Paper
... on the symmetric part. Experiments.— The experiments both on superradiance [1] and four-wave mixing [2] in Bose-Einstein condensates have in common that a matter wave grating formed by two macroscopically occupied momentum states is probed, either by light or by atoms. Both experiments create the co ...
... on the symmetric part. Experiments.— The experiments both on superradiance [1] and four-wave mixing [2] in Bose-Einstein condensates have in common that a matter wave grating formed by two macroscopically occupied momentum states is probed, either by light or by atoms. Both experiments create the co ...
Document
... “The recent development of quantum information science and its potential applications have brought many of the fundamental questions of quantum physics to the mainstream…I discuss a system at the heart of these questions —quantum entanglement of the spin states of two individual massive particles at ...
... “The recent development of quantum information science and its potential applications have brought many of the fundamental questions of quantum physics to the mainstream…I discuss a system at the heart of these questions —quantum entanglement of the spin states of two individual massive particles at ...
Corley: Quantum Mechanics and Free Will
... collapsed, and the electron is forced to choose one path above the others. The cat inside the box exists in several possibilities until the box is opened and one possibility occurs against the others. This idea was repulsive to many scientists at the time, and many still struggle with it. After all, ...
... collapsed, and the electron is forced to choose one path above the others. The cat inside the box exists in several possibilities until the box is opened and one possibility occurs against the others. This idea was repulsive to many scientists at the time, and many still struggle with it. After all, ...
High-order impulse approximation for calculating pulsed-field recombination F. Robicheaux
... lower principal quantum numbers than might be expected. Although classical methods should be accurate in many cases, quantum calculations should also be performed whenever possible. If both types of calculations are possible, this provides a double check on the theory since a quantum calculation doe ...
... lower principal quantum numbers than might be expected. Although classical methods should be accurate in many cases, quantum calculations should also be performed whenever possible. If both types of calculations are possible, this provides a double check on the theory since a quantum calculation doe ...
Chapter 41 Problems
... An electron is trapped in a quantum dot. The quantum dot may be modeled as a one-dimensional, rigid-walled box of length 1.00 nm. (a) Sketch the wave functions and probability densities for the n = 1 and n = 2 states. (b) For the n = 1 state, calculate the probability of finding the electron between ...
... An electron is trapped in a quantum dot. The quantum dot may be modeled as a one-dimensional, rigid-walled box of length 1.00 nm. (a) Sketch the wave functions and probability densities for the n = 1 and n = 2 states. (b) For the n = 1 state, calculate the probability of finding the electron between ...
Slide 1
... Quantum Shuttle Instability Important conclusion: An electromechanical instability is possible even if the initial displacement of the shuttle is smaller than its de Broglie wavelength and quantum fluctuations of the shuttle position can not be neglected. In this situation one speaks of a quantum sh ...
... Quantum Shuttle Instability Important conclusion: An electromechanical instability is possible even if the initial displacement of the shuttle is smaller than its de Broglie wavelength and quantum fluctuations of the shuttle position can not be neglected. In this situation one speaks of a quantum sh ...
ppt
... Only orbits that fit n electron wavelengths are allowed Explains the stability of the atom Energy quantization correct for single e– atoms (H, He+, Li++) However, it is fundamentally incorrect ...
... Only orbits that fit n electron wavelengths are allowed Explains the stability of the atom Energy quantization correct for single e– atoms (H, He+, Li++) However, it is fundamentally incorrect ...
Angular momentum
... Let us assume that the operators (Lx , Ly , Lz ) ≡ L which represent the components of orbital angular momentum in quantum mechanics can be defined in an analogous manner to the corresponding components of classical angular momentum. In other words, we are going to assume that the above equations sp ...
... Let us assume that the operators (Lx , Ly , Lz ) ≡ L which represent the components of orbital angular momentum in quantum mechanics can be defined in an analogous manner to the corresponding components of classical angular momentum. In other words, we are going to assume that the above equations sp ...
Inherent Properties and Statistics with Individual Particles in
... and Nk the particles that lie in region k). Such a breakdown is, in turn, entirely determined by the fact that the equilibrium measure is continuous in classical phase space, and discrete in Hilbert space. This is to say, roughly put, that while every point in configuration space is equally available ...
