This is the Schrodinger equation.

E. Schrodinger's basic equation of quantum mechanics. Established on 1926. It is a non-relativistic wave equation. It reflects the law describing the state of microscopic particles changing with time, and its position in quantum mechanics is equivalent to Newton's law of classical mechanics, which is one of the basic assumptions of quantum mechanics. Let the wave function describing the state of microscopic particles be ψ, and the Schrodinger equation of microscopic particles with mass m moving in the potential field u be. Given the initial and boundary conditions and the single-valued, finite and continuous conditions, the wave function ψ can be solved. From this, the distribution probability of particles and the average value of any possible experiments can be calculated. When the potential function u does not depend on time t, the particle has definite energy, and the state of the particle is called steady state. The steady-state wave function can be written as a formula, in which ψ is called the steady-state wave function, which satisfies the steady-state Schrodinger equation and is called the eigenequation mathematically, where E is the eigenvalue and the steady-state energy, and ψ is also called the eigenfunction belonging to the eigenvalue E. ..

Solving particle problems in quantum mechanics often boils down to solving Schrodinger equation or stationary Schrodinger equation. Schrodinger equation is widely used in atomic physics, nuclear physics and solid physics, and the results of solving a series of problems such as atoms, molecules, nuclei and solids are in good agreement with reality.

Schrodinger equation is only applicable to non-relativistic low-speed particles, not included.

What is Schrodinger's law?

Schrodinger equation, also known as Schrodinger wave equation, is the basic equation and hypothesis in quantum mechanics proposed by Austrian physicist Schrodinger.

It is a second-order partial differential equation established by combining the concept of matter wave with wave equation, which can describe the movement of microscopic particles. Every microscopic system has its own Schrodinger equation. By solving the equation, we can get the specific form of wave function and the corresponding energy, so as to understand the properties of micro-system. Schrodinger equation shows that in quantum mechanics, particles appear in a probabilistic way, which is uncertain and the failure can be ignored on the macro scale.

Extended data:

1925 Zurich, Switzerland holds a physics seminar every two weeks. On one occasion, the organizer peter debye invited Schrodinger to give a talk.

Debye pointed out that since particles have volatility, there should be a wave equation that can correctly describe this quantum property. His suggestion gave Schrodinger great inspiration and encouragement, and he began to look for this wave equation. The simplest and most basic way to test this equation is to use this equation to describe the physical behavior of bound electrons in hydrogen atoms, which will certainly reproduce the theoretical results of Bohr model. In addition, this equation must also explain the fine structure given by sommerfeld model.

Soon, Schrodinger deduced the wave equation of relativity through the theory of relativity in De Broglie's paper. He applied this equation to hydrogen atom and calculated the wave function of bound electrons. But unfortunately. Because Schrodinger does not consider the spin of electrons, the fine structure formula derived from this equation does not conform to Sommerfeld model.

He had to modify this equation, remove the relativistic part, and use the remaining non-relativistic equation to calculate the spectral lines of hydrogen atoms. It is very difficult to analyze this differential equation. With the help of friend mathematician Herman Weil, he copied the exact same answer as Bohr's model. Therefore, he decided not to publish the relativistic part for the time being, but only to write a paper on the non-relativistic wave equation and the spectral analysis results of hydrogen atoms. 1926, he officially published this paper.

This paper quickly caused a shock in the quantum academic community. Planck said, "He read the whole paper, just like a child who has been puzzled by a riddle for a long time and is eager to know the answer, and now he finally hears the answer." Einstein praised that this book was inspired by a real genius, like a spring.

Einstein felt that Schrodinger made a decisive contribution. Because Schrodinger's wave mechanics involves familiar wave concepts and mathematics, rather than abstract and unfamiliar matrix algebra in matrix mechanics, quantum scholars are willing to start learning and applying wave mechanics. George Uhlenbeck, the discoverer of spin, exclaimed: "The Schrodinger equation has brought us great relief!" Wolfgang Pauli believes that this paper should be regarded as the most important work in the near future.

The Schrodinger equation given by Schrodinger can correctly describe the quantum behavior of wave function. At that time, physicists didn't know how to explain the wave function. Schrodinger tried to explain the absolute square of wave function by charge density, but he failed. 1926, born put forward the concept of probability amplitude, which successfully explained the physical meaning of wave function.

However, Schrodinger and Einstein share the same view, and they do not agree with this statistical or probabilistic method and its accompanying discontinuous wave function collapse. Einstein thought that quantum mechanics was a statistical approximation of decisive theory. In the last year of Schrodinger's life, in a letter to Born, he made it clear that he did not accept the Copenhagen interpretation.

References:

Schrodinger Equation in Baidu Encyclopedia

What do you want to know about Schrodinger's law?

Schrodinger theorem is as follows:

It is in quantum mechanics that the state of the system can not be determined directly by mechanical values, but by mechanical functions and wave functions, so that it can be determined, so this wave function has become the main object of quantum mechanics. Schrodinger's law can be said to be a basic equation in quantum mechanics.

This law was first put forward in 1926, and was first put forward by the famous Austrian physicist Schrodinger. It mainly describes the state of microscopic particles, which is a law that will appear with the change of time. This state needs to be expressed by wave function. Schrodinger's law is also a differential equation of wave function.

