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Quantum transport of ultracold atoms in an
... the co-moving frame. Atoms that are trapped and accelerated will experience this tilted potential. This equation is analogous to the condensed-matter problem of an electron in a periodic lattice, with an applied DC electric field, where the term Ma is replaced by eE. In our case the periodic potenti ...
... the co-moving frame. Atoms that are trapped and accelerated will experience this tilted potential. This equation is analogous to the condensed-matter problem of an electron in a periodic lattice, with an applied DC electric field, where the term Ma is replaced by eE. In our case the periodic potenti ...
Modern Methods in Drug Discovery
... The problem of ab initio calculation is their N4 dependence from the number of two-electron integrals. These arise from the number of basis functions and the interactions between electrons on different atoms. In semiempirical methods the numerical effort is strongly reduced by assumptions and approa ...
... The problem of ab initio calculation is their N4 dependence from the number of two-electron integrals. These arise from the number of basis functions and the interactions between electrons on different atoms. In semiempirical methods the numerical effort is strongly reduced by assumptions and approa ...
Power of one qumode for quantum computation Please share
... how to compare the resources needed for DQC1 and factoring on an equal footing since there is currently no example of both of these two problems solved using the same model. Although suggestions have been made that factoring requires more resources than DQC1 [9], a direct quantitative relation betwe ...
... how to compare the resources needed for DQC1 and factoring on an equal footing since there is currently no example of both of these two problems solved using the same model. Although suggestions have been made that factoring requires more resources than DQC1 [9], a direct quantitative relation betwe ...
jyvaskla2 - School of Chemistry
... additive, but do not look very much like the balls and spheres of molecular models !!! The simple binary hydrides of the second period elements show that the relative volumes of space associated with each element is determined by their relative electronegativities. Surfaces are truncated at 0.001 au ...
... additive, but do not look very much like the balls and spheres of molecular models !!! The simple binary hydrides of the second period elements show that the relative volumes of space associated with each element is determined by their relative electronegativities. Surfaces are truncated at 0.001 au ...
Quantum Wires and Quantum Point Contacts
... •The transmission probability of contact p into contact q is Tq←p = Tqp. It is possible to have Tqp > 1, since more than one mode may connect the two contacts. Tqp does not have to be an integer, Tpp is a backscattering probability. •The total current emitted by contact p is Ip, while μp is the elec ...
... •The transmission probability of contact p into contact q is Tq←p = Tqp. It is possible to have Tqp > 1, since more than one mode may connect the two contacts. Tqp does not have to be an integer, Tpp is a backscattering probability. •The total current emitted by contact p is Ip, while μp is the elec ...
INTRODUCTION TO QUANTUM CHAOS
... chaos encompasses a statistical mechanics based on the nature of a system’s dynamics, be it chaotic, diffusive, integrable, or some mixture. This means that one is not relying on the thermodynamic limit in which the number of particles tends to infinity. Another branch is an analysis of what the beh ...
... chaos encompasses a statistical mechanics based on the nature of a system’s dynamics, be it chaotic, diffusive, integrable, or some mixture. This means that one is not relying on the thermodynamic limit in which the number of particles tends to infinity. Another branch is an analysis of what the beh ...
Nature’s Queer Performativity “O 25
... the surface, is ripe with the musty odors of fear. One doesn’t have to read very far beneath the surface to witness the merger of political anxieties and scientific curiosity into a more complex multi-cellular organism: Though amoebas would seem unlikely to coordinate interactions with one another o ...
... the surface, is ripe with the musty odors of fear. One doesn’t have to read very far beneath the surface to witness the merger of political anxieties and scientific curiosity into a more complex multi-cellular organism: Though amoebas would seem unlikely to coordinate interactions with one another o ...
無投影片標題
... quantized. And for the one-electron atom, the probability of finding the electron at a particular distance from the nucleus is not localized at a given radius. Consider two atoms that are in close proximity to each other. The wave functions of the two atom electrons overlap, which means that the t ...
... quantized. And for the one-electron atom, the probability of finding the electron at a particular distance from the nucleus is not localized at a given radius. Consider two atoms that are in close proximity to each other. The wave functions of the two atom electrons overlap, which means that the t ...
Cesium D Line Data
... for small atomic velocities relative to c. For an atomic velocity vatom = vr , the Doppler shift is simply 2ωr. Finally, if one wishes to create a standing wave that is moving with respect to the lab frame, the two traveling-wave components must have a frequency difference determined by the relation ...
... for small atomic velocities relative to c. For an atomic velocity vatom = vr , the Doppler shift is simply 2ωr. Finally, if one wishes to create a standing wave that is moving with respect to the lab frame, the two traveling-wave components must have a frequency difference determined by the relation ...
