PT -Symmetric Models in Classical and Quantum Mechanics
... ambiguity associated with the infinity of admissable contours is resolved by analytically continuing (1.3) away from the familiar Harmonic oscillator equation obtained at = 0 [5]. Outside the realm of associated differential equations (1.2), a replacement of the Hermiticity condition raises import ...
... ambiguity associated with the infinity of admissable contours is resolved by analytically continuing (1.3) away from the familiar Harmonic oscillator equation obtained at = 0 [5]. Outside the realm of associated differential equations (1.2), a replacement of the Hermiticity condition raises import ...
classical / quantum theory of 2-dimensional hydrogen
... accomplished by imposition of a requirement that the associated eigenfunctions be single -valued. I turn now, therefore, to discussion of the physical solutions of the Schrödinger equation. See, for example, Schiff’s §27, Mertzbacher’s Chapter 16, or §§4.3 & 4.4 in D. Griffiths’ Introduction to Quantu ...
... accomplished by imposition of a requirement that the associated eigenfunctions be single -valued. I turn now, therefore, to discussion of the physical solutions of the Schrödinger equation. See, for example, Schiff’s §27, Mertzbacher’s Chapter 16, or §§4.3 & 4.4 in D. Griffiths’ Introduction to Quantu ...
Dynamics of the quantum Duffing oscillator in the driving induced q
... duces an effective dynamic bistability which is manifest by the non-monotoneous dependence of the amplitude A of the stationary vibrations for varying x. For the classical system where all potential energies are allowed, this response curve A(x) is smooth showing only two points of bifurcation for th ...
... duces an effective dynamic bistability which is manifest by the non-monotoneous dependence of the amplitude A of the stationary vibrations for varying x. For the classical system where all potential energies are allowed, this response curve A(x) is smooth showing only two points of bifurcation for th ...
Quantum Optics Experiments with Single Photons for Undergraduate Laboratories
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
Electron interferometry - Fondation Louis de Broglie
... the environment. Its importance was recognized by Zeh in 1969 [18, 19]. In the following years, initially only a few authors (Zeh, Zurek, Joos, and others) worked on this topic and investigated the dynamics of systems interacting with their environment. In the last decade, the interest in decoherenc ...
... the environment. Its importance was recognized by Zeh in 1969 [18, 19]. In the following years, initially only a few authors (Zeh, Zurek, Joos, and others) worked on this topic and investigated the dynamics of systems interacting with their environment. In the last decade, the interest in decoherenc ...
1 - the David R. Cheriton School of Computer Science
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
AH Physics QuantumTheoryTeachersNotes Mary
... Physics and it may be useful to start with this graph and add that the frequency graph is similar but the shape is reversed, ie there is a gradual rise at low frequencies and more rapid fall off at high frequencies. Also in Higher Physics we introduced the quantity specific intensity, I, of the radi ...
... Physics and it may be useful to start with this graph and add that the frequency graph is similar but the shape is reversed, ie there is a gradual rise at low frequencies and more rapid fall off at high frequencies. Also in Higher Physics we introduced the quantity specific intensity, I, of the radi ...
Document
... “ For the atoms of ultracold gases in optical lattices, Feshbach resonances can be used to increase the collisional interactions and thereby speed up gate operations. However, the ‘unitarity limit’ in scattering theory does not allow the collisional interaction energy to be increased beyond the on-s ...
... “ For the atoms of ultracold gases in optical lattices, Feshbach resonances can be used to increase the collisional interactions and thereby speed up gate operations. However, the ‘unitarity limit’ in scattering theory does not allow the collisional interaction energy to be increased beyond the on-s ...
Chapter 4 Orbital angular momentum and the hydrogen atom
... symmetric potentials und use the angular momentum operator to compute the energy spectrum of hydrogen-like atoms. ...
... symmetric potentials und use the angular momentum operator to compute the energy spectrum of hydrogen-like atoms. ...
A strong hybrid couple
... class of light-harvesting protein and the channels that might allow electrontransporting molecules to escape this otherwise closed system. See Article p.228 ...
... class of light-harvesting protein and the channels that might allow electrontransporting molecules to escape this otherwise closed system. See Article p.228 ...
Quantum and Classical Correlations in Quantum Brownian Motion
... is separable if and only if i TE 0 [11]. The next step is to see that with > 0 as in Eq. (1) ~ T i TE 12N2 i TE 0; T T H since ki TE k 1 and T 2 SO2N 2. Equipped with these tools, one can construct a class of product initial states such that the joint state of the system a ...
