Can Dirac s Principles of Quantum Mechanics be used as an introductory to

1930 Principles of Quantum Mechanics: This book summarizes the concepts of quantum mechanics in modern notation (mostly developed by Dirac himself), and at the end of the book, he first pioneered the theory of the relativistic nature of the electron. The book was written without reference to any works on quantum mechanics.

1966 "Lectures on Quantum Mechanics": The book ** many quantum mechanics in curved space-time. 1966 "Lectures on Quantum Field Theory":

This book lays the foundations of quantum field theory in the Hamiltonian way of mechanics. 1974 "Spinors in Hilbert Space": Based on the lecture notes given at the University of Miami in 1969, this book deals with the fundamental aspects of spinors from a real Hilbert space.

Dirac said in a prophetic way: "Starting from a theory that there are only fermion variables, the boson variables can be obtained naturally, which makes it possible to have an infinite number of fermion variables." There must be a boson variable associated with electrons" General Theory of Relativity, 1975:

Einstein's general theory of relativity is summarized in 68 pages. 1978 "Directions in Physics": a series of lectures given by Dirac at the University of New South Wales.

The best way to learn quantum mechanics is to use your right brain, think more and associate more, and don't get bogged down in mathematics. I recommend two classic books: Feynman's "Lectures on Physics" Volume 3, which is relatively basic and focuses on physical concepts.

Domestic quantum mechanics is not very good, basically plagiarized from others, Zeng Jinyan's "Quantum Mechanics" volume 1 can be referred to, can cope with the domestic exam.

1 "The Strings of the Universe", a very good book on string theory, can systematically explain string theory, starting with the second chapter to explain superstrings, the first chapter is to describe the conflict between relativity and quantum mechanics. 2 "The Universe in the Shell" is a popular science book with the theme of cosmology, involving many cutting-edge concepts such as general relativity, quantum theory, black holes, inflation, time travel, string theory, and supergravity. 3 "Principles of Quantum Mechanics" is a classic work by Master Dirac, suitable for those who are interested in quantum mechanics, especially for beginners.

4 Feynman Lectures on Physics Feynman Lectures on Physics has been written for decades and has led thousands of physicists to enter the temple of physics. Since 82, China has introduced and translated and published it by Shanghai Science and Technology Publishing House. Although this book is basic, it still needs to be re-read when it is understood.

5 Does God Roll the Dice? ——The History of Quantum Mechanics" This is a rare and good book about modern physics. The author's writing is really good, and he can use accurate metaphors for others to understand some things that he doesn't know how to explain clearly, and there is nothing wrong with his grasp of science knowledge.

Do you want more?

Quantum mechanics is based on several assumptions: 1. The mathematical quantities that describe the microscopic state are vectors in the Hilbert space, and two vectors with a complex factor that differ from each other describe the same state. 2. (1) The physical quantities of the microscopic system are described by the Hermitian arithmetic in Hilbert space; (2) The eigenvalue of the corresponding operator of the physical quantity (3) The probability of the physical quantity is proportional to the square of the coefficient3, the reciprocal relationship between the position operator and the momentum operator is [x,p]=ih 2pai4, the state of the microscopic system changes with time satisfies the Schrödinger equation 5, and the state vector of the identical particle system is either symmetric (boson) or antisymmetric (fermion) after any pair of particles is swapped Based on the above assumption, everything upstairs can basically be deduced, such as the uncertain relation.

Also, the theory of relativity is not included here. SEE, Kaxinglin, "Advanced Quantum Mechanics".

I really like this bottomup style, and the outline is very instructive. Also, the dirac symbol is well spoken. The last chapter is hard to keep up with though.

After watching Dirac, I spent a month going through Griffiths to find a sense of calculation.

Graduate students in quantum mechanics, but there is no overly complicated mathematics, in which the ideas are very profound.

Zhou Shixun's "Quantum Mechanics" once said that "Quantum Mechanics Volume" and Dirac's "Principles of Quantum Mechanics".

Only find the Chinese version, do you want it?

When Dirac was 28 years old, he wrote a book called "Principles of Quantum Mechanics".

a.That's right. b.Mistake.

Correct Answer: a

Why is the Sea of Dirac alone? Because I was very impressed with it, it was very interesting. So what is the Sea of Dishankelak?

As mentioned above, the Dirac equation has a solution to negative energy, and it is generally thought that the solution of negative energy is meaningless and will be automatically discarded, but Dirac thinks it is meaningful.

