Wilson-Sommerfeld quantization rule revisited
... E in a potential field V that is a function of the coordinates. The momentum p is then well defined as long as E ≥ V {p = ±[2m(E − V)]1/2 }; but here it becomes a function. If we restrict ourselves again to motion in one dimension and wish to extend the applicability of (3) to include such cases of ...
... E in a potential field V that is a function of the coordinates. The momentum p is then well defined as long as E ≥ V {p = ±[2m(E − V)]1/2 }; but here it becomes a function. If we restrict ourselves again to motion in one dimension and wish to extend the applicability of (3) to include such cases of ...
Document
... • The danger of errors grows exponentially with the size of the quantum system. • Without error-correction techniques, quantum computation would be a pipe dream. • To reach the thresholds for fault-tolerant computation, it is likely that error-protection techniques will first need to be tailored to ...
... • The danger of errors grows exponentially with the size of the quantum system. • Without error-correction techniques, quantum computation would be a pipe dream. • To reach the thresholds for fault-tolerant computation, it is likely that error-protection techniques will first need to be tailored to ...
Chapter 5
... Special Note: Professor Heinz will be lecturing on this chapter. He may not necessarily follow these notes. I provide them for completeness. ...
... Special Note: Professor Heinz will be lecturing on this chapter. He may not necessarily follow these notes. I provide them for completeness. ...
16-3 NV pages mx - Quantum Optics and Spectroscopy
... could solve certain problems much faster than conventional (classical) computers. This speed increase is directly linked to the fact that the register of a quantum computer can be prepared in a superposition of states, which are then processed in parallel. The creation of a ‘universal’ quantum compu ...
... could solve certain problems much faster than conventional (classical) computers. This speed increase is directly linked to the fact that the register of a quantum computer can be prepared in a superposition of states, which are then processed in parallel. The creation of a ‘universal’ quantum compu ...
Lecture 10
... when passed through a magnetic field. There must be two states of H which have a different energy in a magnetic field. ...
... when passed through a magnetic field. There must be two states of H which have a different energy in a magnetic field. ...
Chapter 2 – Atoms and Elements - U of L Class Index
... the same energy anymore. This leads to a more complicated atomic line spectrum since there are more energy levels and therefore more energy gaps (i.e. more ∆E values). This is known as the Zeeman effect. It can be was one of the key pieces of evidence for accepting the Schrödinger model of the atom ...
... the same energy anymore. This leads to a more complicated atomic line spectrum since there are more energy levels and therefore more energy gaps (i.e. more ∆E values). This is known as the Zeeman effect. It can be was one of the key pieces of evidence for accepting the Schrödinger model of the atom ...
Presentation - Oxford Physics
... The other thing I learn from all this is how subtle and wonderful the world is. ...
... The other thing I learn from all this is how subtle and wonderful the world is. ...
Lecture 14 1 Entanglement and Spin
... So what is Ĥ? We must figure out how these electrons interact with each other. What effect could one electron have on the other electron, and vice versa? Well, we know that an electron has a magnetic dipole moment that is related to its spin. Magnetic dipole moments come up classically when you hav ...
... So what is Ĥ? We must figure out how these electrons interact with each other. What effect could one electron have on the other electron, and vice versa? Well, we know that an electron has a magnetic dipole moment that is related to its spin. Magnetic dipole moments come up classically when you hav ...
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.