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- Philsci
- Philsci

... According to Popper, the underdetermination between Lorentz and Einstein, which had persisted for more than sixty years, was finally broken with an experimentis crucis. Quantum non-locality, experimentally vindicated by Aspect’s violation of Bell’s inequality, demands absolute simultaneity. For the ...
Variational Monte Carlo studies of Atoms - DUO
Variational Monte Carlo studies of Atoms - DUO

... Variational Monte Carlo calculations have been performed on atoms on several occasions (see ref. [3]), but for the atoms magnesium and silicon this is not so common. In this work we will perform VMC calculations on both well-explored systems such as helium, beryllium and neon in addition to the less ...
Ideal n-body correlations with massive particles
Ideal n-body correlations with massive particles

... state and the transverse correlation functions (to be discussed elsewhere), are indeed in excellent agreement with the predictions of the theory for a harmonically trapped ideal Bose gas. On the other hand, the longitudinal properties of the gas, especially well below the critical temperature, are i ...
Schroedinger equation Basic postulates of quantum mechanics
Schroedinger equation Basic postulates of quantum mechanics

... For most of systems Hamiltonian “represents” total energy of the system T+V= kinetic +potential. Hamiltonian is defined also classically, and equations of motions for classical systems can be written using derivatives of the Hamiltonian. Classically there is no need for a concept of the wave functio ...
Path Integrals in Quantum Field Theory
Path Integrals in Quantum Field Theory

... from the canonical formulation of quantum mechanics, using, for example, the timedependent Schrödinger equation. However, if one defines the amplitude associated with a given trajectory as eiS , then it is possible to derive the Schrödinger equation2 . We can even “derive” the classical principle ...
atomic spectroscopy 2005
atomic spectroscopy 2005

... The distinguishing feature of the alkali atoms is a lone l =0 electron outside of all closed shells. Since closed shells are extremely stable, alkali spectroscopy is dominated by the behavior of this outermost “optically active” electron. The electric potential seen by this electron (at its Bohr rad ...
The Superposition Principle in Quantum Mechanics
The Superposition Principle in Quantum Mechanics

Atom cooling, trapping, and quantum manipulation
Atom cooling, trapping, and quantum manipulation

... found, a few of which are presented here. A very useful trap for neutral atoms is the magnetic bottle. Magnetic substates that are attracted to regions of lower field can be trapped if uBu, and thus the trap potential U(r) have a local minimum. One choice of B that provides such a potential is a qua ...
chem3322_metaphysics.. - The University of Texas at Dallas
chem3322_metaphysics.. - The University of Texas at Dallas

Quantum phase transition in one-dimensional Bose
Quantum phase transition in one-dimensional Bose

... within the Gross-Pitaevskii 共GP兲 MFT. A quantum phase transition between uniform and bright-soliton states is found. The lowest excitation spectrum and the number of virtually excited particles due to interactions are derived analytically within the Bogoliubov approximation. The results indicate tha ...
Isometric and unitary phase operators: explaining the Villain transform
Isometric and unitary phase operators: explaining the Villain transform

... requires (16b), otherwise S− |−S = 0 is violated. As long as the states |+S (in (34a)) and |−S (in (34b)) are accessible, albeit with small probability for low temperatures, neglecting (15b) (respectively (16b)) will lead to errors, because the operators Ul (respectivelyŨl ) are not followed by ...
lecture 18 - CLASSE Cornell
lecture 18 - CLASSE Cornell

... The quantum fluctuations due to photon radiation may cause a particle to exceed the energy aperture or physical aperture of the machine. The resulting lifetime is called the “quantum lifetime”. Let’s look at the loss process in the horizontal transverse plane first. When we discussed synchrotron rad ...
Slides - Particle Physics
Slides - Particle Physics

... In the chapter on measurement in his book he gives two types of measurement process: 1. Processes that collapse the wave function. 2. Processes that are described by the Schrödinger evolution. He calls these 'automatic changes that occur with the passage of time’. ...
ECE692_1_1008
ECE692_1_1008

... Review of Semiconductor Physics Solid-state physics The daunting task of solid state physics • Quantum mechanics gives us the fundamental equation • The equations are only analytically solvable for a handful of special cases • One cannot solve the equations for more than two bodies! • Solid-state p ...
LHCC - uniud.it
LHCC - uniud.it

... Spin S - W. Pauli introduced for the 1st time a fourth quantic number the spin - to completely describe the electron state inside the atomic orbitals - No physics meaning was assigned to the spin until 1927, when the experiment of Phipps ad Taylor associated to the spin a magnetic moment of the ele ...
Chapter 15 The Periodic Table of the Elements
Chapter 15 The Periodic Table of the Elements

... shell is dictated by how angular momentum functions under quantum mechanics: as we saw in the previous chapter, l must be less than n, and m varies from −l through l. If you put these two things together, it would be fair to say that angular momentum at the quantum level is responsible for the struc ...
Un-topical review Heisenberg`s dog and quantum computing
Un-topical review Heisenberg`s dog and quantum computing

... above, we went through much trouble to reduce the HD concept to something more mundane. The utter simplicity that characterizes present-day SchroÈdinger’s cats has not been achieved as yet, but we are con®dent that the readers will appreciate the progress that has been made. This is followed, in sec ...
2014-15 Archived Abstracts
2014-15 Archived Abstracts

... perimeter law entanglement, 2­D systems such as the fractional quantum Hall effect are harder to simulate by MPS. We will show that many fractional quantum Hall states have an exact infinite MPS representation. We will discuss how a controlled truncation can be performed on this representation and w ...
Particle emission from a hot, deformed, and rotating nucleus
Particle emission from a hot, deformed, and rotating nucleus

... v of particles, the fraction of the flux penetrating the barrier with an angular momentum l~ and a final energy e. The argument r denotes all further parameters upon which the transmission coefficient depends. For the emission from a deformed, rapidly rotating nucleus, the transmission coefficient d ...
C. 11
C. 11

Paper
Paper

... system. Theoretically, the condensate should be described by a macroscopic wave function, behaving like a ‘‘giant matter wave’’ which is characterized by long-range order. The first experiments on BEC focused on the energetics of BoseEinstein condensation, i.e., they showed that Bose-Einstein conden ...
Lagrange`s and Hamilton`s Equations
Lagrange`s and Hamilton`s Equations

... We now apply the notion of the Legendre transform to the classical Lagrangian. In our previous developments, we have taken L to be a function of all the generalized coordinates and their respective time derivatives; i.e. L = L({qi }, {q̇i }, t). For generality, we have also included the possibility ...
Transition Probabilities and Selection Rules
Transition Probabilities and Selection Rules

Document
Document

... The theory is therefore consistent. But it appears (to some) that one is paying too high a price: the contravariant metric identically vanishes. This is not uncommon in field theory. The contravariant metric is a highly non-linear combination of the fundamental variables and its relation to operato ...
Dynamics of Entanglement for Two-Electron Atoms
Dynamics of Entanglement for Two-Electron Atoms

... continuous degrees of freedom. The ”bipartite” quantum system consists of two electrons interacting with each other and with a fixed center. The Hamiltonian for the system is given ...
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Wave–particle duality

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