Probability Current and Current Operators in Quantum Mechanics 1
... current density? By the form of this question, mainly we are concerned with states described in real space, so the interest is primarily in their real space representations, or their real space wave functions. Charge current is associated with the quantum motion of the charges. But motion in quantum ...
... current density? By the form of this question, mainly we are concerned with states described in real space, so the interest is primarily in their real space representations, or their real space wave functions. Charge current is associated with the quantum motion of the charges. But motion in quantum ...
Metric fluctuations and decoherence
... The decoherence time depends strongly on the scale of the energy difference E. For example, E = 1eV gives a decoherence time of the order of 1013 s, while E = 1MeV leads to a decoherence time of the order of 10 s. 5. Summary and discussion In [7] we showed that a fluctuating spacetime metric woul ...
... The decoherence time depends strongly on the scale of the energy difference E. For example, E = 1eV gives a decoherence time of the order of 1013 s, while E = 1MeV leads to a decoherence time of the order of 10 s. 5. Summary and discussion In [7] we showed that a fluctuating spacetime metric woul ...
Details
... If we could use this state, it would be possible to make a long-lived quantum memory without decreasing the coupling between the superconducting flux qubit and spin ensemble in diamond. Therefore, it is hoped to understand the origin of this unknown state for the realization of a practical long-live ...
... If we could use this state, it would be possible to make a long-lived quantum memory without decreasing the coupling between the superconducting flux qubit and spin ensemble in diamond. Therefore, it is hoped to understand the origin of this unknown state for the realization of a practical long-live ...
1 Section 1.1: Vectors Definition: A Vector is a quantity that has both
... Applications to Physics and Engineering: A force is represented by a vector because it has both magnitude (measured in pounds or newtons) and direction. If several forces are acting on an object, the resultant force experienced by the object is the vector sum of the forces. EXAMPLE 5: Ben walks due ...
... Applications to Physics and Engineering: A force is represented by a vector because it has both magnitude (measured in pounds or newtons) and direction. If several forces are acting on an object, the resultant force experienced by the object is the vector sum of the forces. EXAMPLE 5: Ben walks due ...
Full-Text PDF
... “Husimi–Fisher” bridges. It is well-known that the oldest and most elaborate phase space (PS) formulation of quantum mechanics is that of Wigner [18, 19]. To every quantum state a PS function (the Wigner one) can be assigned. This PS function can, regrettably enough, assume negative values so that a ...
... “Husimi–Fisher” bridges. It is well-known that the oldest and most elaborate phase space (PS) formulation of quantum mechanics is that of Wigner [18, 19]. To every quantum state a PS function (the Wigner one) can be assigned. This PS function can, regrettably enough, assume negative values so that a ...
here
... • Suppose an atom is exposed to electromagnetic radiation for a certain duration (e.g. shine monochromatic light (e.g. from a laser) on an atom). How does it affect the atom? The atom is typically in a stationary state before the light was turned on. An interesting question is whether the atom will ...
... • Suppose an atom is exposed to electromagnetic radiation for a certain duration (e.g. shine monochromatic light (e.g. from a laser) on an atom). How does it affect the atom? The atom is typically in a stationary state before the light was turned on. An interesting question is whether the atom will ...
Spin and Quantum Measurement
... about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representation used in the SPINS software program that you may use to simulate these experiments. The SPINS program allows you to perform all the e ...
... about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representation used in the SPINS software program that you may use to simulate these experiments. The SPINS program allows you to perform all the e ...
Monday, Apr. 14, 2014
... barrier. Classically, the particle would speed up passing the well region, because K = mv2 / 2 = E - V0. According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the potential well is shorter than outside. When the width of the potential well is precisely equa ...
... barrier. Classically, the particle would speed up passing the well region, because K = mv2 / 2 = E - V0. According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the potential well is shorter than outside. When the width of the potential well is precisely equa ...
How to Construct Quantum Random Functions
... second step, a classical adversary can only query PRF on polynomially many points, so the paths used to evaluate PRF only visit polynomially many nodes in each level. Therefore, we only need polynomially many hybrids for the second hybrid argument. This allows any adversary A that breaks the securit ...
... second step, a classical adversary can only query PRF on polynomially many points, so the paths used to evaluate PRF only visit polynomially many nodes in each level. Therefore, we only need polynomially many hybrids for the second hybrid argument. This allows any adversary A that breaks the securit ...
PHYS 241 Recitation
... periodic functions when they have the correct operations defined • We will primarily use a vector space called the Cartesian plane or its 3D analog. It is the set of ordered pairs (triples) of real numbers with appropriate operations defined for addition and multiplication ...
... periodic functions when they have the correct operations defined • We will primarily use a vector space called the Cartesian plane or its 3D analog. It is the set of ordered pairs (triples) of real numbers with appropriate operations defined for addition and multiplication ...
Freezing of Reality: Is Flow of Time Real?
... other words, time has no “beginning”: it emerges in a certain region of space-time (close to that what we call the Big Bang) from one of four dimensions that have a spatial character (Hawking, 1988; Davies, 1996). Due to relational conceptions, for instance Leibnitz’s philosophy or Einstein’s genera ...
... other words, time has no “beginning”: it emerges in a certain region of space-time (close to that what we call the Big Bang) from one of four dimensions that have a spatial character (Hawking, 1988; Davies, 1996). Due to relational conceptions, for instance Leibnitz’s philosophy or Einstein’s genera ...
Line shapes - Center for Ultracold Atoms
... second interaction equal to the first. If the system is exactly on resonance, this second OF interaction will just complete the inversion of the spin. If, on the other hand, the system is off resonance just enough so that δωτ = π (but δωτ ¿ 1) then the spin will have precessed about ẑ0 an angle π l ...
... second interaction equal to the first. If the system is exactly on resonance, this second OF interaction will just complete the inversion of the spin. If, on the other hand, the system is off resonance just enough so that δωτ = π (but δωτ ¿ 1) then the spin will have precessed about ẑ0 an angle π l ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.