Module Guide
... The course develops a two-strand approach to Quantum Computing, with an underlying mathematical strand delivered by the School of Computer Science and a quantum information processing strand delivered by both the School of Physics, Astronomy and Mathematics and the School of Computer Science. Commen ...
... The course develops a two-strand approach to Quantum Computing, with an underlying mathematical strand delivered by the School of Computer Science and a quantum information processing strand delivered by both the School of Physics, Astronomy and Mathematics and the School of Computer Science. Commen ...
Lecture 2 - Artur Ekert
... The optical Mach-Zehnder interferometer is just one way of performing a quantum interference experiment – there are many others. Atoms, molecules, nuclear spins and many other quantum objects can be prepared in two distinct states, internal or external, labelled as 0 and 1 and manipulated so that tr ...
... The optical Mach-Zehnder interferometer is just one way of performing a quantum interference experiment – there are many others. Atoms, molecules, nuclear spins and many other quantum objects can be prepared in two distinct states, internal or external, labelled as 0 and 1 and manipulated so that tr ...
Lecture 1 Atomic Structure
... • Electrons can behave as particles or as waves “wave-particle duality”. Here, we will concentrate on the fact that they are wave. • A wave can be described by a mathematical equation (recall a sin-wave, cos-wave, etc.). • Wavefunction y (psi) – a function of the position x, y, z which describes the ...
... • Electrons can behave as particles or as waves “wave-particle duality”. Here, we will concentrate on the fact that they are wave. • A wave can be described by a mathematical equation (recall a sin-wave, cos-wave, etc.). • Wavefunction y (psi) – a function of the position x, y, z which describes the ...
Binding energies of excitons in II–VI compound
... (36.0 meV) in bulk ZnS. The solid curve and the dashed curve have the same meaning as in Fig. 1 and Fig. 2. The solid squares represent the values of the exciton binding energy measured by Urbaszek et al. [3]. The values of the well widths ranged from 35 to 100 Å. The values of the exciton binding e ...
... (36.0 meV) in bulk ZnS. The solid curve and the dashed curve have the same meaning as in Fig. 1 and Fig. 2. The solid squares represent the values of the exciton binding energy measured by Urbaszek et al. [3]. The values of the well widths ranged from 35 to 100 Å. The values of the exciton binding e ...
Quantum-electrodynamical approach to the Casimir force
... potentials between atoms and molecules are considered, as shown by Casimir and Polder [1]. An even more striking quantum effect with no classical analogue is the attractive force between perfectly reflecting parallel plates at zero temperature. For this effect Casimir derived in 1948 the expression ...
... potentials between atoms and molecules are considered, as shown by Casimir and Polder [1]. An even more striking quantum effect with no classical analogue is the attractive force between perfectly reflecting parallel plates at zero temperature. For this effect Casimir derived in 1948 the expression ...
Lecture 12 Atomic structure
... Since single-particle Hamiltonian Ĥ0 continues to commute with the angular momentum operator, [Ĥ0 , L̂] = 0, its eigenfunctions remain indexed by quantum numbers (n, #, m! , ms ). However, since effective potential, V (r ) + Ui (r ), is no longer Coulomb-like, # values for a given n need not be de ...
... Since single-particle Hamiltonian Ĥ0 continues to commute with the angular momentum operator, [Ĥ0 , L̂] = 0, its eigenfunctions remain indexed by quantum numbers (n, #, m! , ms ). However, since effective potential, V (r ) + Ui (r ), is no longer Coulomb-like, # values for a given n need not be de ...
Lives of the Stars Lecture 2: Atoms and quantum
... Heisenberg went further, and said it is impossible for us to determine which slit the electron went through. There is a fundamental limitation to what we can measure, even in principle: ...
... Heisenberg went further, and said it is impossible for us to determine which slit the electron went through. There is a fundamental limitation to what we can measure, even in principle: ...
The Spectrum of the Hydrogen Atom
... In quantum mechanical terms, the system is described by the total wavefunction, ψ, which is a superposition of the eigenstates of one of the operators of the system, with adjusted amplitudes, cA and cD , where cA 2 is the probability of finding the cat alive, and cD 2 is the probability of finding t ...
... In quantum mechanical terms, the system is described by the total wavefunction, ψ, which is a superposition of the eigenstates of one of the operators of the system, with adjusted amplitudes, cA and cD , where cA 2 is the probability of finding the cat alive, and cD 2 is the probability of finding t ...
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.