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The strange (hi)story of particles and waves
The strange (hi)story of particles and waves

Bounds on Quantum Probabilities - D
Bounds on Quantum Probabilities - D

Towards a Quantum Field Theory of Mind
Towards a Quantum Field Theory of Mind

Spin-valley lifetimes in a silicon quantum dot with tunable valley
Spin-valley lifetimes in a silicon quantum dot with tunable valley

... j2i ¼ jv  ; "i, j3i ¼ jv þ ; #i, j4i ¼ jv þ ; "i. These states are considered to be only very weakly affected by higher excitations, such as orbital levels that are at least 8 meV above the ground state in our device41. In Supplementary Note 3 we detail how mixing to a 2p-like orbital state leads t ...
Microscopic quantum coherence in a photosynthetic-light
Microscopic quantum coherence in a photosynthetic-light

These notes
These notes

Emergent quasicrystals in strongly correlated systems
Emergent quasicrystals in strongly correlated systems

Creating fractional quantum Hall states with atomic clusters
Creating fractional quantum Hall states with atomic clusters

The Uncertainty Principle
The Uncertainty Principle

Chapter 2 Theory of angular momentum
Chapter 2 Theory of angular momentum

example: on the Bloch sphere: this is a rotation around the equator
example: on the Bloch sphere: this is a rotation around the equator

Quantum Operating Systems - Henry Corrigan
Quantum Operating Systems - Henry Corrigan

Quantum Computing with Quantum Dots
Quantum Computing with Quantum Dots

Ground state entanglement entropy for discrete
Ground state entanglement entropy for discrete

... According to Fig. 2, in the continuous time(solid lines), the entanglement of the system at the ground state increases as the interaction between particles σ increases, while the interaction with environment k is fixed. The system approaches to the maximally entangled state SL → 1 as the parameter σ ...
Quantum Theory of Radiation
Quantum Theory of Radiation

... Returning to the case of the atom and the radiation field, the first problem which we have to solve is the finding of a convenient set of coordinates to represent the system. The position of the atom may be described by means of any system of general coordinates; if we assume that the atom contains ...
Geometric phases and cyclic isotropic cosmologies
Geometric phases and cyclic isotropic cosmologies

Entanglement, Gravity, and Quantum Error Correction
Entanglement, Gravity, and Quantum Error Correction

Document
Document

Chapter 5 Spacetime Particle Model
Chapter 5 Spacetime Particle Model

Quantum heat engine with multilevel quantum systems
Quantum heat engine with multilevel quantum systems

PPT
PPT

... The scattered intensity is the square of the (spatial) Fourier transform of the amplitude density of the target The conjugate variable is kx, better the transverse component of wave-vector the scattered particle (kT) If D</2 the total phase change Df induced by the target on its section D is small ...
2 Quantum Theory of Spin Waves
2 Quantum Theory of Spin Waves

... The actual value of this difference will clearly depend on the relative magnitudes of α, V , and U . So far so good, but what about spin? None of these calculations has explicitly taken spin into account, so how can the spin affect the energy? We have seen that the energy difference between the symmetr ...
Dynamics of Entanglement for Two-Electron Atoms
Dynamics of Entanglement for Two-Electron Atoms

... The study of quantum entanglement for systems with continuous degrees of freedom possess a number of extra problems when they are compared with systems with discrete degrees of freedom. One particularly acute is the lack of exact solutions. The existence of exact solutions has contributed enormously ...
5.1 Revising the Atomic Model
5.1 Revising the Atomic Model

... electron can have. • For each energy level, the Schrödinger equation also leads to a mathematical expression, called an atomic orbital. • An atomic orbital is represented pictorially (illustrated by pictures) as a region of space in which there is a high probability of finding an electron. ...
Critical Study of The Structure and Interpretation of
Critical Study of The Structure and Interpretation of

< 1 ... 67 68 69 70 71 72 73 74 75 ... 329 >

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.
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