We know that the orbital of the lowest energy level of electrons is the first layer, which can be lined up to two electrons. The lower the energy level, the more stable the electrons, so the electrons always give priority to the first layer, due to the Pauli incompatibility principle, the first layer is occupied by electrons, and the other electrons can only be ranked in orbits of higher energy states. For example, the second layer, the third layer, and so on.

So what the hell is the negative energy level?

In fact, the negative energy level is higher than the first layer, Dirac believes that the negative energy level exists, but it is already occupied by electrons, so the electrons cannot jump to the negative energy level, and the vacuum is full of negative energy levels. So how do you prove that negative energy levels really exist?

If we bombard with high-energy particles, electrons at negative energy levels can be blasted out. So there is a hole on the negative energy level, which is positively charged and has the same mass as the electron, which is the positron, which is the antiparticle of the electron. Later, scientists really discovered antielectrons, and even all particles have corresponding antiparticles, such as antiprotons, antineutrons, and antiquarks.

The antiparticle and the corresponding particle are the same in mass, spin, average lifetime, and magnetic moment magnitude. If electrified. The two carry an equal amount of electricity but have opposite signs. The orientation relationship between magnetic moment and spin is also reversed.

When an antiparticle meets the corresponding particle, it annihilates and transforms into another particle.

Vacuum can blast out positive and negative electrons, can the annihilation of positive and negative substances produce a vacuum? The secrets of the universe may be hidden in the sea of Dirac.

Keep these in mind.

The orthogonal normalization and completeness of the 0 base, this is the secretary for yourself, and these are the most commonly used in the whole calculation. Familiarize yourself with the use of the lower Dirac function.

1 Relation to the wave function = (x) (the same goes for x), here |x>,|p> the relationship x|, which is satisfied by defaultx>=x|x> p|p>=p|p> (x, p are coordinate and momentum operators, and x, p are specific coordinate momentum values).

2 The most basic uncertainty relation =a exp(ipx h) (three dimensions are converted into dot multiplication, the normalization coefficient a=1 (2 pi h) (s 2), s is the dimension) (h is with one horizontal).

3 A mechanical quantity a in |The observations on are < |a|>a is a Hermitian operator, a=a(+).

4 This is a classical number, which can be moved as a whole in the formula, otherwise you cannot change the order of the symbols in the formula. ()=(), in the case of a mechanical quantity operator, do not write (+).

5 Basically, what you have to do is write out what you are asking for, and then insert the completeness (usually two or more) relations, and then use property (4) to swap the order of some of the terms in it, make up the Dirac function terms and other completeness relations, and then do the math below.

It is recommended that you take a good look at how to use the above properties to prove (or explain) that the wave function of the coordinate space is converted to the wave function of the momentum space corresponds to a Fourier transform (this example should be in the book), and think about it carefully.

Schrödinger Appearance:

（t）>=exp(-iht)|ψ

Or to satisfy the Schrödinger equation.

The mechanical quantity a does not evolve with time.

The average observed value of the mechanical quantity a at any time is < |exp(iht)aexp(-iht)|ψ

Heisenberg representation, the state is unchanged, and the mechanical quantity operator evolves according to time.

a(t)=exp(iht)aexp(-iht)

Ensure that the average value of the mechanical quantity measured at any time is consistent with that of Schrödinger. Finding the derivative directly for a(t) makes it easy to derive the Heisenberg equations. Partial derivatives are more difficult to write, and I won't write two equations.

The exponent of the mechanical quantity represents exp(a)=1+a+a2 2!+a^3/3!+.

It is easy to verify the eigenstate acting on the mechanical quantity aa>, exp(a)|a>=exp(a)|a>

|a> can be understood as a matrix (or vector) of order n1. That is, the h operator acts on this matrix, and the result is still an n 1st order matrix (or vector).

This is the inner product of the two matrices (the inner product of the vector).

This is the inner product.

What questions do you want? I can't tell you everything.

Antimatter is the anti-state of normal matter. When positive and antimatter meet, the two sides annihilate each other and cancel each other, occurring ** and generating a huge amount of energy.

Positrons and negative protons are both antiparticles, and they have the same amount of electricity but opposite electricity compared to electrons and protons. Scientists imagine that there could be matter in the universe that is entirely composed of antiparticles, that is, antimatter. Electrons and antielectrons have the same mass but have opposite charges.

The same is true for protons and antiprotons. Particles and antiparticles are not only opposite in charge, but also in all other properties that can be reversed.