... is separable if and only if i TE 0 [11]. The next step is to see that with > 0 as in Eq. (1) ~ T i TE 12N2 i TE 0; T T H since ki TE k 1 and T 2 SO2N 2. Equipped with these tools, one can construct a class of product initial states such that the joint state of the system a ...
THE MINIMUM-UNCERTAINTY SQUEEZED STATES FOR ATOMS
... of solution of certain Ermakov-type system [104], [105]. The corresponding generalizations of Fock states, which were originally found in [116] and recently rediscovered in [105], are discussed in detail. As a result, the probability amplitudes of these nonclassical states of motion are explicitly e ...
... of solution of certain Ermakov-type system [104], [105]. The corresponding generalizations of Fock states, which were originally found in [116] and recently rediscovered in [105], are discussed in detail. As a result, the probability amplitudes of these nonclassical states of motion are explicitly e ...
Classical analogy of Fano resonances
... There is an analogy between the classical system of the coupled oscillators, which we have investigated in section 2, and a system of the coupled waves in an electronic waveguide. In order to see the connection between an asymmetric lineshape near the resonant frequency in the coupled oscillators an ...
... There is an analogy between the classical system of the coupled oscillators, which we have investigated in section 2, and a system of the coupled waves in an electronic waveguide. In order to see the connection between an asymmetric lineshape near the resonant frequency in the coupled oscillators an ...
Orders / Phases of matter
... B) crossings of chiral edge states through Fermi-level - even number of crossings: edge states can be removed from the band gap area - odd number of crossings: edge states cannot be removed completely from band gap area → that's the topologically protected chiral edge states → bulk-boundary correspo ...
... B) crossings of chiral edge states through Fermi-level - even number of crossings: edge states can be removed from the band gap area - odd number of crossings: edge states cannot be removed completely from band gap area → that's the topologically protected chiral edge states → bulk-boundary correspo ...
Angular momenta dynamics in magnetic and electric
... momentum are often easier to solve. This makes it possible to treat a whole class of problems, which, from a quantum theory viewpoint, are extremely complicated. For example, one such problem is the interaction of intense laser radiation with molecules in an external electric or magnetic field; see, ...
... momentum are often easier to solve. This makes it possible to treat a whole class of problems, which, from a quantum theory viewpoint, are extremely complicated. For example, one such problem is the interaction of intense laser radiation with molecules in an external electric or magnetic field; see, ...
Article. - NUS School of Computing
... beginning, when they are possibly together, in which case they do not require a quantum channel. Later they can use these EPR pairs to transfer several quantum states when they are spatially separated. Let us now see how Bennett el al. [2] achieve teleportation. Let us first note that in order to sh ...
... beginning, when they are possibly together, in which case they do not require a quantum channel. Later they can use these EPR pairs to transfer several quantum states when they are spatially separated. Let us now see how Bennett el al. [2] achieve teleportation. Let us first note that in order to sh ...
Quantum Numbers and Orbitals
... When using the Schrodinger equation for a H atom, we find many orbital that satisfy it. We use a series of numbers called quantum numbers to describe the properties of the orbital. Principal Quantum Number (n) The principal quantum number (n) has values that range from 1 to infinity (1, 2, 3, 4, ...
... When using the Schrodinger equation for a H atom, we find many orbital that satisfy it. We use a series of numbers called quantum numbers to describe the properties of the orbital. Principal Quantum Number (n) The principal quantum number (n) has values that range from 1 to infinity (1, 2, 3, 4, ...
Werner Heisenberg - Nobel Lecture
... the Compton effect. Consequently only one point of the path would be observable experimentally at any one time. In this situation, therefore, the obvious policy was to relinquish at first the concept of electron paths altogether, despite its substantiation by Wilson’s experiments, and, as it were, t ...
... the Compton effect. Consequently only one point of the path would be observable experimentally at any one time. In this situation, therefore, the obvious policy was to relinquish at first the concept of electron paths altogether, despite its substantiation by Wilson’s experiments, and, as it were, t ...
Electron-Positron Scattering
... To associate each diagram with an actual formula for the corresponding amplitude, we use what are called the Feynman rules. The rules tell us to write a brief formula for each part of a diagram (each external line, each internal line, and each vertex), then multiply these expressions together to obt ...
... To associate each diagram with an actual formula for the corresponding amplitude, we use what are called the Feynman rules. The rules tell us to write a brief formula for each part of a diagram (each external line, each internal line, and each vertex), then multiply these expressions together to obt ...