Objectives Chapter 4 Objectives, continued Chapter 4 Bohr Model of
... photon knocks the electron off its course. • The Heisenberg uncertainty principle states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. ...
... photon knocks the electron off its course. • The Heisenberg uncertainty principle states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. ...
Slide 1
... • Short, intense pulses – either the atomic evolution is “free” (no coupling) or dominated by the interaction (internal and external components of Hamiltonian ignored) • π-pulses (timed to transfer atoms in state 1 to be in state 2, & ...
... • Short, intense pulses – either the atomic evolution is “free” (no coupling) or dominated by the interaction (internal and external components of Hamiltonian ignored) • π-pulses (timed to transfer atoms in state 1 to be in state 2, & ...
A Critical Reexamination of the Electrostatic Aharonov
... field, there is no net magnetic force on it. Nevertheless, its energy on this path differs from its energy on the other path by an amount of magnitude B for time t, which would seem to generate a phase shift = Bt/ħ. A phase difference of this magnitude has in fact been confirmed in observations ...
... field, there is no net magnetic force on it. Nevertheless, its energy on this path differs from its energy on the other path by an amount of magnitude B for time t, which would seem to generate a phase shift = Bt/ħ. A phase difference of this magnitude has in fact been confirmed in observations ...
Generalized Entropies
... gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational interpretations within thermod ...
... gives an expression for the classical capacity of a classical[29] or a quantum[30] channel, as well as its “reverse” capacity[31]. Additional applications can be found particularly in quantum cryptography (see, e.g., [8, 32, 33]). Smooth entropies also have operational interpretations within thermod ...
The energy conservation law in classical electrodynamics
... representing practical interest6 . Therefore the error in the proof, which would be possible to establish by a comparison of the solutions following from the laws of conservation and from the equations of motion, on particular examples was not discovered. We have shown that the energy conservation ...
... representing practical interest6 . Therefore the error in the proof, which would be possible to establish by a comparison of the solutions following from the laws of conservation and from the equations of motion, on particular examples was not discovered. We have shown that the energy conservation ...
Grand unification and enhanced quantum gravitational effects
... at the grand unified scale [3, 4], and, since their precise size is only determined by Planck scale physics, introduce uncertainties in predictions of grand unification [5]. In this letter we identify an additional uncertainty, arising from the renormalization of the quantum gravity scale itself. We ...
... at the grand unified scale [3, 4], and, since their precise size is only determined by Planck scale physics, introduce uncertainties in predictions of grand unification [5]. In this letter we identify an additional uncertainty, arising from the renormalization of the quantum gravity scale itself. We ...
Gravitation and quantum interference experiments with neutrons
... mirror makes use of the strong interaction between nuclei and UCN, resulting in an effective repulsive force. The potential may also be based on the gradient of the magnetic dipole interaction. Retroreflectors for atoms have used the electric dipole force in an evanescent light wave [13, 14] or are ...
... mirror makes use of the strong interaction between nuclei and UCN, resulting in an effective repulsive force. The potential may also be based on the gradient of the magnetic dipole interaction. Retroreflectors for atoms have used the electric dipole force in an evanescent light wave [13, 14] or are ...
( ) New Faculty Bruce Knuteson
... unbiased yet data-driven search? Humans are notoriously good at finding patterns in data, even when there are none to be found; can we rigorously quantify, in an unbiased way, the “interestingness” of apparent anomalies after looking at the data? Knuteson’s research directly confronts these issues i ...
... unbiased yet data-driven search? Humans are notoriously good at finding patterns in data, even when there are none to be found; can we rigorously quantify, in an unbiased way, the “interestingness” of apparent anomalies after looking at the data? Knuteson’s research directly confronts these issues i ...
Manipulating and Measuring the Quantum State of Photons and Atoms
... rough msmt of a given rate first and then deciding how long to acquire data on that point. (b) Could also measure populations first, and then avoid wasting time on coherences which would close to 0. (c) Even if r has only a few significant eigenvalues, is there a way to quickly figure out in which b ...
... rough msmt of a given rate first and then deciding how long to acquire data on that point. (b) Could also measure populations first, and then avoid wasting time on coherences which would close to 0. (c) Even if r has only a few significant eigenvalues, is there a way to quickly figure out in which b ...
Remarks on the Boundary conditions of the Radial Schrodinger
... Schrodinger equation if and only if the boundary condition u ( 0 ) = 0 is fulfilled. The radial equation (1) together with boundary condition (12) is equivalent to the full Schrodinger equation (2). Some comments are in order now: Equation for R ( r ) has its usual form. Problem with delta function ...
... Schrodinger equation if and only if the boundary condition u ( 0 ) = 0 is fulfilled. The radial equation (1) together with boundary condition (12) is equivalent to the full Schrodinger equation (2). Some comments are in order now: Equation for R ( r ) has its usual form. Problem with delta function ...
Do we need the Concept of Particle?
... Thus, at first sight, Darwin and Mott adopted exactly the position that Schrödinger was advocating in 1926. However, they introduced many important qualifications to this position, and it was precisely by means of these qualifications that they were able to overcome the difficulties which plagued th ...
... Thus, at first sight, Darwin and Mott adopted exactly the position that Schrödinger was advocating in 1926. However, they introduced many important qualifications to this position, and it was precisely by means of these qualifications that they were able to overcome the difficulties which plagued th ...
The HYDROGEN BOND
... That is pretty much the whole mechanics, such as it is. This description goes back to 1912, and it ...
... That is pretty much the whole mechanics, such as it is. This description goes back to 1912, and it ...
Experimental Implementation of Encoded Logical Qubit Operations
... at qubit 5 and the corresponding error correction [15]. Combining experimental results and simulation, we estimate that the field inhomogeneity and the imperfect implementation of the pulses contribute 0:09 to the loss of fidelity. Additionally, the limit of T2 and the imprecision in characterizin ...
... at qubit 5 and the corresponding error correction [15]. Combining experimental results and simulation, we estimate that the field inhomogeneity and the imperfect implementation of the pulses contribute 0:09 to the loss of fidelity. Additionally, the limit of T2 and the imprecision in characterizin ...
The mystery of square root of minus one in quantum mechanics, and
... derive a new version of the above noncommutative relationship which contains only real elements. We then move on to examine the role of i in the time-dependent Schrödinger equation following the line of thought of Schrödinger. We argue that the equation is necessarily complex only because we deman ...
... derive a new version of the above noncommutative relationship which contains only real elements. We then move on to examine the role of i in the time-dependent Schrödinger equation following the line of thought of Schrödinger. We argue that the equation is necessarily complex only because we deman ...
A n - USM
... we will call the mathematical representation of the de Broglie’s wave / matter wave associated with a given particle (or an physical entity) as The wave function, Y ...
... we will call the mathematical representation of the de Broglie’s wave / matter wave associated with a given particle (or an physical entity) as The wave function, Y ...
Heralded atomic-ensemble quantum memory for photon polarization states
... of a single quantized spin-wave excitation of the ensemble (magnon) into a photon [12]. ...
... of a single quantized spin-wave excitation of the ensemble (magnon) into a photon [12]. ...
Turing machine
... In mathematical logic, predicate logic is the symbolic formal systems like first-order logic, second-order logic or many-sorted logic. This formal system is distinguished from other systems in that its formulae contain variables which can be quantified. Two common quantifiers are the existential ∃ ( ...
... In mathematical logic, predicate logic is the symbolic formal systems like first-order logic, second-order logic or many-sorted logic. This formal system is distinguished from other systems in that its formulae contain variables which can be quantified. Two common quantifiers are the existential ∃ ( ...