You know, there were some people, sort of old allies of Einstein's who were very happy with it. Schrodinger being sort of at the top of that list. And in fact, in an attempt to clear up some of the misunderstandings that people were having about the EPR paper, Schrodinger publishes the thought experiment known
The correct equation is the energy momentum relation from special relativity. - Schrodinger's equation is not consistent with the theory of relativity, so it's... Technically, it's not right.
And that's the spooky action at a distance that he invented. Schrodinger said, what you're telling me, Mr. Bohr, is that when I open the box, before I opened the box, the cat was in a superposition of awake or asleep.
And it's a subject that continues to intrigue and baffle mainstream scientists. Schrodinger was a giant of theoretical physics, and this was a very difficult subject, and he is rightly given the credit along with Heisenberg and Dirac for founding it.
and many people fled, some to work on the Allied war effort. Schrodinger, who was Austrian, also fled. But instead of joining the Allied war effort, he settled in Dublin.
So he made his equation ugly for 10 years. Schrodinger was a man that Einstein really loved because of his personal life.
So he made his equation ugly for 10 years. Schrodinger's wife used to reward him when he had great results.
So he made his equation ugly for 10 years. Schrodinger had gotten a job in Dublin, of all places.
So he made his equation ugly for 10 years. Schrodinger was involved a little bit with this notion of Heisenberg's cat, that if there's no way, whatsoever, to predict if a certain particles
But the two levels can be compatible with each other. Schrodinger said that life is something that keeps moving long after it should've stopped.
And then this came along-- quantum theory. Schrodinger's cat, et cetera, Heisenberg's Uncertainty Principle, which has now shifted fundamentally on how everything in the world works. I'm sure some of you in quantum computing, quantum biology, which is fascinating stuff going on there.
And in fact, in an attempt to clear up some of the misunderstandings that people were having about the EPR paper, Schrodinger publishes the thought experiment known as Schrodinger's cat, sort of back up Einstein and show the kind of problem that he and Einstein had with quantum physics. Or meanwhile, it's like, oh my God, what?
For example, take the element gold. The Schrodinger equation suggests that it should be a silver gray color, just like all the other metals. But it's not, I mean, it's gold.
And that's the spooky action at a distance that he invented. the Schrodinger equation. And there are ongoing experiments to do exactly these things.
And so common sense tells us that Schrodinger's cat is either alive or dead inside this box. And Schrodinger gave a scenario where they put some radioactive material in the box, within the cat-- with the cat, so that within an hour, it would have a 50% chance of being alive and 50% chance of being dead.
Might there be some sort of laws of life? And Schrodinger was open minded about this. He said that one must be prepared to find a new type of physical law prevailing in it.
Sometimes when we go and look for a thing, the wave function of that thing suddenly doesn't obey the Schrodinger equation anymore. The Schrodinger equation is temporarily suspended when we make a measurement, and instead, the wave function collapses. All those numbers scattered across all of space, they go to zero everywhere except in the place where we found the object.
It's a talk on quantum physics. So Schrodinger put this together in 1935. He said, OK, say that you take a cat and a bunch of equipment.
Which means that the hammer falls and doesn't fall, the cyanide is smashed and doesn't smash, and the cat is dead and alive until we open the box. And Schrodinger-- here he is-- said, this is ridiculous. Maybe subatomic particles can be in more than one place at once, but cats are definitely not both dead and alive until we open the box.
and many other physicists besides. Erwin Schrodinger, Louis de Broglie, a wide collection of physicists. And over the course of the first quarter of the 20th century, they developed the first real theories of quantum mechanics.
But instead, the modular squared can give us the probability of finding the particle in a specific location at a specific time. - Deriving the Schrodinger equation is actually surprisingly simple. Just start by writing down the total energy, which, for a free particle, is just its kinetic energy, 1/2 mv squared.
But what's even more beautiful is that if you look at this, Dirac's equation isn't just first order in time derivatives, it's also first order in spatial derivatives. Whereas the Schrodinger equation was second order in spatial derivatives. So you might wonder, "Well, why does that matter?" Well, because not only does going first order in all derivatives solve the second-order time derivative problem
And it becomes really important if you start thinking about relativity, where time and space are not separate dimensions, they're intertwined in a four dimensional spacetime. And while the Schrodinger equation had just a single component wave function, to make the wave function work with these 4x4 matrices, in Dirac's case, you actually need a wave function that has four components.
