Скачать или смотреть Probability Current in QM

What is Probability Current and it's Continuity Equation in Quantum Mechanics is what I discuss in this video lecture.

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In quantum mechanics, the concept of probability current density plays a crucial role in understanding the behavior of particles described by wave functions. Essentially, it represents the flow of probability associated with the motion of these particles through space.

The probability current density provides insights into the movement of particles in quantum systems. For instance, in one-dimensional space, the probability current density can indicate whether a particle is moving to the right or to the left, depending on the sign of J. In three-dimensional space, the vector nature of the probability current density gives more detailed information about the direction and magnitude of particle motion.

Moreover, the probability current density is conserved in quantum mechanics, which means that the total probability flux into a region of space must equal the total probability flux out of that region. This conservation property is analogous to the conservation of mass or charge in classical physics.

00:00 Introduction
03:20 Continuity Equation & Probability Current
20:21 Examples

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