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Well, not really. The atomic bomb didn't really require quantum mechanics to build. Certainly not the gun bomb. That's two hunks of enriched uranium forced together. Implosion was tougher, but mostly a hydrodynamics problem. H-bombs required much more theory.

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Yes, you probably don't need QM to design a gun bomb, but to build one you do need 64kg of enriched U-235 and for that you need a Manhattan Project and for that you need Einstein to write a letter to the President and for that you need Bohr & Wheeler to write "The Mechanism of Nuclear Fission" in 1939 and confidently explain that it could work and for that you need QM.

And they could only produce a single gun bomb. The other one had to be Plutonium, meaning it had to have a neutron trigger, IIRC that involved Bohr. It took two bombs to end the war.

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