
Ground-state properties of the attractive one
... Indicator properties such as the gap between the ground and first excited energy levels, and the incremental ground-state wave function overlaps are used to locate different regimes. Using mean-field theory we predict that there are two distinct crossovers connected to spontaneous symmetry breaking ...
... Indicator properties such as the gap between the ground and first excited energy levels, and the incremental ground-state wave function overlaps are used to locate different regimes. Using mean-field theory we predict that there are two distinct crossovers connected to spontaneous symmetry breaking ...
Why were two theories (Matrix Mechanics and Wave Mechanics
... the quantum energy levels: “Considering next the proper values, we get … En = (2n +1)/2 hνo; n = 0, 1, 2, 3, … Thus as quantum levels appear so-called “half-integral” multiples of the “quantum of energy” peculiar to the oscillator, i.e. the odd multiples of hνo/2. The intervals between the levels, w ...
... the quantum energy levels: “Considering next the proper values, we get … En = (2n +1)/2 hνo; n = 0, 1, 2, 3, … Thus as quantum levels appear so-called “half-integral” multiples of the “quantum of energy” peculiar to the oscillator, i.e. the odd multiples of hνo/2. The intervals between the levels, w ...
Latched Detection of Excited States in an Isolated Double
... long interval (microseconds to hours, in principle) when the barrier between dots is closed, so that each dot is completely isolated, with fixed charge. This sequence we term latched detection, because the measurement occurs after all barrier have been closed, i.e., the double-dot system is latched ...
... long interval (microseconds to hours, in principle) when the barrier between dots is closed, so that each dot is completely isolated, with fixed charge. This sequence we term latched detection, because the measurement occurs after all barrier have been closed, i.e., the double-dot system is latched ...
Introduction to the Bethe Ansatz II
... |STz | ≤ ST ) of any ST -multiplet fan out symmetrically about the original level position and depend linearly on h. The largest downward energy shift in each multiplet is experienced by the state with STz = ST , and that shift is proportional to ST . The state |Ai, which has ST = 0, does not move a ...
... |STz | ≤ ST ) of any ST -multiplet fan out symmetrically about the original level position and depend linearly on h. The largest downward energy shift in each multiplet is experienced by the state with STz = ST , and that shift is proportional to ST . The state |Ai, which has ST = 0, does not move a ...
QUANTUM MONTE CARLO SIMULATION OF TUNNELLING DEVICES USING WAVEPACKETS AND BOHM TRAJECTORIES
... I have read somewhere that science has to be considered as a type of culture at the same level as painting, playing music or writing poetry. It indicates the human development of the society. However, science is also an economical motor of our society because its has a direct impact on our everyday ...
... I have read somewhere that science has to be considered as a type of culture at the same level as painting, playing music or writing poetry. It indicates the human development of the society. However, science is also an economical motor of our society because its has a direct impact on our everyday ...
Vortex states of a disordered quantum Hall bilayer P. R. Eastham,
... perform S sweeps of 4L2 moves. As can be seen in Fig. 2, increasing S by a factor of 103 does not significantly change the results so we are obtaining good approximations to the ground states. The results in Fig. 2 are quenched averages of Monte Carlo data obtained for different disorder realization ...
... perform S sweeps of 4L2 moves. As can be seen in Fig. 2, increasing S by a factor of 103 does not significantly change the results so we are obtaining good approximations to the ground states. The results in Fig. 2 are quenched averages of Monte Carlo data obtained for different disorder realization ...
Optical Characterization of Quantum Dots
... a thin InAs layer on top of GaAs forms a strained layer, the wetting layer. This strain increases further by increasing the wetting layer thickness. At a critical thickness of the InAs (1.7 monolayer) the accumulated strain is relieved by the epitaxial islanding transition [14]. This transition lead ...
... a thin InAs layer on top of GaAs forms a strained layer, the wetting layer. This strain increases further by increasing the wetting layer thickness. At a critical thickness of the InAs (1.7 monolayer) the accumulated strain is relieved by the epitaxial islanding transition [14]. This transition lead ...
Wednesday, Aug. 30, 2006
... Makes perfect sense since Coulomb potential is stronger with larger Z. Results in larger deflection. ...
... Makes perfect sense since Coulomb potential is stronger with larger Z. Results in larger deflection. ...
Quantum spin systems from the perspective of quantum
... • RG approximates ground state and lowest excited states by a family of PEPS – Ai are chosen s.t. |i form orthonormal set, which forces N=identity – Remark that sweeping would give better precision – Excited states are forced to have the same Aik
... • RG approximates ground state and lowest excited states by a family of PEPS – Ai are chosen s.t. |i form orthonormal set, which forces N=identity – Remark that sweeping would give better precision – Excited states are forced to have the same Aik
Quantum algorithms - People @ EECS at UC Berkeley
... Now let us look more closely at the quantum part of the algorithm. Some of the key quantum operations (which we will soon discuss) can be thought of as looking for certain kinds of patterns in a superposition of states. Because of this, it is helpful to think of the algorithm as having two stages. I ...
... Now let us look more closely at the quantum part of the algorithm. Some of the key quantum operations (which we will soon discuss) can be thought of as looking for certain kinds of patterns in a superposition of states. Because of this, it is helpful to think of the algorithm as having two stages. I ...
Chaos, Quantum-transactions and Consciousness
... Abstract: The nature of subjective conscious experience, and its consequences in intentionality, remain the central unsolved problem in science and one of critical importance to humanity’s future as sentient observers and autonomous participants in a world history we are coming to have ever more piv ...
... Abstract: The nature of subjective conscious experience, and its consequences in intentionality, remain the central unsolved problem in science and one of critical importance to humanity’s future as sentient observers and autonomous participants in a world history we are coming to have ever more piv ...
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.