That is a difference, right. In quantum mechanics, the particle can be at locations forbidden for a classical particle (as it does not have enough energy).or example particle could be in the space part where whole energy of the particle is less then potential.
Potential energy in quantum mechanics is a measure of the energy that a particle has due to its position or configuration in a given system. It is represented by the potential energy function, which describes the relationship between the particle's position and its energy.
In quantum mechanics, potential energy plays a crucial role in determining the behavior of a particle in free fall. As the particle falls, its potential energy decreases and its kinetic energy increases. This relationship is described by the law of conservation of energy, which states that the total energy of a system remains constant.
Yes, potential energy can be negative in quantum mechanics. This occurs when the particle's energy is lower than its reference energy level. In this case, the potential energy function will have a negative value, indicating that the particle is in a bound state.
A potential well is a region in space where the potential energy is lower than its surroundings. In quantum mechanics, a particle in a potential well will be confined to the well and will not be able to escape unless it gains enough energy to overcome the potential barrier. The shape of the potential well determines the energy levels that the particle can occupy, and thus affects its behavior.
Quantum tunneling is a phenomenon where a particle can pass through a potential barrier even though it does not have enough energy to do so classically. This is possible because in quantum mechanics, there is a probability of finding the particle in a region where its potential energy is higher than its kinetic energy. Thus, the particle can tunnel through the barrier and continue its motion, demonstrating the wave-like nature of particles in quantum mechanics.