Hypergroups and Quantum Bessel Processes of Non
... The dimension of the Bessel process with index µ is δ = 2(µ + 1) and a common notation for the Bessel process with the dimension δ is BES(δ). It is well known that the notion of the Bessel process makes sense for any real number δ and that the Bessel processes of integer dimension δ ≥ 2 are the radi ...
... The dimension of the Bessel process with index µ is δ = 2(µ + 1) and a common notation for the Bessel process with the dimension δ is BES(δ). It is well known that the notion of the Bessel process makes sense for any real number δ and that the Bessel processes of integer dimension δ ≥ 2 are the radi ...
Quantum error correction
... and communication in the presence of noise is error correction. Classical error correction is a well developed field with tested methods and codes. Quantum systems, especially when used in quantum computation rely on large scale interference which is fragile and needs a good protection against noise ...
... and communication in the presence of noise is error correction. Classical error correction is a well developed field with tested methods and codes. Quantum systems, especially when used in quantum computation rely on large scale interference which is fragile and needs a good protection against noise ...
Two-dimensional momentum imaging of Rydberg states using half-cycle pulse ionization
... measured. In an earlier paper we showed that the asymptotic momentum component parallel to the kick is much smaller than the momentum after the HCP due to the influence of a weak ‘‘tail,’’ with opposite polarity following the main HCP peak 关8兴. The final velocity and angular distributions of the ele ...
... measured. In an earlier paper we showed that the asymptotic momentum component parallel to the kick is much smaller than the momentum after the HCP due to the influence of a weak ‘‘tail,’’ with opposite polarity following the main HCP peak 关8兴. The final velocity and angular distributions of the ele ...
Hydrogen atom in phase space: the Wigner representation
... [−1, 1], with marginals in r and k corresponding to momentum (wave vector with h̄ = 1) π3 and position quantum probability distributions. In the classical limit the Wigner function becomes a classical phase space distribution. These and other properties of the Wigner function with its applications ...
... [−1, 1], with marginals in r and k corresponding to momentum (wave vector with h̄ = 1) π3 and position quantum probability distributions. In the classical limit the Wigner function becomes a classical phase space distribution. These and other properties of the Wigner function with its applications ...
2 - Introduction of a Quantum of Time ("chronon"), and its
... 1906; and Dirac, 1938a,b; as well as Einstein, 1915; Frenkel, 1926, 1926–28; Lattes et al., 1947; and Ashauer, 1949, among others) actually presents many serious problems except when the field of the particle is neglected.4 By replacing Dirac’s differential equation with two finitedifference equatio ...
... 1906; and Dirac, 1938a,b; as well as Einstein, 1915; Frenkel, 1926, 1926–28; Lattes et al., 1947; and Ashauer, 1949, among others) actually presents many serious problems except when the field of the particle is neglected.4 By replacing Dirac’s differential equation with two finitedifference equatio ...
Macroscopic Quantum Effects in Biophysics and
... consciousness (Jovanovic-Ignjatic and Rakovicć 1999; Rakovicć et al. 2000; Rakovicć 1994, 1995, 1997, 2000), cf. Appendix II (it should be added that the displaced part of ionic acupuncture structure in these states would have a function of an "optical" MW sensor, which can extrasensory perceive an ...
... consciousness (Jovanovic-Ignjatic and Rakovicć 1999; Rakovicć et al. 2000; Rakovicć 1994, 1995, 1997, 2000), cf. Appendix II (it should be added that the displaced part of ionic acupuncture structure in these states would have a function of an "optical" MW sensor, which can extrasensory perceive an ...
Quantum Computation with Molecular Nanomagnets
... possibilities at the same time. This requires N steps instead of N needed by a classical computer. ...
... possibilities at the same time. This requires N steps instead of N needed by a classical computer. ...
Macroscopic Quantum Tunneling in a Josephson Junction Coupled
... coupling strength between it and another oscillator decreases its amplitude, since this means that the coupling spring gets stiffer. This effect is even more evident when the resonator frequency is small, since this corresponds to a large resonator mass (more inertia). Damping the JJ decreases the “ ...