Spin and photophysics of carbon-antisite potential quantum bit Linköping University Post Print
... as (q|q ). We apply a correction to the formation energies in the case of charged defects [24]. The zero-phonon line excitation energies are calculated by constrained-occupation DFT method (CDFT) which provides excellent results for NV center in diamond [25]. In our simulations, we apply VASP 5.3. ...
... as (q|q ). We apply a correction to the formation energies in the case of charged defects [24]. The zero-phonon line excitation energies are calculated by constrained-occupation DFT method (CDFT) which provides excellent results for NV center in diamond [25]. In our simulations, we apply VASP 5.3. ...
地球化学英文原版讲义 part4 of 19 Chapter01[1]
... biolo-gist, for example, it might at first seem that they have little in common. Among other things, their vo-cabularies are sufficiently different that each would have difficulty communicating his or her research to the other. they share at least two things. ...
... biolo-gist, for example, it might at first seem that they have little in common. Among other things, their vo-cabularies are sufficiently different that each would have difficulty communicating his or her research to the other. they share at least two things. ...
Multiply Excited Intra
... nodal surfaces since they originate just from symmetry. A geometric configuration located in a nodal surface is strictly forbidden, and since the wave function is continuous the structure in a region surrounding this configuration will to a great extent be affected by the nodal surface. This chapter ...
... nodal surfaces since they originate just from symmetry. A geometric configuration located in a nodal surface is strictly forbidden, and since the wave function is continuous the structure in a region surrounding this configuration will to a great extent be affected by the nodal surface. This chapter ...
Ultra cold atoms and Bose-Einstein condensation for quantum
... In the presence of a magnetic field, the magnetic sublevels are shifted by an amount proportional to the magnetic field B, the magnetic dipole moment µ and the spin projection m. This implies a description of the atomic transition beyond the two-level model. The simplest situation is a J = 0 −→ J = ...
... In the presence of a magnetic field, the magnetic sublevels are shifted by an amount proportional to the magnetic field B, the magnetic dipole moment µ and the spin projection m. This implies a description of the atomic transition beyond the two-level model. The simplest situation is a J = 0 −→ J = ...
Controlled Coupling and Occupation of Silicon Atomic Quantum Dots
... rectangular arrangement. The most widely separated DBs in the group of four DBs (DB2 and DB4) are darkest in appearance. Note that DB2 was initially brighter than DBs 1 and 3 in Fig. 4a, then became darker than DBs 1 and 3 in Fig. 4b. It is apparent that the extra electrons in this structure are pre ...
... rectangular arrangement. The most widely separated DBs in the group of four DBs (DB2 and DB4) are darkest in appearance. Note that DB2 was initially brighter than DBs 1 and 3 in Fig. 4a, then became darker than DBs 1 and 3 in Fig. 4b. It is apparent that the extra electrons in this structure are pre ...
Nature 419, (51
... jnlðtÞ ¼ jnlð0Þ £ expð2iEn t=!hÞ; where h! is Planck’s constant (h) divided by 2p. We now consider a coherent state jal (see, for example, ref. 7) of the atomic matter field in a potential well. Such a coherent state with a complex amplitude a and an average number of atoms n! ¼ jaj2 can be expresse ...
... jnlðtÞ ¼ jnlð0Þ £ expð2iEn t=!hÞ; where h! is Planck’s constant (h) divided by 2p. We now consider a coherent state jal (see, for example, ref. 7) of the atomic matter field in a potential well. Such a coherent state with a complex amplitude a and an average number of atoms n! ¼ jaj2 can be expresse ...
Fast atom diffraction for grazing scattering of Ne atoms from a
... collimation of the incident beam to a divergence of <0.03°. This high collimation is needed in order to achieve a sufficient degree of coherence for the scattering process. The LiF(0 0 1) surface was prepared by cycles of grazing sputtering with 25 keV Ar+ ions at 250 °C where the ionic conductivity ...
... collimation of the incident beam to a divergence of <0.03°. This high collimation is needed in order to achieve a sufficient degree of coherence for the scattering process. The LiF(0 0 1) surface was prepared by cycles of grazing sputtering with 25 keV Ar+ ions at 250 °C where the ionic conductivity ...
Modern Methods in Drug Discovery
... The problem of ab initio calculation is their N4 dependence from the number of two-electron integrals. These arise from the number of basis functions and the interactions between electrons on different atoms. In semiempirical methods the numerical effort is strongly reduced by assumptions and approa ...
