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T.C UNIVERSITY of GAZIANTEP DEPARTMENT OF ENGINEERING
T.C UNIVERSITY of GAZIANTEP DEPARTMENT OF ENGINEERING

Entropy, Strings, and Partitions of Integers
Entropy, Strings, and Partitions of Integers

... where n is a non-negative integer and ~ = 1.05 × 10−34 J·s is Planck’s constant. Terminology: An oscillator with energy En “is in state n” or “has n excitations at frequency ω.” ...
Periodic orbit analysis of molecular vibrational spectra: Spectral
Periodic orbit analysis of molecular vibrational spectra: Spectral

Can you hear the shape of a graph?
Can you hear the shape of a graph?

Quantum Entanglement
Quantum Entanglement

Unified treatment of quantum coherent and incoherent hopping
Unified treatment of quantum coherent and incoherent hopping

Physlets and Open Source Physics for Quantum Mechanics:
Physlets and Open Source Physics for Quantum Mechanics:

... classical period the packet has already spread so much that it covers the entire extent of the well. Notice that at the times of Tcl/4 and 3Tcl/4 the wave packet is colliding with one of the infinite walls. Unfortunately from this depiction, we cannot discern any of the interesting (and perhaps unex ...
Shor`s Algorithm and the Quantum Fourier Transform
Shor`s Algorithm and the Quantum Fourier Transform

Effect of an industrial chemical waste on the uptake
Effect of an industrial chemical waste on the uptake

Chapter 2. Model Problems That Form Important Starting Points
Chapter 2. Model Problems That Form Important Starting Points

quantum effects in biology - Assets
quantum effects in biology - Assets

University of Birmingham A New Optical Gain Model for Quantum
University of Birmingham A New Optical Gain Model for Quantum

Quantum Probabilistic Dyadic Second-Order Logic⋆
Quantum Probabilistic Dyadic Second-Order Logic⋆

13 Classical and quantum statistics
13 Classical and quantum statistics

How to program a quantum computer
How to program a quantum computer

... superposition they can be a probability of two states(spin up, spin down in relative to the measurement) and due to that in a 2 bit quantum entanglement like the diagram showed on the left, need 4 confident information to solve because qubits can be in the probability of any of these four combos. Un ...
From  Quantum  theory to Quantum  theology: Abstract J
From Quantum theory to Quantum theology: Abstract J

... Newton's laws of motion put an end to the idea of absolute position in space2. He was very concerned by this lack of absolute position, because it did not accord with his idea of an absolute God (Hawking 1988: 18) and the philosophical belief in absolute truths. In 1915, Einstein's theory of relativ ...
Quantum Fields near Black Holes - Theoretisch
Quantum Fields near Black Holes - Theoretisch

Path-Integral Molecular Dynamics at Thermal Equilibrium
Path-Integral Molecular Dynamics at Thermal Equilibrium

Single-electron pump based on a quantum dot
Single-electron pump based on a quantum dot

... reset event followed by 22 consecutive pumping pulses. We repeat this procedure 12 times for each voltage value. Based on the data presented in figure 3(d) where P1 > 99% for up to 50 consecutive pumping pulses, we note that the choice of 22 pulses between each reset should not lead to observable und ...
- Nottingham ePrints
- Nottingham ePrints

Quasi Particle Tunneling in the Fractional Quantum Hall Regime
Quasi Particle Tunneling in the Fractional Quantum Hall Regime

Delocalization and Heisenberg`s uncertainty relation
Delocalization and Heisenberg`s uncertainty relation

Quantum fluctuations and thermodynamic processes in the presence of closed... by Tsunefumi Tanaka
Quantum fluctuations and thermodynamic processes in the presence of closed... by Tsunefumi Tanaka

ValenciaHiesmayr2008
ValenciaHiesmayr2008

...   r1e i K S K S  r2e i K S K L  r3e i K L K S  r4e i K L K L ...
Lecture Notes on Statistical Mechanics and Thermodynamics
Lecture Notes on Statistical Mechanics and Thermodynamics

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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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