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Do Neutrino Wave Functions Overlap and Does it Matter?
Do Neutrino Wave Functions Overlap and Does it Matter?

... When WPs do not overlap, one might ask how the 3D WP treatment can be reconciled with the picture of bullet-like particles, which is commonly assumed for analyzing neutrino detection. As the transverse size of the WP can easily become macroscopically large, any microscopic detection process only “se ...
Anatomy of quantum chaotic eigenstates
Anatomy of quantum chaotic eigenstates

Aggregation Operations from Quantum Computing
Aggregation Operations from Quantum Computing

... class of fuzzy sets. The central idea associates the states of a quantum register to membership functions (mFs) of fuzzy subsets, and the rules for the processes of fuzzyfication are performed by unitary qTs. This paper introduces an interpretation of aggregations obtained by classical fuzzy states, ...
Tunability of Excited-State Energy Levels of Four
Tunability of Excited-State Energy Levels of Four

Antihydrogen Gravitational States Abstract - Institut Laue
Antihydrogen Gravitational States Abstract - Institut Laue

the problem book
the problem book

... c. Writing Ψ(x) = φ(x)f (x), find the differential equation that determines f (x). ...
Document
Document

Quantum Hall effect in graphene: Status and prospects
Quantum Hall effect in graphene: Status and prospects

... quantization of the energy levels: at finite B, the B = 0 dispersion is replaced by a discrete set of energy levels, known as Landau levels (LLs). In other words, we can say that electrons occupy discrete Landau energy levels as a result of their quantized orbits. That quantum behaviour shows up as ...
Coherent State Wave Functions on the Torus
Coherent State Wave Functions on the Torus

A generalized entropy measuring quantum localization
A generalized entropy measuring quantum localization

Dynamics of Open Quantum Systems
Dynamics of Open Quantum Systems

Semiclassical Green`s functions and an instanton formulation of
Semiclassical Green`s functions and an instanton formulation of

... approaches to that outlined in this paper. Some generalization is however required as results in the literature considered only pathways which pass through the forbidden region but with end points outside,51,52 or treated only certain one-dimensional systems.53,54 We also introduce a transition-stat ...
1 Imaginary Time Path Integral
1 Imaginary Time Path Integral

... which is the correct result. Physically this is the partition function for a harmonic oscillator surrounded by a heat bath. Use of Imaginary Time Path Integrals Imaginary time path integrals are practically useful in problems in condensed matter physics and particle physics. Numerical techniques inv ...
On quantum obfuscation - University of Maryland Institute for
On quantum obfuscation - University of Maryland Institute for

ORAMs in a Quantum World - Cryptology ePrint Archive
ORAMs in a Quantum World - Cryptology ePrint Archive

Transport Properties of Interacting Edge Modes in 2D Topological
Transport Properties of Interacting Edge Modes in 2D Topological

... boundary. The presence of time-reversal symmetry in these systems implies a special structure of the edge modes, where spin-up and spin-down particles counterpropagate. Such edge modes are called helical. The net charge Hall conductance supported by the edge modes vanishes, but the spin Hall conduct ...
Numerical analysis of transmission coefficient, LDOS, and DOS in
Numerical analysis of transmission coefficient, LDOS, and DOS in

Quantum Mechanics as Quantum Information (and only a little more)
Quantum Mechanics as Quantum Information (and only a little more)

Coherence and Spin in GaAs Quantum Dots
Coherence and Spin in GaAs Quantum Dots

... from ∼ 200 statistically independent samples (see text) as a function of perpendicular magnetic field B⊥ for (a) 8.0 µm2 dot (b) 5.8 µm2 center-gated dot and (c) 1.2 µm2 dot at T = 0.3 K, along with fits to RMT (solid curves). In (b), the center gate is fully depleted. Vertical lines indicate the fitti ...
Quantum Mechanics as Quantum Information
Quantum Mechanics as Quantum Information

... information theoretic justification if we can. Only when we are finished picking off all the terms (or combinations of terms) that can be interpreted as subjective information will we be in a position to make real progress in quantum foundations. The raw distillate left behind—minuscule though it ma ...
Circuit QED: Superconducting Qubits Coupled to Microwave Photons
Circuit QED: Superconducting Qubits Coupled to Microwave Photons

scattering states from time-dependent density functional theory
scattering states from time-dependent density functional theory

... others [1]. Though not as widespread as it used to be, the opinion that the only truly fundamental research is the one directed to discover the “ultimate” laws of nature (in high energy physics and cosmology) is still prevalent in some circles. But equally fundamental research is required at each le ...
Superposition, Entanglement, and Raising Schrödinger’s Cat Nobel Lecture, December 8, 2012
Superposition, Entanglement, and Raising Schrödinger’s Cat Nobel Lecture, December 8, 2012

COMPUTING QUANTUM PHASE TRANSITIONS PREAMBLE
COMPUTING QUANTUM PHASE TRANSITIONS PREAMBLE

The Path Integral Approach to Quantum Mechanics
The Path Integral Approach to Quantum Mechanics

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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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