Multiphoton population transfer between rovibrational states of HF: adiabatic
... au is the equilibrium bond length, α = 1.22 au and m = 0.95 amu is the reduced mass. Here the radial coordinate is restricted in the region r 0, and the model resembles an s-wave model. Analytical solution for the time-independent Schrödinger equation exists for the one-dimensional case, and the ...
... au is the equilibrium bond length, α = 1.22 au and m = 0.95 amu is the reduced mass. Here the radial coordinate is restricted in the region r 0, and the model resembles an s-wave model. Analytical solution for the time-independent Schrödinger equation exists for the one-dimensional case, and the ...
Path Integral Monte Carlo Zachary Wolfson
... the value of the reduced mass. 2 Recall that in most of the formulas regarding the hydrogen atom, the electron mass me appears, but really this should be the reduced mass f-L of the system, since the first step performed when solving the hydrogen atom was going to the center of mass frame and using ...
... the value of the reduced mass. 2 Recall that in most of the formulas regarding the hydrogen atom, the electron mass me appears, but really this should be the reduced mass f-L of the system, since the first step performed when solving the hydrogen atom was going to the center of mass frame and using ...
Semiclassical Methods for Many-Body Systems
... lin wavefunction [1]. The Laughlin wavefunction describes the correlated motion of several electrons and allows strongly interacting electrons to be approximated. Any approximation that assumes a thermally large number of particles necessarily falls into this synthetic approach. In the thermal limit ...
... lin wavefunction [1]. The Laughlin wavefunction describes the correlated motion of several electrons and allows strongly interacting electrons to be approximated. Any approximation that assumes a thermally large number of particles necessarily falls into this synthetic approach. In the thermal limit ...
S–I–S its S–I transition C.D. , Kwangmoo Kim
... composed of that same material above the transition. In this case, the insulating regime is likely to be more than one intergrain thickness and hence three-dimensional. The film-type junctions could, in principle, be deliberately designed by having a film deposited by sputtering or chemical vapor depo ...
... composed of that same material above the transition. In this case, the insulating regime is likely to be more than one intergrain thickness and hence three-dimensional. The film-type junctions could, in principle, be deliberately designed by having a film deposited by sputtering or chemical vapor depo ...
douglas c. giancoli
... (L 300 K), we are not aware of this electromagnetic radiation because of its low intensity. At higher temperatures, there is sufficient infrared radiation that we can feel heat if we are close to the object. At still higher temperatures (on the order of 1000 K), objects actually glow, such as a red- ...
... (L 300 K), we are not aware of this electromagnetic radiation because of its low intensity. At higher temperatures, there is sufficient infrared radiation that we can feel heat if we are close to the object. At still higher temperatures (on the order of 1000 K), objects actually glow, such as a red- ...
Ch 27) Early Quantum Theory and Models of the Atom
... (L 300 K), we are not aware of this electromagnetic radiation because of its low intensity. At higher temperatures, there is sufficient infrared radiation that we can feel heat if we are close to the object. At still higher temperatures (on the order of 1000 K), objects actually glow, such as a red- ...
... (L 300 K), we are not aware of this electromagnetic radiation because of its low intensity. At higher temperatures, there is sufficient infrared radiation that we can feel heat if we are close to the object. At still higher temperatures (on the order of 1000 K), objects actually glow, such as a red- ...
Non-abelian quantum Hall states and fractional charges in one dimension Emma Wikberg
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
Spontaneous symmetry breaking in quantum
... In quantum mechanics symmetry has a much more powerful role than in classical mechanics. Translational invariance in a classical system causes momentum to be conserved; in quantum mechanics it immediately implies that all eigenstates of the Hamiltonian are spread out with equal amplitude over all of ...
... In quantum mechanics symmetry has a much more powerful role than in classical mechanics. Translational invariance in a classical system causes momentum to be conserved; in quantum mechanics it immediately implies that all eigenstates of the Hamiltonian are spread out with equal amplitude over all of ...
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.