... and Nk the particles that lie in region k). Such a breakdown is, in turn, entirely determined by the fact that the equilibrium measure is continuous in classical phase space, and discrete in Hilbert space. This is to say, roughly put, that while every point in configuration space is equally available ...
introductory quantum theory
... These notes are indebted to the notes of M. Gaberdiel and others. The introduction is largely taken from the book by Messiah. ...
... These notes are indebted to the notes of M. Gaberdiel and others. The introduction is largely taken from the book by Messiah. ...
QUANTUM COMPUTATION Janusz Adamowski
... Complex amplitudes a0 , a1 satisfy the normalization condition |a0 |2 + |a1 |2 = 1 ...
... Complex amplitudes a0 , a1 satisfy the normalization condition |a0 |2 + |a1 |2 = 1 ...
Dark Energy from Violation of Energy Conservation
... so far most successful, theoretical model that could account for the observed behavior. The origin of this puzzle is that, within the usual framework, the only seemingly natural values that Λ could take are either zero or a value which is 120 orders of magnitude larger than the one indicated by obse ...
... so far most successful, theoretical model that could account for the observed behavior. The origin of this puzzle is that, within the usual framework, the only seemingly natural values that Λ could take are either zero or a value which is 120 orders of magnitude larger than the one indicated by obse ...
PT -Symmetric Models in Classical and Quantum Mechanics
... in quantum theory. Because PT is an antilinear symmetry, [H, PT ] = 0 does not imply simultaneously diagonalizability. When an eigenstate of the Hamiltonian is simultaneously an eigenstate of PT , the eigenvalues are real we call the symmetry unbroken; otherwise the symmetry is broken and the eigenv ...
... in quantum theory. Because PT is an antilinear symmetry, [H, PT ] = 0 does not imply simultaneously diagonalizability. When an eigenstate of the Hamiltonian is simultaneously an eigenstate of PT , the eigenvalues are real we call the symmetry unbroken; otherwise the symmetry is broken and the eigenv ...
Adaptive Wave Models for Sophisticated Option Pricing
... can be approximated by a quantum-like option wave packet. It is defined by a continuous superposition of de Broglie’s plane waves, ‘physically’ associated with a free quantum particle of unit mass. This linear wave packet, given by the time-dependent complex-valued wave function = s, t , is ...
... can be approximated by a quantum-like option wave packet. It is defined by a continuous superposition of de Broglie’s plane waves, ‘physically’ associated with a free quantum particle of unit mass. This linear wave packet, given by the time-dependent complex-valued wave function = s, t , is ...
A phase-space study of the quantum Loschmidt Echo in the
... from the paper by Helffer-Robert ([18]) and we refer to this paper for more details. (see also the thesis of Bily for a proof using coherent states). Let us give now the sufficient assumptions: (A1 ) H(z) is real valued , H ∈ C ∞ (R2 ). (A2 ) H is bounded below1 : there exist c0 > 0 and γ0 ∈ R such ...
... from the paper by Helffer-Robert ([18]) and we refer to this paper for more details. (see also the thesis of Bily for a proof using coherent states). Let us give now the sufficient assumptions: (A1 ) H(z) is real valued , H ∈ C ∞ (R2 ). (A2 ) H is bounded below1 : there exist c0 > 0 and γ0 ∈ R such ...
Probabilistic interpretation of resonant states
... Naomichi Hatano, Tatsuro Kawamoto and Joshua Feinberg among others, have revived theoretical interest in the phenomenon of resonance in quantum mechanics [37]. The wave function of a resonant state has been discussed greatly since the early stage of quantum mechanics. As will be shown at the end of ...
... Naomichi Hatano, Tatsuro Kawamoto and Joshua Feinberg among others, have revived theoretical interest in the phenomenon of resonance in quantum mechanics [37]. The wave function of a resonant state has been discussed greatly since the early stage of quantum mechanics. As will be shown at the end of ...
PHYS 4011, 5050: Atomic and Molecular Physics
... The spectrum determined by Eq. (1.23) is the exact solution of the Schrödinger-Coulomb problem, but not exactly what one sees experimentally. The reason is that the Schrödinger equation is not the ultimate answer, e.g., it has to be modified to meet the requirements of the theory of special relati ...
... The spectrum determined by Eq. (1.23) is the exact solution of the Schrödinger-Coulomb problem, but not exactly what one sees experimentally. The reason is that the Schrödinger equation is not the ultimate answer, e.g., it has to be modified to meet the requirements of the theory of special relati ...