... The problem of ab initio calculation is their N4 dependence from the number of two-electron integrals. These arise from the number of basis functions and the interactions between electrons on different atoms. In semiempirical methods the numerical effort is strongly reduced by assumptions and approa ...
Dirac`s Equation and the Sea of Negative Energy
... result, “renormalization” is invoked: the positive infinity is, in effect, divided by a negative infinity. Since the result of this mathematically forbidden procedure is indeterminate, the desired value of 0.511 MeV is then simply entered by hand. This admitted fudge would not work if we didn’t alre ...
... result, “renormalization” is invoked: the positive infinity is, in effect, divided by a negative infinity. Since the result of this mathematically forbidden procedure is indeterminate, the desired value of 0.511 MeV is then simply entered by hand. This admitted fudge would not work if we didn’t alre ...
Style Guides and Templates
... physics. Such a process naturally involves both electron and nuclear motion. On the one hand, femtosecond chemistry has made remarkable advances in controlling the pathway of molecular fragmentation using an optimally-shaped multicycle pulse. On the other hand, the advent of carrier-envelope phase ( ...
... physics. Such a process naturally involves both electron and nuclear motion. On the one hand, femtosecond chemistry has made remarkable advances in controlling the pathway of molecular fragmentation using an optimally-shaped multicycle pulse. On the other hand, the advent of carrier-envelope phase ( ...
Quantum mechanics provides us with an understanding of atomic
... Solutions to the Schrödinger equation for the hydrogen atom potential energy exist only if three conditions are satisfied: 1. The atom’s energy must be one of the values ...
... Solutions to the Schrödinger equation for the hydrogen atom potential energy exist only if three conditions are satisfied: 1. The atom’s energy must be one of the values ...
Many-body theory of excitation dynamics in an ultracold Rydberg gas
... demonstrated for a direct 共i.e., first-order兲 dipole-dipole interaction of the Rydberg atoms, and it was shown that the suppression of excitations is particularly pronounced at the so-called Förster resonances 关9兴. Furthermore, it was shown that the blockade effect also leads to a quenching of the p ...
... demonstrated for a direct 共i.e., first-order兲 dipole-dipole interaction of the Rydberg atoms, and it was shown that the suppression of excitations is particularly pronounced at the so-called Förster resonances 关9兴. Furthermore, it was shown that the blockade effect also leads to a quenching of the p ...
Embracing the quantum limit in silicon computing
... Si concentration to 50 p.p.m. and the donor density to 1 × 1014 cm−3, as well as by using techniques to suppress the effects of dipolar interactions among the donors5,12, coherence times of about 10 s have been observed at 1.8 K. This T2 is still two orders of magnitude lower than T1 at this tempera ...
... Si concentration to 50 p.p.m. and the donor density to 1 × 1014 cm−3, as well as by using techniques to suppress the effects of dipolar interactions among the donors5,12, coherence times of about 10 s have been observed at 1.8 K. This T2 is still two orders of magnitude lower than T1 at this tempera ...
Bohr model
In atomic physics, the Rutherford–Bohr model or Bohr model, introduced by Niels Bohr in 1913, depicts the atom as a small, positively charged nucleus surrounded by electrons that travel in circular orbits around the nucleus—similar in structure to the solar system, but with attraction provided by electrostatic forces rather than gravity. After the cubic model (1902), the plum-pudding model (1904), the Saturnian model (1904), and the Rutherford model (1911) came the Rutherford–Bohr model or just Bohr model for short (1913). The improvement to the Rutherford model is mostly a quantum physical interpretation of it. The Bohr model has been superseded, but the quantum theory remains sound.The model's key success lay in explaining the Rydberg formula for the spectral emission lines of atomic hydrogen. While the Rydberg formula had been known experimentally, it did not gain a theoretical underpinning until the Bohr model was introduced. Not only did the Bohr model explain the reason for the structure of the Rydberg formula, it also provided a justification for its empirical results in terms of fundamental physical constants.The Bohr model is a relatively primitive model of the hydrogen atom, compared to the valence shell atom. As a theory, it can be derived as a first-order approximation of the hydrogen atom using the broader and much more accurate quantum mechanics and thus may be considered to be an obsolete scientific theory. However, because of its simplicity, and its correct results for selected systems (see below for application), the Bohr model is still commonly taught to introduce students to quantum mechanics or energy level diagrams before moving on to the more accurate, but more complex, valence shell atom. A related model was originally proposed by Arthur Erich Haas in 1910, but was rejected. The quantum theory of the period between Planck's discovery of the quantum (1900) and the advent of a full-blown quantum mechanics (1925) is often referred to as the old quantum theory.