The History of Quantum Physics It was a sunny afternoon next to an apple tree. Einstein: (throwing apple in air to himself) I wonder if the energy from this apple increases gradually or in series of jumps. Enter Max Planck Planck: I have been testing this exact phenomenon and concluded that energy equals a fixed quantity h, later named after me, times frequency of each quantum or particle and in this situation, an apple. Einstein: Who are you exactly? You don’t happen to go by Max Planck do you? Planck: Yes that is me. And you are Albert Einstein. Einstein: Yes of course, I didn’t think you would be so tall and bald. Planck: I didn’t think you were so short and have hair everywhere. Einstein: I would rather have a full head of hair than be tall but anyway, it was your work that I found astounding and very helpful. Planck: If you’re talking about my quantum equation on energy well it was something I never quite believed in but if it is something that has brought you success than I am glad for it. Einstein: I understand your frustration on the subject as experimentation is the only proof for a theory. Enter James Clerk Maxwell Maxwell: If it wasn’t for my theory based on electromagnetic radiation, we wouldn’t be where we are today. I introduced that optics, electricity, and magnetism all have a specific wavelength and frequency. Einstein: Sir Maxwell, if I may call you that, you did do something great but you had no idea what this discovery would do. It was thanks to me and Planck and other hard workers that gave reason for this discovery and that is quantum theory. Maxwell: BAH! Everybody expands on ideas that are not yet truly determined. I Expanded on Rudolf Clausius’s mathematical approach on thermodynamics. If not for him I wouldn’t have my discovery and it not for me there would be no foundation for you and Planck to build upon. Planck: Ahhh! James Clerk Maxwell. If not for your inspiring work in thermodynamics, who knows if I would have pursued music or the mysteries of quantum physics. I have nothing but thanks and respect for what my predecessors have done for quantum physics. Einstein: For example, it was the theories and discoveries of Ludwig that were later proven incorrect by you, Planck. You see, our predecessors are important and vital but we are, if not just as important, more important because we smooth out and polish those rough edges on earlier theories. You did just that and discovered the polished formula of a blackbody. Maxwell Exists Planck: Even those ideas that are polished can be disagreed upon. You described energy as it relates to light quantum; I described it as, energy of the atoms in a cavity as they interact with light. Einstein: I also stated that radiation consists of quanta, or in other words in whole numbers. That your equation not only explains electromagnetic radiation but its effect on particles’ energy. Both exit to an oven Einstein: I concluded in a paper of mine that when a light shines on a metal, individual particles retain that energy. When the energy is enough, electrons are ejected. The electrons that are ejected withhold the exact amount of energy it took for the light wave to eject that electron. Planck: I do remember publishing that paper and I want to tell you I didn’t agree with it. Einstein: Also, you may have not agreed on me saying that each atom in the cavity had a quantized energy. Also if each atom has a fixed frequency than the energy of the vibrating atom can only come in whole number multiples of Planck’s constant. This became known as the photoelectric law. Planck: On the contrary, I believed that the energy was equal to all of the atoms’ divided by Maxwell’s energy equation. At first, I did not want to believe that energy is transferred to the atoms in quanta and that the radiation itself comes in quanta. Einstein: Even after all my experiments though I did not want to fully admit that the quanta exists but rather say the radiation acts as if it does have a quanta. Enter Neils Bohr Bohr: According to the type of atom, different wavelengths and frequencies affect different atoms. For example light affected the hydrogen atom and its energy was absorbed and reflected. Einstein: Yes! Your theory of the atom correctly explains Planck’s cavity radiation law. Bohr: Not only did my theory help you to explain Planck’s cavity law, but I was also able to support the atomic structure my friend, Ernest Rutherford, proposed through his gold foil experiment. Enter Werner Heisenberg and Erwin Schrodinger Heisenberg: I understand lately that you’re experiment has only worked with hydrogen atoms. I have introduced the matrix theory which replaces classical commuting variables with noncommuting variables. Schrodinger: Yes, it was a rather long formula. I simplified it soon enough and also introduced a second-order differential equation for a wave function. Although I could not explain the meaning of this function. Enter Louis De Broglie and Max Born Born: The wave function is quite peculiar but I managed to determine its true nature . The absolute value of this wave function expresses a probability amplitude for the outcome of a measurement. Bohr: I believe that maybe the quantum jumps and its relation with energy states that would cause the wave like behavior. De Broglie: It was intriguing for me to search what waves were associated with on Earth. But I do not believe the energy states explains its wavelike behavior. Einstein: Interesting you ask that because I had the exact opposite problem in which I was trying to describe how the characteristics of waves vary with energy. Something measurable with waves. De Broglie: I am familiar with that discovery and I also used the help of Maxwell’s equation to conclude whether every particle had wave characteristics or not. Einstein: It was a revolutionary theory and I enjoyed reading about your discovery. De Broglie: Thank you, what I did to discover the answer to this question was, at first, a particle with no net force. Once the particle starts to gain momentum the wavelength shortens and also the wavelength depended on Planck’s constant. Planck: In short, electrons should act just like light and water waves? De Broglie: Correct. Experimenters should be able to detect peaks and troughs when shooting electrons out of a light. Enter Feynman Feynman: And so wraps up the basics of quantum mechanics. Each of the theories and experiments done all connect to one formula E=hf. You should all join my lecture on the nature of Particles and waves. All exit to Feynman presentation on double slit experiment Feynman: We all agree that particles come in lumps, correct? What should we use to represent particles in our experiment? Lumps basically represent something with definite size and shape. De Broglie: Bullets shot from a gun should be a fine representation. Feynman: Very well. Bullets it is. Now picture a board with only two slits in between the gun and the board catching all the bullets that make it through. Who can predict where the board is going to catch the bullets? Einstein: I would assume that, for bullets, that exactly behind each of the slits is where the most bullets would be caught. The farther away from those 2 points, bullets decrease because the probability of the bullet going through at smaller angles decreases. Feynman: Correct! Also just keep in mind that even if we were to close the first slit, collect bullets, and do the same with the second slit closed and first slit open, we see that the combined results equal the results as if both of the slits are open at once. Bohr: If I know particles like I think I know particles they wouldn’t particularly act so uniformly. Feynman: Lets be patient now Bohr. Now If I replaced the machine gun with an object that is jiggling up and down at a constant rate and assume it is a tank filled with water. Once the jiggling begins the water waves are produced. Once the waves go through the slits and hit the last board, the waves show results of troughs and peaks. De Broglie: Ahh! Just like the light waves I had tested! Feynman: You scientists need to let me finish. The last test was to shoot electrons just as the bullets. I detected that they acted just as waves and showed interference. Now we tried to detect the electrons flying through each slit to determine how and why they act as waves. To do this we added a light behind the board with two slits. The electrons suddenly acted as the bullets did and no longer interfered with one another. All Scientists: Unbelievable!