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He stayed there until 3 May of the same year. After the visit, Landau always considered himself a pupil of Niels Bohr and Landau's approach to physics was greatly influenced by Bohr.
After his stay in Copenhagen, he visited Cambridge mid , where he worked with P. Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in Kharkiv , Ukraine , sometimes referred to as the "Landau school".
In Kharkiv, he and his friend and former student, Evgeny Lifshitz , began writing the Course of Theoretical Physics , ten volumes that together span the whole of the subject and are still widely used as graduate -level physics texts.
Landau developed a famous comprehensive exam called the "Theoretical Minimum" which students were expected to pass before admission to the school.
The exam covered all aspects of theoretical physics, and between and only 43 candidates passed, but those who did later became quite notable theoretical physicists.
In , Landau computed the Chandrashekhar limit ;  however, he did not apply it to white dwarf stars. On 27 April , Landau was arrested for comparing Stalinism to Nazism,   and he was held in the NKVD 's Lubyanka prison until his release on 29 April , after the head of the institute Pyotr Kapitsa , an experimental low-temperature physicist, wrote a letter to Joseph Stalin , personally vouching for Landau's behavior, and threatening to quit the institute if Landau were not released.
Landau led a team of mathematicians supporting Soviet atomic and hydrogen bomb development. He calculated the dynamics of the first Soviet thermonuclear bomb, including predicting the yield.
For this work Landau received the Stalin Prize in and , and was awarded the title " Hero of Socialist Labour " in Landau's accomplishments include the independent co-discovery of the density matrix method in quantum mechanics alongside John von Neumann , the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second-order phase transitions, the Ginzburg—Landau theory of superconductivity, the theory of Fermi liquid, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, the two-component theory of neutrinos, and Landau's equations for S matrix singularities.
Landau received the Nobel Prize in Physics for his development of a mathematical theory of superfluidity that accounts for the properties of liquid helium II at a temperature below 2.
In , Landau married Kora T. Drobanzeva from Kharkiv;  their son, Igor, was born in Landau believed in " free love " rather than monogamy, and encouraged his wife and his students to practise "free love"; his wife was not enthusiastic.
Landau was an atheist. On 7 January , Landau's car collided with an oncoming truck. He was severely injured and spent two months in a coma.
Although Landau recovered in many ways, his scientific creativity was destroyed,  and he never returned fully to scientific work.
His injuries prevented him from accepting the Nobel Prize for physics in person. Throughout his whole life Landau was known for his sharp humour, which can be illustrated by the following dialogue with a psychiatrist P , who tried to test for a possible brain damage while Landau L was recovering from the car crash: In former students and co-workers of Landau founded the Landau Institute for Theoretical Physics , located in the town of Chernogolovka near Moscow , and led for the following three decades by Isaak Markovich Khalatnikov.
Landau died on 1 April , aged 60, from complications of the injuries sustained in the car accident he was involved in six years earlier.
He was buried at the Novodevichy cemetery. The highest prize in theoretical physics awarded by the Russian Academy of Sciences is named in his honour:.
Landau kept a list of names of physicists which he ranked on a logarithmic scale of productivity ranging from 0 to 5. Albert Einstein was ranked 0.
Landau ranked himself as a 2. David Mermin , writing about Landau, referred to the scale, and ranked himself in the fourth division, in the article "My Life with Landau: Homage of a 4.
A complete list of Landau's works appeared in in the Russian journal Physics-Uspekhi. Consequently he removed his name from numerous publications of his students where his contribution was less significant.
From Wikipedia, the free encyclopedia. Not to be confused with Edmund Landau. The input data recorded the early motion of the ball and spinning wheel before a bet was placed.
A two part article about the book by Bass appeared in Science Digest. The journalist and author Ted Thackrey, Jr.
The article included the following anecdote. Of course, one should never evaluate a full complex career based one article or story [TTLT]:.
Their sponsors had nothing exciting to say. He demanded his editors never again put his name on anything Thackrey touched. Sent by an Australian reader, who believed he read somewhere that Einstein had visited a casino and expressed interest in the mechanics of the roulette wheel.
I was not able to confirm the story. In conclusion, the earliest evidence of the saying was from the pen of Ted Thackrey, Jr. QI suspects that the roulette anecdote and quotation are part of a tall tale to go along with a larger-than-life gambler.
QI does not know if the tale was created by Dandolos or Thackrey. Yet, the reader is free to come to another conclusion. Peach, Page 1, Toledo, Ohio.
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Yet, the reader is free to come to another conclusion. Peach, Page 1, Toledo, Ohio. Google Books full view link.
According to a legend in the gambling world Albert Einstein once visited a Las Vegas casino and after observing the action around the roulette wheel he said: You cannot beat a roulette table unless you steal money from it.
Any truth to this story? Then he cashed in, pocketed his winning and grinned at the scientist. In the book the description of the roulette anecdote was extended, and after Dandolos won three times Einstein was apologetic [AEBG]: Here are additional selected citations in chronological order.
Of course, one should never evaluate a full complex career based one article or story [TTLT]: They decide that a certain number of bounces will be defined as a second, and they make the machine change the seconds counter every time it has detected that number of bounces.
Every time it changes the seconds counter it also flashes a light out through a porthole under the machine. So somebody out taking a space walk will see the light flashing every second.
We know the speed of light, and we can easily measure the distance between the machine and the mirror and multiple that to give the distance the light travels.
