hidden symmetry and explicit spheroidal eigenfunctions of the
... The Schrödinger equation for a hydrogenic atom is separable in prolate spheroidal coordinates, as a consequence of the “hidden symmetry” stemming from the fixed spatial orientation of the classical Kepler orbits. One focus is at the nucleus and the other a distance R away along the major axis of the ...
... The Schrödinger equation for a hydrogenic atom is separable in prolate spheroidal coordinates, as a consequence of the “hidden symmetry” stemming from the fixed spatial orientation of the classical Kepler orbits. One focus is at the nucleus and the other a distance R away along the major axis of the ...
The Monte Carlo Method in Quantum Mechanics Colin Morningstar Carnegie Mellon University
... The die is cast? in rare situations, the path integrals can be computed ...
... The die is cast? in rare situations, the path integrals can be computed ...
Quantum numbers and Angular Momentum Algebra Quantum
... quantum numbers and how we build up a single-particle state and a two-body state, and obviously our final holy grail, a many-boyd state. For the single-particle states, due to the fact that we have the spin-orbit force, the quantum numbers for the projection of orbital momentum l, that is ml , and f ...
... quantum numbers and how we build up a single-particle state and a two-body state, and obviously our final holy grail, a many-boyd state. For the single-particle states, due to the fact that we have the spin-orbit force, the quantum numbers for the projection of orbital momentum l, that is ml , and f ...
High-resolution laser spectroscopy and Zeeman effect of nitrate radical
... 3. The 0 – 0 band of the 14NO3 isotopologue [2,4] More than 3000 rotational lines with less rotational regularity were found in the observed 15070 – 15145 cm-1 region. Based on the NO2 experiment the contamination of the NO2 signals was confirmed to be negligible in this energy region. In the observ ...
... 3. The 0 – 0 band of the 14NO3 isotopologue [2,4] More than 3000 rotational lines with less rotational regularity were found in the observed 15070 – 15145 cm-1 region. Based on the NO2 experiment the contamination of the NO2 signals was confirmed to be negligible in this energy region. In the observ ...
PDF (Thesis)
... memory) while at the same time being under continuous quantum measurement (by the probe field). This aims at providing a general framework for analyzing a large class of non-Markovian measurement processes. Chapter 5 develops a way of characterizing the non-Markovianity of a bath (i.e.,whether and t ...
... memory) while at the same time being under continuous quantum measurement (by the probe field). This aims at providing a general framework for analyzing a large class of non-Markovian measurement processes. Chapter 5 develops a way of characterizing the non-Markovianity of a bath (i.e.,whether and t ...
Kitaev - Anyons
... occur in two dimensions. Quantum statistics may be understood as a special kind of interaction: when two particles interchange along some specified trajectories, the overall quantum state is multiplied by eiu. In three dimensions, there is only one topologically distinct way to swap two particles. Tw ...
... occur in two dimensions. Quantum statistics may be understood as a special kind of interaction: when two particles interchange along some specified trajectories, the overall quantum state is multiplied by eiu. In three dimensions, there is only one topologically distinct way to swap two particles. Tw ...
Fast Equivalence-checking for Quantum Circuits
... Reversible miters speed up equivalence-checking by exploiting similarities in circuits by two distinct mechanisms. 1) Local Simplification of Reversible Miters: When two conventional circuits end with identical gate sequences, one cannot cancel out these sequences because of observability don’t-care ...
... Reversible miters speed up equivalence-checking by exploiting similarities in circuits by two distinct mechanisms. 1) Local Simplification of Reversible Miters: When two conventional circuits end with identical gate sequences, one cannot cancel out these sequences because of observability don’t-care ...
Achieving quantum supremacy with sparse and noisy commuting
... We also remark that, for IQP circuits, this notion of noise is equivalent to applying depolarising noise to the qubits at the start of the computation. This is because noise at the start of the computation is equivalent to replacing the initial state |0n i with a state |yi where y is distributed as ...
... We also remark that, for IQP circuits, this notion of noise is equivalent to applying depolarising noise to the qubits at the start of the computation. This is because noise at the start of the computation is equivalent to replacing the initial state |0n i with a state |yi where y is distributed as ...
Quantum Physics
... and x ∝ Nx = N cos2 , y ∝ Ny = N sin2 in the limit N → . However, the fate of an individual photon cannot be predicted. We can only know its probability of detection by Dx or Dy . The need to resort to probabilities is an intrinsic feature of quantum physics, whereas in classical physics resortin ...
... and x ∝ Nx = N cos2 , y ∝ Ny = N sin2 in the limit N → . However, the fate of an individual photon cannot be predicted. We can only know its probability of detection by Dx or Dy . The need to resort to probabilities is an intrinsic feature of quantum physics, whereas in classical physics resortin ...
entanglement properties of quantum many
... ferromagnetic order. A special case, the transverse Ising model, received the most attention. There was much subsequent work on quantum spin chains along similar lines, driven by their tractability and by the equivalence of spin-1/2 with the qubit of quantum information theory. A is associated with ...