... coupling strength between it and another oscillator decreases its amplitude, since this means that the coupling spring gets stiffer. This effect is even more evident when the resonator frequency is small, since this corresponds to a large resonator mass (more inertia). Damping the JJ decreases the “ ...
Measurement and assignment of the size-dependent
... p 3/2 band ~G8! and a ‘‘split-off’’ twofold degenerate p 1/2 band ~G7!. ~The subscripts, 3/2 or 1/2, describe the total unit cell angular momentum, J5l1s.! Away from k50 the J53/2 band splits further into the heavy-hole ~J m 563/2! and light-hole ~J m 561/2! bands, both doubly degenerate.33 More rec ...
... p 3/2 band ~G8! and a ‘‘split-off’’ twofold degenerate p 1/2 band ~G7!. ~The subscripts, 3/2 or 1/2, describe the total unit cell angular momentum, J5l1s.! Away from k50 the J53/2 band splits further into the heavy-hole ~J m 563/2! and light-hole ~J m 561/2! bands, both doubly degenerate.33 More rec ...
Quantum field theory for matter under extreme conditions
... with χ(α) obvious analogues of φ(α) in Eq. (1.51). (This approach works because it is clear that there are two, and only two, linearly-independent solutions of the momentum space free-fermion Dirac equations, Eqs. (1.46), and, for the homogeneous equations, any two covariant solutions with the corr ...
... with χ(α) obvious analogues of φ(α) in Eq. (1.51). (This approach works because it is clear that there are two, and only two, linearly-independent solutions of the momentum space free-fermion Dirac equations, Eqs. (1.46), and, for the homogeneous equations, any two covariant solutions with the corr ...
Classical and Non-Classical Representations in Physics
... instants. In order to determine the trajectory, one needs two further structures: operators and dynamical constraints. An operator is a transformation or transition rule mapping initial states onto subsequent states. A dynamicalconstraint is a selection criterion which determines which of the possib ...
... instants. In order to determine the trajectory, one needs two further structures: operators and dynamical constraints. An operator is a transformation or transition rule mapping initial states onto subsequent states. A dynamicalconstraint is a selection criterion which determines which of the possib ...
introduction of a quantum of time ("chronon")
... a theory in which the main difficulties of Dirac's theory were overcome. As we shall see, in his relativistically invariant formalism the chronon characterizes the changes suffered by the dynamical state of the electron when it is submitted to external forces. So that the electron will be regarded a ...
... a theory in which the main difficulties of Dirac's theory were overcome. As we shall see, in his relativistically invariant formalism the chronon characterizes the changes suffered by the dynamical state of the electron when it is submitted to external forces. So that the electron will be regarded a ...
RLE_PR_140_02_01s
... classical regime where such connections should occur, and they can be studied in exquisite detail by laser spectroscopy. Theoretically, much of the phenomena can be interpreted by a variation of Gutzwiller's periodic orbit theory 7 known as closed orbit theory.8 Closed orbit theory can provide a det ...
... classical regime where such connections should occur, and they can be studied in exquisite detail by laser spectroscopy. Theoretically, much of the phenomena can be interpreted by a variation of Gutzwiller's periodic orbit theory 7 known as closed orbit theory.8 Closed orbit theory can provide a det ...
Quantum Computing - Department of Computing
... such tuple. For example there is only one nontrivial classical gate with one input and one output bit, namely the NOT gate with 0 7→ 1 and 1 7→ 0. A quantum gate is the quantum analogue of a classical gate. It takes a tuple of qubits and outputs another such tuple. Let’s see how to define a quantum ...
... such tuple. For example there is only one nontrivial classical gate with one input and one output bit, namely the NOT gate with 0 7→ 1 and 1 7→ 0. A quantum gate is the quantum analogue of a classical gate. It takes a tuple of qubits and outputs another such tuple. Let’s see how to define a quantum ...