量子物理的非常规方法(英文版)[俄罗斯]卡扎科夫（Kazakov K.V.）哈尔滨工业大学出版社【现货实拍 可开发票 下载 pdf 百度网盘 epub 免费 2025 电子书 mobi 在线

　　Quantum mechanics is one of the most fascinating， and at the same time most controversial， branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. What is the sense of a probability interpretation of a physical phenomenon? Which approach to a quantum field theory is more consistent? How must we comprehend a quantum world? This book，leaving aside the search for spiritual content and answers to these questions， allows one to deeply contemplate some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics based on the solutions of integro-differential equations， we prefer logical and partly intuitional derivations of noncommutative algebra. The reader， having become armed with the necessary knowledge and skills from classical physics and symbolic mathematics， can thus directly penetrate the abstract world of quantum mechanics.

For exactly solvable models， we develop the method of factorization. This method， leaning primarily on Green's formalism， is applied for consideration of simple problems in the theory of vibrations and the relativistic theory of an electron. For more complicated problems， mainly related to the physics of various effects of anharmonicity， we develop the method of polynomials of quantum numbers， which enables one to systematize the calculations according to the perturbation theory. Regarding the quantum field theory and the calculation of observable radiative corrections， we rely entirely on Dirac's ideas， not on -at present-the pervasive rules of operation with a scattering matrix. Dirac's theory， possessing a proper elegance， is built on the equations of motion and is suitable for a first acquaintance with the principal problems of quantum electrodynamics， a matter of belief that remains open.

The author respectfully expresses his gratitude to John Ogilvie， who read the manuscript and made valuable comments. This book addresses a wide readership with serious enthusiasm about theoretical physics.

Preface

1 Ideas and principles

Quantum world

Probability waves

Physical operators

Noncommutative physics

Moment of momentum

Perturbation theory

Factorization

Oscillator

Quantum numbers

2 Physics of the electron

Hydrogen atom

Bohr's formula

Matrix elements

Dirac's equation

Relativistic invariance

Spin one—half

Pauli's theory

Elementary consequences

Useful definitions

Positrons

Fine structure

Solution according to factorization

Magnetic interaction

Landau levels

Anharmonicity

3 Theory of anharmonicity

Model Hamiltonian

Perturbation method

Inclusion of degenerate levels

Polynomial formalism

Ensemble of anharmonic oscillators

General equations

Physical interpretation

Rules for polynomials

Quantum functions

Other anharmonic models

Morse potential

Generalized Morse problem

4 Quantum fields

Creation and destruction operators

Free scalar field

Quantization of electromagnetic field

Fermi's ideology

Electron—positron Dirac field

Interaction picture

Solution according to perturbation theory

Normal product

Ultraviolet divergences

Regularization of interaction energy

5 Radiative corrections

Renormalization of mass

Anomalous magnetic moment of the electron

On the history of radiative corrections

Bethe's formula

Electromagnetic shift of atomic levels

Vacuum polarization

Renormalization of charge

Dirac's ideas and quantum field theory

Bibliography

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