Yeah. And I'd love to understand the Schrodinger's bridge view of intelligence. I'm just picturing Schrodinger's cat walking over Schrodinger's bridge and trying to figure that out. But let's move on from that.
Child support payments-- this guy, stay away from this guy. This is the famous Schrodinger cat.
But if you think instead of a particle going through holes, a cat having two possibilities. So the whole Schrodinger version was the cat was dead or alive, but it's not very nice. So if we think the cat could be asleep or awake, the theory forces you to say that it's
It's made by atoms, whatever you want. So that's exactly Schrodinger's cat.
So the energy of the wave is proportional to how fast it evolves. That's the Schrodinger equation. That's the entire thing.
Do you want to know what wave functions do? They obey the Schrodinger equation, and that's it. That's all you need to know.
And this was actually invented or at least appreciated by Einstein. Einstein and Schrodinger wrote letters back and forth. Because despite playing fundamental roles in the origin of quantum mechanics, neither Einstein nor Schrodinger liked how quantum mechanics was going.
And that's the spooky action at a distance that he invented. The gas Schrodinger decided to contemplate was cyanide.
And that's the spooky action at a distance that he invented. The point of the Schrodinger's cat experiment was not to go, like, look how weird quantum mechanics is.
And that's the spooky action at a distance that he invented. Just obey the Schrodinger equation.
And that's the spooky action at a distance that he invented. Just ask what the Schrodinger equation would predict for this particular setup.
And that's the spooky action at a distance that he invented. It obeys the Schrodinger equation.
And that's the spooky action at a distance that he invented. Wave functions in the Schrodinger equation, and that's it.
They have rather extraordinary properties, and indeed rather baffling properties. And what Schrodinger was interested to know was whether life, living organisms, could be explained by physics. And then the question was, could it be explained by known physics, or did it need any new physics?
So Bohr and Heisenberg, two of the other founders of quantum physics, they profoundly disagree with Schrodinger, as did many of Schrodinger's contemporaries and many of the other people who put together quantum physics. They said no. This is wrong.
How do we say when wave functions collapse? When does the Schrodinger equation apply, and when is it suspended? The standard answer that the Copenhagen Interpretation gives to all of these thorny questions at the heart of the theory is somewhat unsatisfying.
So he made his equation ugly for 10 years. So Einstein created Schrodinger's cat, didn't he?
So he made his equation ugly for 10 years. They said about Schrodinger when he came to Oxford in the 1930s, "To arrive at Oxford with one wife is bad enough,
So he made his equation ugly for 10 years. So he liked Schrodinger, and the two men were really good friends.
So he made his equation ugly for 10 years. So he respected Schrodinger.
So we have to have a way of saving that order, marking sure that order endures, perseveres. So what Schrodinger said in some sense, one of the tricks that life had figured out to help order grow and to help information grow was to store that information in aperiodic crystals. Think of proteins.
- According to quantum mechanics, at the smallest scale, particles behave like waves. And this behavior is governed by the Schrodinger equation. The solution to this equation is called the wave function psi.
The probability of finding a particle in a given area could no longer be simply described by the modulus of the wave function, as it was for the Schrodinger equation. For the Klein-Gordon equation, a new equation was needed to describe the probability using the wave function, which takes a while to derive,
Now, we can substitute those matrices back into Dirac's linear equation, then rewrite the three momenta and alpha coefficients as vectors. And just as we did with the Schrodinger and Klein-Gordon equations, we can use the energy and momentum operators to make both sides act on the wave function. If we substitute those operators in, we get Dirac's final equation for the relativistic free electron.
think of where I can talk about intelligence in the way that we might talk about heat. But that would be to look at Schrodinger's bridge, which is a specific abstraction of I've got probability at time 0, probability at time 1. I've got physics that allows me to move the probabilities.
It's made by atoms, whatever you want. So it's like the Schrodinger cat is alive, but he's also asleep, and he's also this.
So if you have a chunk of uranium-- it's radioactive-- it will actually emit electrons and alpha particles and things like that. And you can use the Schrodinger equation to say, well, what does the wave function of the emitted electron look like? The answer is, it looks like a spherical wave.