Including quantum effects in the dynamics of complex „i.e., large
... the difference between the two paths兲. The importance of the above derivation is not the result itself, for as noted, the classical Wigner approximation has been around a long time, having been obtained from a variety of approaches. The important point is realizing that the classical Wigner model is ...
... the difference between the two paths兲. The importance of the above derivation is not the result itself, for as noted, the classical Wigner approximation has been around a long time, having been obtained from a variety of approaches. The important point is realizing that the classical Wigner model is ...
Laser intensity induced transparency in atom
... effect in the PA process, and therefore the value of C is regarded as a constant and equals to c [29]. The trap-loss probability in PA process is demonstrated in Fig. 2 for different PA laser intensity. The new resonant position is obtained by changing the laser intensity and locates at the red and ...
... effect in the PA process, and therefore the value of C is regarded as a constant and equals to c [29]. The trap-loss probability in PA process is demonstrated in Fig. 2 for different PA laser intensity. The new resonant position is obtained by changing the laser intensity and locates at the red and ...
Macroscopic Quantum Effects in Biophysics and
... macroscopic phenomena as well, usually treated by the methods of classical physics. In the history of quantum physics, and especially quantum mechanics, this question has been temporarily put aside for very different reasons, being considered as a difficult scientific problem. The situation is addit ...
... macroscopic phenomena as well, usually treated by the methods of classical physics. In the history of quantum physics, and especially quantum mechanics, this question has been temporarily put aside for very different reasons, being considered as a difficult scientific problem. The situation is addit ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.