Schrodinger's cat is a thought experiment put forward by the famous Austrian physicist Schrodinger, which refers to keeping a cat in a closed container with a small amount of radium and cyanide. Radium has the possibility of decay. If radium decays, it will trigger the mechanism to break the bottle containing cyanide and the cat will die. If radium doesn't decay, the cat will live.

According to the theory of quantum mechanics, cats should be in the superposition state of dead cats and live cats because radioactive radium is in the superposition state of decay and non-decay. This dead and alive cat is the so-called "Schrodinger cat". However, there can't be a dead cat and a live cat, so you must open the container to know the result.

This experiment tries to explain the principle of quantum superposition on the micro scale from the macro scale, and skillfully links the existing form of microscopic matter after observation with the macro cat, thus verifying the existing form of quantum when it comes to observation. With the development of quantum physics, Schrodinger's cat has also extended physical problems and philosophical disputes such as parallel universe.

What is Schrodinger's law?

Schrodinger's Basic Equation of Quantum Mechanics

. rely on

1926. It is a non-relativistic wave equation. It reflects the law describing the state of microscopic particles changing with time, and its position in quantum mechanics is equivalent to Newton's law of classical mechanics, which is one of the basic assumptions of quantum mechanics. Let the wave function describing the state of microscopic particles be ψ, and the Schrodinger equation of microscopic particles with mass m moving in the potential field u be. Given the initial and boundary conditions and the single-valued, finite and continuous conditions, the wave function ψ can be solved. From this, the distribution probability of particles and the average value of any possible experiments can be calculated. When the potential function u does not depend on time t, the particle has definite energy, and the state of the particle is called steady state. The steady-state wave function can be written as a formula, in which ψ is called the steady-state wave function, which satisfies the steady-state Schrodinger equation and is called the eigenequation mathematically, where E is the eigenvalue and the steady-state energy, and ψ is also called the eigenfunction belonging to the eigenvalue E. ..

Solving particle problems in quantum mechanics often boils down to solving Schrodinger equation or stationary Schrodinger equation. Schrodinger equation is widely used in atomic physics, nuclear physics and solid physics, and the results of solving a series of problems such as atoms, molecules, nuclei and solids are in good agreement with reality.

Schrodinger equation is only applicable to non-relativistic low-speed particles, not included.

What is the definition of Schrodinger's law? Apply?

"Schrodinger equation is also called Schrodinger wave equation. In quantum mechanics, the state of the system is not determined by the value of mechanical quantity, but by the function of mechanical quantity, that is, wave function, so wave function has become the main object of quantum mechanics research. How the probability distribution of mechanical quantities changes with time can be solved by solving Schrodinger equation of wave function. This equation was put forward by Austrian physicist Schrodinger in 1926. It is one of the most basic equations in quantum mechanics, and its position in quantum mechanics is equivalent to that of Newton's equation in classical mechanics.

Schrodinger equation is the most basic equation and a basic hypothesis of quantum mechanics, and its correctness can only be determined by experiments. "-quoted from Baidu Encyclopedia.

Mainly used in microphysics. If the landlord does not study quantum physics, these equations can hardly be applied to practice. However, there are some realities that cannot be explained by the concept of classical mechanics. For example, the electromagnetic process of a moving object is inconsistent with the relativity principle followed by Newtonian mechanics. Einstein discovered and solved this problem, but "genius" spent the rest of his life trying to organically combine macro and micro physics with the concept of "unified field theory" and finally ended in failure. This theory is also considered as "the most fundamental principle of the change of everything in the world". It is not enough for human beings to explore this principle only by relying on a few "geniuses".

In the expression of the equation, time and space are completely divided, thus the steady-state equation is transformed into dynamics, and finally the wave function of ions can be completely expressed.

Schrodinger, as his cat said, the process of quantum superposition state cannot be determined, and we can only observe the results. It's like: I'm not sure where I am at home. When you look at me, I suddenly appear somewhere-living room, dining room, kitchen, study or bedroom. But before you look at me, I hide at home like a cloud, wandering between walls. When you realize that you need to see me, I will "answer and show up". In order to explain such uncertainty, Schrodinger used a second-order partial differential equation to explain his view of the micro-world, that is, "we can't determine the location of the ion until it is observed by us, and the probability of appearing in this location is expressed by an equation."

What is Schrodinger's law?

Schrodinger's law is Schrodinger's cat, and it is a thought experiment designed by Schrodinger, aiming at mocking the statement that human consciousness has a special and unique position. Focus, sarcasm, or irony.

If Copenhagen physicists think that human consciousness has a special position, then according to Schrodinger's experimental operation, a dead and alive cat will be created, and the dead and alive cat is obviously absurd. Therefore, Schrodinger suggested that human consciousness determines the collapse of wave function, which is absurd, and so is Einstein.

Schrodinger's cat law is an uncertain experiment and is also famous. This experiment is about Schrodinger putting a cat in a black box. After a long time, it is unknown whether the cat is dead or alive. So you must look inside the box before you can draw a conclusion. In this way, the life and death of a cat depends on a glance, and then it can be decided, which is a bit confusing and unpredictable. So it is easy to misunderstand and understand the wrong meaning.