Relativistic Wave Mechanics (Paperback)

Geared toward advanced undergraduate and graduate students of physics, this text provides readers with a background in relativistic wave mechanics and prepares them for the study of field theory. The treatment originated as a series of lectures from a course on advanced quantum mechanics that has been further amplified by student contributions.
An introductory section related to particles and wave functions precedes the three-part treatment. An examination of particles of spin zero follows, addressing wave equation, Lagrangian formalism, physical quantities as mean values, translation and rotation operators, spin zero particles in electromagnetic field, pi-mesic atoms, and discontinuous transformations. The second section explores particles of spin one-half in terms of spin operators, the Weyl and Dirac equations, constants of motion, plane wave solutions and invariance properties of the Dirac equation, the Dirac equation for a charged particle in an electromagnetic field, non-relativistic limit of the Dirac equation, and Dirac particle in a central electrostatic field. The final section, on collision and radiation processes, covers time-independent scattering of a spinless particle, non-relativistic steady-state scattering of a particle of spin one-half, time-independent scattering of Dirac particles, non-relativistic time-dependent scattering theory, emission and absorption of electromagnetic radiation, and time-dependent relativistic scattering theory.

這本書針對物理學的高年級本科生和研究生，提供讀者相對論波動力學的背景知識，並為他們準備進一步研究場論的學習。這個教材最初是從一門高級量子力學課程的一系列講座中衍生出來的，並且還得到了學生的貢獻。

在三個部分的教學之前，有一個介紹性的部分涉及粒子和波函數。接著是對自旋為零的粒子的探討，包括波動方程、拉格朗日形式、物理量作為平均值、平移和旋轉算符、電磁場中的自旋為零粒子、π介子原子和不連續變換。第二部分探討了自旋為半的粒子，涉及自旋算符、Weyl和Dirac方程、運動常數、平面波解和Dirac方程的不變性特性、帶電粒子在電磁場中的Dirac方程、Dirac方程的非相對論極限以及Dirac粒子在中心靜電場中的情況。最後一部分涵蓋了碰撞和輻射過程，包括自旋為零粒子的時間獨立散射、自旋為半粒子的非相對論穩態散射、Dirac粒子的時間獨立散射、非相對論時間相依散射理論、電磁輻射的發射和吸收，以及時間相依的相對論散射理論。