Quantum computing the Jones polynomial
... How hard is to evaluate the Jones polynomial from a computational point of view? We know that there are no efficient classical algorithms for its evaluation: the Jones polynomial is a #P-hard problem Can we provide an efficient quantum algorithm? Jaeger, Vertigan and Welsh, On the computationa ...
... How hard is to evaluate the Jones polynomial from a computational point of view? We know that there are no efficient classical algorithms for its evaluation: the Jones polynomial is a #P-hard problem Can we provide an efficient quantum algorithm? Jaeger, Vertigan and Welsh, On the computationa ...
The Phase Space and Cotangent Quantisation
... Now, let Y ⊆ X be a codimension 1 submanifold. The phase space of a classical system on the submanifold Y is defined to be the space of germs of solutions to the equations of motion on Y . Again, let’s discuss this in an example where we can see what’s going on explicitly. Example 1.3 (Twisted N = 1 ...
... Now, let Y ⊆ X be a codimension 1 submanifold. The phase space of a classical system on the submanifold Y is defined to be the space of germs of solutions to the equations of motion on Y . Again, let’s discuss this in an example where we can see what’s going on explicitly. Example 1.3 (Twisted N = 1 ...
Quantum Mechanics of Lowest Landau Level Derived from N= 4
... In the present paper, we consider N = 4 SYM on a sphere with the chemical potential, µ, and show that the states of the low energy effective theory with µ ∼ 1 are the half-BPS states. This gives a clear physical picture of the decoupling limit that isolates the half-BPS states from other states of t ...
... In the present paper, we consider N = 4 SYM on a sphere with the chemical potential, µ, and show that the states of the low energy effective theory with µ ∼ 1 are the half-BPS states. This gives a clear physical picture of the decoupling limit that isolates the half-BPS states from other states of t ...
Equidistant spectra of anharmonic oscillators
... oscillators having equidistant spectra and excluding the spreading of arbitrary wave packets is of definite interest in view of the problem of "quantum chaosM4and, possibly, the problem of quantizing inherently nonlinear fields. The reason is that with anharmonic oscillators having an equidistant sp ...
... oscillators having equidistant spectra and excluding the spreading of arbitrary wave packets is of definite interest in view of the problem of "quantum chaosM4and, possibly, the problem of quantizing inherently nonlinear fields. The reason is that with anharmonic oscillators having an equidistant sp ...
Full Text PDF
... (i) The Dunham function (2) including the potential parameters {α} obtained by the fit to experimental data, frequently differs from RKR curves which are commonly regarded as true molecular potential curves. (ii) The Dunham expansion (3) has a poor convergence, and sometimes it is necessary to use u ...
... (i) The Dunham function (2) including the potential parameters {α} obtained by the fit to experimental data, frequently differs from RKR curves which are commonly regarded as true molecular potential curves. (ii) The Dunham expansion (3) has a poor convergence, and sometimes it is necessary to use u ...
Quantum fluctuations can promote or inhibit glass formation
... well-established classical MCT, whereas at zero temperature it reduces precisely to the aforementioned T = 0 quantum theory. The structure of these two theories is markedly different, suggesting the possibility of non-trivial emergent physics over the full range of parameters that tune between the c ...
... well-established classical MCT, whereas at zero temperature it reduces precisely to the aforementioned T = 0 quantum theory. The structure of these two theories is markedly different, suggesting the possibility of non-trivial emergent physics over the full range of parameters that tune between the c ...
Strict Relationship: Potential - energy levels
... One of the challenging problems in nonrelativistic quantum mechanics is to find exact solutions to the Schrödinger equation for potentials that proves to be useful to model phenomena in nuclear physics, solid state physics, molecular-atomic physics, and laser theory. Since its appearance, there have ...
... One of the challenging problems in nonrelativistic quantum mechanics is to find exact solutions to the Schrödinger equation for potentials that proves to be useful to model phenomena in nuclear physics, solid state physics, molecular-atomic physics, and laser theory. Since its appearance, there have ...
Some Aspects of Quantum Mechanics of Particle Motion in
... For all the explored metrics, assuming existence of event horizons, the conditions of a “fall” of a particle to the appropriate event horizons are implemented. The exclusion is one of the solutions for the Reissner-Nordström extreme field with the single event horizon. In this case, while fulfilling ...
... For all the explored metrics, assuming existence of event horizons, the conditions of a “fall” of a particle to the appropriate event horizons are implemented. The exclusion is one of the solutions for the Reissner-Nordström extreme field with the single event horizon. In this case, while fulfilling ...
Gauge Field Theory - High Energy Physics Group
... to find the particle and that this should be normalized to one. But a priori, this integral could be a function of t, in which case either the total probability to find the particle would change with time (when it should be fixed at unity) or (if we let the normalization constant be time-dependent) ...
... to find the particle and that this should be normalized to one. But a priori, this integral could be a function of t, in which case either the total probability to find the particle would change with time (when it should be fixed at unity) or (if we let the normalization constant be time-dependent) ...
Physics 610: Quantum Optics
... lectures will cover material on the fully-quantum mechanical description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measurements, and ...
... lectures will cover material on the fully-quantum mechanical description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measurements, and ...
qm-cross-sections
... We see that conservation of energy automatically appears if the time interval T is long enough. We will use (13) to calculate the quantum mechanical cross section in the first approximation (Born approximation) of the S-matrix. Note that the matrix element is, ...
... We see that conservation of energy automatically appears if the time interval T is long enough. We will use (13) to calculate the quantum mechanical cross section in the first approximation (Born approximation) of the S-matrix. Note that the matrix element is, ...
Quantum Control in the Classical Limit: Can the
... 1. The sign and magnitude of the dipole can be manipulated by varying the relative phase between the frequency components of the laser -irrespective of the initial state. 2. In the zero-anharmonicity limit all symmetry breaking effects are lost ...
... 1. The sign and magnitude of the dipole can be manipulated by varying the relative phase between the frequency components of the laser -irrespective of the initial state. 2. In the zero-anharmonicity limit all symmetry breaking effects are lost ...
and : formal 1D calculations - Sociedade Brasileira de Física
... (in which we used relation (20)). Only one boundary condition involving the vanishing of the boundary term in Eq. (13), but also leading to the vanishing of the probability current density at the ends of the interval Ω, gives the equation d ⟨x̂⟩ /dt = ⟨p̂⟩ /m. This scenario is clearly possible, for ...
... (in which we used relation (20)). Only one boundary condition involving the vanishing of the boundary term in Eq. (13), but also leading to the vanishing of the probability current density at the ends of the interval Ω, gives the equation d ⟨x̂⟩ /dt = ⟨p̂⟩ /m. This scenario is clearly possible, for ...
Lecture by John F. Nash Jr.
... It was a quite different route that led us to the specific form of Lagrangian that leads to our vacuum equation. More that 10 years ago I sought to find a natural equation suitable for what I thought of as a Yukawa-like gravitational field where the factor of 1/r in the decay of the potential at lar ...
... It was a quite different route that led us to the specific form of Lagrangian that leads to our vacuum equation. More that 10 years ago I sought to find a natural equation suitable for what I thought of as a Yukawa-like gravitational field where the factor of 1/r in the decay of the potential at lar ...