... ferromagnetic order. A special case, the transverse Ising model, received the most attention. There was much subsequent work on quantum spin chains along similar lines, driven by their tractability and by the equivalence of spin-1/2 with the qubit of quantum information theory. A is associated with ...
Fractional Fourier–Kravchuk transform
... (1.2)] are on the x axis. We regard the Newton equations (1.6) as the fundamental dynamical definition of a waveguide; they are satisfied (of course) by the Schrödinger differential operator (1.5) but also by a difference operator [see Eq. (3.8) below]. The latter describes an intrinsically discret ...
... (1.2)] are on the x axis. We regard the Newton equations (1.6) as the fundamental dynamical definition of a waveguide; they are satisfied (of course) by the Schrödinger differential operator (1.5) but also by a difference operator [see Eq. (3.8) below]. The latter describes an intrinsically discret ...
CDM article on quantum chaos - Department of Mathematics
... XΓ = Γ\H, where H is the hyperbolic plane and Γ ⊂ P SL(2, R) is a discrete subgroup. Of special interest are the arithmetic quotients when Γ is a discrete arithmetic subgroup. Other model example include Euclidean domains with ergodic billiards such as the Bunimovich stadium. The general question is ...
... XΓ = Γ\H, where H is the hyperbolic plane and Γ ⊂ P SL(2, R) is a discrete subgroup. Of special interest are the arithmetic quotients when Γ is a discrete arithmetic subgroup. Other model example include Euclidean domains with ergodic billiards such as the Bunimovich stadium. The general question is ...
Creation and manipulation of entanglement in spin chains far from
... both cases, the entanglement generated between the two ending spins is maximal and controlled by the parameter γ and the chain length N . Note that J0 → 0 corresponds to the infinitely anisotropic limit γ̃ → ∞. One important point is worth being mentioned: the concurrence approaches unity in the li ...
... both cases, the entanglement generated between the two ending spins is maximal and controlled by the parameter γ and the chain length N . Note that J0 → 0 corresponds to the infinitely anisotropic limit γ̃ → ∞. One important point is worth being mentioned: the concurrence approaches unity in the li ...
PDF file - Physics & Astronomy
... nature, the SP eigenmodes of small nanoplasmonic systems are localized and nonpropagating. This generally follows from the fact that the eigenproblem (1.25) is real and has real eigenvalues, implying time-reversal invariance and, consequently, zero current carried by any eigenmode. From the early da ...
... nature, the SP eigenmodes of small nanoplasmonic systems are localized and nonpropagating. This generally follows from the fact that the eigenproblem (1.25) is real and has real eigenvalues, implying time-reversal invariance and, consequently, zero current carried by any eigenmode. From the early da ...
Quantum Annealing with Markov Chain Monte Carlo Simulations
... In contrast to the fact that research laboratories can usually manage quantum computers with up to about a dozen of qubits, D-Wave devices utilize a solid state architecture with over a thousand of interlaced superconducting flux qubits. The manufacturing methods and computing technologies of the D- ...
... In contrast to the fact that research laboratories can usually manage quantum computers with up to about a dozen of qubits, D-Wave devices utilize a solid state architecture with over a thousand of interlaced superconducting flux qubits. The manufacturing methods and computing technologies of the D- ...
ppt - Harvard Condensed Matter Theory group
... Rich vortex physics of F=2 nematic states. Non-Abelian fundamental group. Spinor condensates in an optical lattice. Exchange interactions in the insulating states can lead to various kinds of magnetic ordering. ...
... Rich vortex physics of F=2 nematic states. Non-Abelian fundamental group. Spinor condensates in an optical lattice. Exchange interactions in the insulating states can lead to various kinds of magnetic ordering. ...
An Introduction to Applied Quantum Mechanics in the Wigner Monte
... functions (Keldysh), and still they provide the very same predictions as the Schrödinger equation. In a sense, the situation is not any different than classical mechanics where different, but mathematically equivalent, formalisms (such as Newtonian, Langrangian, Hamiltonian, etc.) can be utilized ...
... functions (Keldysh), and still they provide the very same predictions as the Schrödinger equation. In a sense, the situation is not any different than classical mechanics where different, but mathematically equivalent, formalisms (such as Newtonian, Langrangian, Hamiltonian, etc.) can be utilized ...
Entanglement Witnesses
... • State acts as teleportation channel fidelity exceeds classical value (e.g., 2/3 in 2-d) ...
... • State acts as teleportation channel fidelity exceeds classical value (e.g., 2/3 in 2-d) ...