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The systaem will not be in state ##\chi_+^{(x)}## at t = T. As TSny points out in the above post, the evolution between t = 0 and t = T is dictated by the magnetic field only in the z direction. You should calculate |ψ(T)> from that, and then let that evolve from t = T to t = 2T with the magnetic field only in the y direction.Bobs said:Do you see any mistakes at the final answer? And yes, I'm assuming that the system in state at time ##t=T##. Staying tuned for your sincerely reply!
That answer can't possibly be correct. Probabilities are unitless.Bobs said:I found the probability as ##\dfrac{B^2}{2}## is that correct?
The quantum version of Larmor precession is a phenomenon that occurs when a quantum system with a magnetic moment is placed in a magnetic field. It describes the precession, or spinning, of the system's magnetic moment around the direction of the magnetic field.
In the classical version of Larmor precession, the magnetic moment can have any orientation with respect to the magnetic field. However, in the quantum version, the magnetic moment can only be aligned in one of a few discrete orientations, determined by the quantum properties of the system.
Larmor precession is important in quantum systems because it provides a way to measure the magnetic properties of these systems. By observing the precession of the magnetic moment, researchers can gain insight into the quantum properties of the system.
No, the quantum version of Larmor precession is a phenomenon that occurs at the scale of individual atoms and subatomic particles. It cannot be observed in everyday life, but it is an important concept in quantum physics and has practical applications in fields such as magnetic resonance imaging (MRI).
The quantum version of Larmor precession is used in technologies such as MRI and nuclear magnetic resonance (NMR) spectroscopy. In these applications, the precession of the magnetic moment is used to create detailed images or to analyze the chemical composition of a substance.