BASIS SET SUPERPOSITION ERROR EFFECTS, EXCITED-STATE POTENTIAL ENERGY SURFACE AND
... find a proper level of theory for the study of thymine, whereas in the third and fourth parts the photohpysics of thymine are studied. Moran et al.140 found that correlated methods such as the Configuration Interaction with Single and Double excitations (CISD) and Møller-Plesset up to second order ( ...
... find a proper level of theory for the study of thymine, whereas in the third and fourth parts the photohpysics of thymine are studied. Moran et al.140 found that correlated methods such as the Configuration Interaction with Single and Double excitations (CISD) and Møller-Plesset up to second order ( ...
PS - USTC, ICTS
... • Only the first term of the axial vector current operator, which is the Pauli spin, has been calculated in the non-relativistic quark models. • The second term, the relativistic correction, has not been included in the non-relativistic quark model calculations. The relativistic quark model does inc ...
... • Only the first term of the axial vector current operator, which is the Pauli spin, has been calculated in the non-relativistic quark models. • The second term, the relativistic correction, has not been included in the non-relativistic quark model calculations. The relativistic quark model does inc ...
THE K-THEORY OF FREE QUANTUM GROUPS 1. Introduction A
... special case l = 0 and P1 = · · · = Pk = 1 ∈ GL1 (C) of this family reduces to the classical free group Fk on k generators. In order to explain our notation let us briefly review some definitions. Given a matrix Q ∈ GLn (C), the full C ∗ -algebra of the free unitary quantum group FU (Q) is the unive ...
... special case l = 0 and P1 = · · · = Pk = 1 ∈ GL1 (C) of this family reduces to the classical free group Fk on k generators. In order to explain our notation let us briefly review some definitions. Given a matrix Q ∈ GLn (C), the full C ∗ -algebra of the free unitary quantum group FU (Q) is the unive ...
Word - The Open University
... mechanics. In cases where the probability distributions are independent of time, a stationary-state approach can be used. In other cases, where probabilities are timedependent and motion is really taking place, a wave-packet approach can be used. The two approaches are related but different. In many ...
... mechanics. In cases where the probability distributions are independent of time, a stationary-state approach can be used. In other cases, where probabilities are timedependent and motion is really taking place, a wave-packet approach can be used. The two approaches are related but different. In many ...
history of quantum computing
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
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.