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What is the 'fundamental' maths behind path integrals in QM?
The fundamental mathematics behind path integrals in quantum mechanics (QM) is primarily based on the concept of functional integrals. This approach allows for the calculation of quantum amplitudes by summing over all possible paths a particle can take. The discussion emphasizes the significance of path integrals in understanding quantum field theory and highlights their application in various physical scenarios. For further details, refer to the article in Physics Today, Volume 54, Issue 8.
PREREQUISITESPhysicists, graduate students in quantum mechanics, and researchers interested in quantum field theory and advanced mathematical methods in physics.