Hello Warstek friends, meet again with me Vani Sugiyono.A�This time we will explore thoroughly how Einstein’s unique way as he proves the truth of Planck’s postulate.A�Want to know more about how Einstein proves Planck’s postulate, then please read this article to the end.
We have previously discussed little about the invention of Planck’s energy quanta equations.A�But in the article mentioned that Planck still hesitant and unable to prove his own equation, even he was forced to issue postulates to support his idea.A�Based on KBBI, postulates are assumptions that become the base of the proposition that is considered true without the need to prove it.A�Read “A�Slicing Thin Energy, Breaking Down Classical PhysicsA�”.
Well, this time we’re going to discuss how Einstein proved Planck’s idea without having to do complicated experiments in the laboratory, but just by daydreaming on the sidelines he was hanging clothes with his wife Mileva and his infant son.
JP McEvoy (2005) in one of his books entitledA�Introducing Quantum Theory of a Graphic Guide to Science’s Most Puzzling DiscoveryA�, he describes Einstein was hanging clothes while daydreaming and occasionally talking with Mileva who was holding their infant child.A�It was in 1905, in aA�smallA�flatA�on 49th St. Kramergasse Street, Bern, Switzerland, Albert Einstein was hanging clothes while daydreaming of the viral problems that were viral at that time, theA�Planck postulateA�.A�Secretly Einstein has developed himself a method of fluctuation used to calculate compressed entropy changes.
At that time, Einstein used Boltzmann’s very famous entropy entity, but was hated by Max Planck.A�The equation states that the entropy change in the Law of Thermodynamics is directly proportional to Boltzmann’s constant (A�kA�) and is also proportional to the natural logarithm value of the probability representation at the end and the initial conditions (the ratio of the final and the beginning of the power ratioA�NA�) as follows:
In my bookA�,A�Quantum MechanicsA�, it has been described in detail how the above equations underlie Planck’s postulate proof.A�This time we will summarize it, to make it simpler and easier to understand.A�Because the purpose of this article is to be read and enjoyed by all readers.
Okay, Warstek’s friend, Boltzmann’s entropy equation above can be simplified by considering that the probability representation in the final and the initial conditions is the ratio of the final and the final power ratio ofA�NA�, it will be obtained as follows:
Einstein also stops here and stores this equation first.A�Then Einstein chose not to involve Planck’s idea in his calculations, for he preferred to see physics as a phenomenology rather than view it as a mathematical equation, much less Planck’s idea has not been proven.A�It could be wrong postulatnya.A�That’s why Einstein prefers to use the proven Wien equation at high frequency.A�Although this equation lacks, this equation is much more radiant about radiation of black objects in phenomenology.A�Einstein also started from the Wien equation as follows:
From the above equation, ie with the properties of natural logarithms, Eintein also obtained theA�TA�equationA�as follows:
After that Einstein fell silent and continued his daydreaming.A�It again revolves on the entropy equation according to the Second Law of Thermodynamics which can be expressed by:
WithA�QA�in the above equation is the heat which can be defined as the sum of the energies inA�UA�andA�PdVA�as follows:
Then enter the equationA�QA�andA�TA�above on the entropy equation, by looking atA�PdV = 0A�for theA�isichhoricA�caseA�, the equation of entropy change will be obtained as follows:
The more detailed descriptions of the above equations are inA�Quantum MechanicsA�booksA�.A�To save time, we combine the two equations of entropy change above, that is derived from the Boltzmann equation and derived from the Wien equation, The Thermodynamics I Law, and the Thermodynamics II Law, it will be obtained:
Based on the nature of natural logarithm, it will be obtained the following equation:
Then, from the equation above Einstein found that the energy in U can be expressed as the product of the multiplication ofA�NA�,A�kA�, the unknown parameter, andA�fA�, as follows:
Since the energy in theA�UA�is the total energy, then for every single radiation energyA�EA�is the quotient betweenA�UandA�NA�, ieA�EA�=A�U / NA�.A�So Einstein was surprised that he managed to find that a single radiation equation becomes simpler:
However, the problem remains one unknown parameter.A�Einstein was confused.A�The parameter is worth what.A�Luckily he has a genius wife, Mileva.A�Not many know indeed, that actually Mileva is far more genius than Einstein.A�But, the more popular it is Einstein.A�Mileva, the tough woman who always accepts Einstein as she is despite living in a small flat, says to her husband to see the planck job so she finds the answer to the unknown parameter.A�Finally, Einstein, who did not want to see Planck’s work at all, was devastated to see what the parameters were worth.A�The parameter values a��a��are:
Then Einstein is shocked, if the parameter is inserted into the single radiation energy equation he finds above, he will find that a single radiation energy can simply be written as a result of the multiplication of constantsA�hand frequencyA�fA�, as follows:
Is not this a Planck postulate.A�Finally by accident, just by daydreaming and doing homework that is drying clothes, Einstein also managed to prove Planck’s postulate.A�What a unique new idea.
However, Einstein’s journey was not finished until here, because after successfully proving Planck’s idea, he also found a new idea of a��a��his that eventually led to the Nobel prize.A�What do you think of that idea?A�What is the Theory of Relativity?A�Apparently not, Einstein was awarded the Nobel Prize not because of the theory of Relativity, but because of the idea inspired by the proof of this Planck postulate.A�What idea, hayo?A�Want to know the answer?A�Please find the answer in my next article entitled “The Simple Formula That Makes Einstein Get a Nobel Prize”.
- Sugiyono, Vani.A�2016.A�Quantum MechanicsA�.A�Yogyakarta: CAPS.
- Beiser, Arthur.A�2003.A�Consepts of Modern PhysicsA�.A�New York: McGraw-Hill Companies.
- McEvoy, JP and Zarate, Oscar.A�2005.A�Introducing Quantum Theory a Graphic Guide to Science’s Most Puzzling Discovery.A�Malta: Gutenberg Press.
- Tipler, Paul A. 1969. Modern Physics.A�New York: Worth Publisher, Inc.
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