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dEdt
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Angular momentum is defined with respect to a certain origin, right? Well, what's stopping me from changing my origin ever so slightly, so that the angular momentum changes ever so slightly?
Oh fair enough ... though if I measure angular momentum, then use identical apparatus in a different position (i.e. translated, but not rotated) on the same particles, doesn't that just give the same measurement? In fact, would we normally expect a mere translation of axis to change the projections of a vector? Wouldn't a rotation, instead, be more illustrative for OPs question? Or maybe I have the wrong question?We're not talking about a rotation, the question posed was, what happens to L under a translation?
Angular momentum is a physical quantity that measures the rotational motion of an object around an axis. It is quantized because it can only exist in certain discrete values, as observed in experiments, rather than being able to take on any value like other continuous quantities.
Angular momentum is quantized due to the properties of the quantum mechanical system. In quantum mechanics, angular momentum is represented by operators that have discrete eigenvalues, meaning that angular momentum can only take on certain values rather than being continuous.
The quantization of angular momentum can be described by quantum numbers, which are labels used to identify the different energy states of a quantum system. The values of the quantum numbers determine the allowed values of angular momentum for a given system.
No, the quantization of angular momentum is a phenomenon that can only be explained by quantum mechanics. In classical mechanics, angular momentum can take on any value, whereas in quantum mechanics it is quantized and can only exist in certain discrete values.
The quantization of angular momentum can have a significant impact on the behavior of particles, especially at the microscopic level. It can dictate the allowed energy levels and transitions of particles, as well as the stability of atoms and molecules. It also plays a crucial role in explaining the properties of subatomic particles such as electrons and protons.