If the measuring device is constructed such that it measures the velocity, then this device measures the "classical" Bohm velocity. However, such a measuring device does not measure the position of the particle, even though the particle has a definite position too.Gerenuk said:Do you mean if I set up a momentum measuring device at one point, it would measure the "classical Bohm" velocity?
In general, that is correct. The exception is the case in which you have measured the momentum, in which case you can construct the wave function from knowledge of the momentum.Gerenuk said:Do you mean I cannot take the momentum from B and construct the wavefunction from it?
The Bohm interpretation of velocity is a theory proposed by physicist David Bohm that aims to explain the quantum mechanical concept of particle velocity. It suggests that particles have a definite position and velocity at all times, unlike the traditional interpretation which states that particles have a wave-like nature and do not have a defined position or velocity until they are measured.
In the Bohm interpretation, velocity is defined as the rate of change of the position of a particle with respect to time. It is considered to be a fundamental property of particles and is always well-defined, unlike in other interpretations of quantum mechanics where it is dependent on the act of measurement.
In the Bohm interpretation, velocity plays a crucial role in determining the trajectory of a particle. It is believed that particles move along definite paths, also known as pilot waves, that are influenced by the particle's velocity. This allows for a deterministic description of particle motion, which is not possible in other interpretations of quantum mechanics.
The Bohm interpretation of velocity has not yet been experimentally proven and remains a theoretical concept. However, it has been used to develop new mathematical models and simulations that can accurately predict the behavior of quantum systems. This has potential applications in fields such as quantum computing and cryptography.
The Bohm interpretation differs from other interpretations in its fundamental understanding of the nature of particles. It suggests that particles have well-defined positions and velocities at all times, while other interpretations propose that particles have a wave-like nature and do not have a defined position or velocity until they are measured.