So we have both d and r , and we can easily calculate t. The people on the spaceship compare their new "light clock" with their various wrist watches and other clocks, and they are satisfied that they can measure time well using their new light clock.
Now this spaceship happens to be going very fast. It is not coming to Earth to visit, but it does happen to fly over the North Pole. There is a science station with a telescope at the North Pole.
They see a flash from the clock on the space ship, and then they see another flash. Only the flashes do not come a second apart. They come at a slower rate.
The reason is that the situation is like the basketball player on the airplane. The ball is pushed downward by the player's hand.
That is the light in the spaceship's machine firing off a burst toward the mirror. The ball hits the floor and bounces.
That is like the light hitting the mirror and being reflected. The ball returns to the player's hand. That is like the light hitting the machine and triggering a new burst of light.
Note that the distance between the place on the ground where the basketball is seen to hit the floor and the distance on the ground where the basketball is seen to return to the basketball player's hand is some great distance.
Depending on how fast the plane is going, it might be a kilometer or even a mile away. So the man on the North Pole sees the light flash on the side of the spaceship when it is thousands of miles away, and then sees the next flash when the spaceship has gotten thousands of miles closer.
That is why the clock on the spaceship is not flashing once a second for the Earth observer. It is a famous equation in physics and math that shows what happens when mass changes to energy or energy changes to mass.
The "E" in the equation stands for energy. Energy is a number which you give to objects depending on how much they can change other things.
For instance, a brick hanging over an egg can put enough energy onto the egg to break it. A feather hanging over an egg does not have enough energy to hurt the egg.
There are three basic forms of energy: Two of these forms of energy can be seen in the examples given above, and in the example of a pendulum.
A cannonball hangs on a rope from an iron ring. A horse pulls the cannonball to the right side. When the cannonball is released it will move back and forth as diagrammed.
It would do that forever except that the movement of the rope in the ring and rubbing in other places causes friction , and the friction takes away a little energy all the time.
If we ignore the losses due to friction, then the energy provided by the horse is given to the cannonball as potential energy.
It has energy because it is up high and can fall down. As the cannonball swings down it gains more and more speed, so the nearer the bottom it gets the faster it is going and the harder it would hit you if you stood in front of it.
Then it slows down as its kinetic energy is changed back into potential energy. When energy moves from one form to another, the amount of energy always remains the same.
It cannot be made or destroyed. This rule is called the "conservation law of energy". For example, when you throw a ball, the energy is transferred from your hand to the ball as you release it.
But the energy that was in your hand, and now the energy that is in the ball, is the same number. For a long time, people thought that the conservation of energy was all there was to talk about.
When energy transforms into mass, the amount of energy does not remain the same. When mass transforms into energy, the amount of energy also does not remain the same.
However, the amount of matter and energy remains the same. The "m" in Einstein's equation stands for mass.
Mass is the amount of matter there is in some body. If you knew the number of protons and neutrons in a piece of matter such as a brick, then you could calculate its total mass as the sum of the masses of all the protons and of all the neutrons.
Electrons are so small that they are almost negligible. Masses pull on each other, and a very large mass such as that of the Earth pulls very hard on things nearby.
You would weigh much more on Jupiter than on Earth because Jupiter is so huge. You would weigh much less on the Moon because it is only about one-sixth the mass of Earth.
Weight is related to the mass of the brick or the person and the mass of whatever is pulling it down on a spring scale — which may be smaller than the smallest moon in the solar system or larger than the Sun.
Mass, not weight, can be transformed into energy. Another way of expressing this idea is to say that matter can be transformed into energy.
Units of mass are used to measure the amount of matter in something. The mass or the amount of matter in something determines how much energy that thing could be changed into.
Energy can also be transformed into mass. If you were pushing a baby buggy at a slow walk and found it easy to push, but pushed it at a fast walk and found it harder to move, then you would wonder what was wrong with the baby buggy.
Then if you tried to run and found that moving the buggy at any faster speed was like pushing against a brick wall, you would be very surprised. The truth is that when something is moved then its mass is increased.
Human beings ordinarily do not notice this increase in mass because at the speed humans ordinarily move the increase in mass in almost nothing.
As speeds get closer to the speed of light, then the changes in mass become impossible not to notice. The basic experience we all share in daily life is that the harder we push something like a car the faster we can get it going.
But when something we are pushing is already going at some large part of the speed of light we find that it keeps gaining mass, so it gets harder and harder to get it going faster.
It is impossible to make any mass go at the speed of light because to do so would take infinite energy.
Sometimes a mass will change to energy. Common examples of elements that make these changes we call radioactivity are radium and uranium.
An atom of uranium can lose an alpha particle the atomic nucleus of helium and become a new element with a lighter nucleus.
Then that atom will emit two electrons, but it will not be stable yet. It will emit a series of alpha particles and electrons until it finally becomes the element Pb or what we call lead.
By throwing out all these particles that have mass it has made its own mass smaller. It has also produced energy. In most radioactivity, the entire mass of something does not get changed to energy.
In an atomic bomb, uranium is transformed into krypton and barium. There is a slight difference in the mass of the resulting krypton and barium, and the mass of the original uranium, but the energy that is released by the change is huge.
One way to express this idea is to write Einstein's equation as:. The c 2 in the equation stands for the speed of light squared.
About 60 terajoules were released by the atomic bomb that exploded over Hiroshima. The idea of a Bose-Einstein condensate came out of a collaboration between S.
Einstein himself did not invent it but, instead, refined the idea and helped it become popular. One for each bed and one for dragging around the house.
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