Übergangamplitude

Übergangsamplitude refers to a fundamental concept in quantum mechanics that describes the probability of a system transitioning from one quantum state to another. It is a complex number whose squared magnitude represents this transition probability. Mathematically, it is often represented as an inner product of the initial and final states, mediated by an interaction Hamiltonian. The specific form of the Übergangsamplitude depends on the nature of the interaction causing the transition and the properties of the quantum states involved. For example, in atomic physics, Übergangsamplituden are crucial for understanding phenomena like light absorption and emission, where electrons transition between energy levels. In particle physics, they are used to calculate the probabilities of particle decays and scattering processes. The calculation of Übergangsamplituden is a central task in quantum field theory, often involving techniques like Feynman diagrams. A zero Übergangsamplitude implies that the transition between the specified states is forbidden under the given conditions. Understanding and calculating these amplitudes are essential for predicting and interpreting experimental results in various fields of physics.