默认中通快递，如需顺丰快递邮费到付。
● 需要开具发票的客户，发货时间可能在上述基础上再延后1-2个工作日（紧急发票需求，请联系010-68433105/3213）；
● 如遇其他特殊原因，对发货时间有影响的，我们会第一时间在网站公告，敬请留意。
关于到货时间：
由于进口图书入境入库后，都是委托第三方快递发货，所以我们只能保证在规定时间内发出，但无法为您保证确切的到货时间。
● 主要城市一般2-4天
● 偏远地区一般4-7天
关于接听咨询电话的时间：
010-68433105/3213正常接听咨询电话的时间为：周一至周五上午8：30～下午5：00，周六、日及法定节假日休息，将无法接听来电，敬请谅解。
其它时间您也可以通过邮件联系我们：customer@readgo.cn,工作日会优先处理。
关于快递：
● 已付款订单：主要由中通、宅急送负责派送，订单进度查询请拨打010-68433105/3213。

Geometric Quantum Mechanics 几何量子力学 物理学史

Geometric Quantum Mechanics

几何量子力学
物理学史