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... Schrödinger equation 共SE兲 provides a governing principle for atomic and molecular quantum physics and chemistry, but it has long been thought not to be soluble except for some simple systems such as hydrogen atom. Two-electron helium atom is the next simplest atom and from Hylleraas’ pioneering work ...
... Schrödinger equation 共SE兲 provides a governing principle for atomic and molecular quantum physics and chemistry, but it has long been thought not to be soluble except for some simple systems such as hydrogen atom. Two-electron helium atom is the next simplest atom and from Hylleraas’ pioneering work ...
gaussian wavepackets
... quantum world, under certain circumstances, appears classical” for ultimately the same reason that experiments repeated many times over can be expected to yield results of high accuracy, and that the statistical properties of thermalized systems are so sharp as to become susceptible to analysis by t ...
... quantum world, under certain circumstances, appears classical” for ultimately the same reason that experiments repeated many times over can be expected to yield results of high accuracy, and that the statistical properties of thermalized systems are so sharp as to become susceptible to analysis by t ...
Necessary and Sufficient Conditions for an Quantum Mechanical Systems
... equal to each other is maximal possible, given the distributions of Xcq ∼ Rcq . If a connection consists of two dichotomic (1) variables R1q and R2q , and fX1q ; X 2q g is its coupling (i.e., X1q ; X2q are jointly distributed with hX1q i ¼ hR1q i, hX2q i ¼ hR2q i), then by Lemma A3 in the Supplemen ...
... equal to each other is maximal possible, given the distributions of Xcq ∼ Rcq . If a connection consists of two dichotomic (1) variables R1q and R2q , and fX1q ; X 2q g is its coupling (i.e., X1q ; X2q are jointly distributed with hX1q i ¼ hR1q i, hX2q i ¼ hR2q i), then by Lemma A3 in the Supplemen ...
Superconducting Circuits and Quantum Computation
... photolithography to define circuit features. Our system is inherently scalable but has the present challenge of being able to demonstrate appreciable quantum coherence. The particular device under study is made from a loop of Nb interrupted by three Josephson junctions (Fig. 1a). The application of ...
... photolithography to define circuit features. Our system is inherently scalable but has the present challenge of being able to demonstrate appreciable quantum coherence. The particular device under study is made from a loop of Nb interrupted by three Josephson junctions (Fig. 1a). The application of ...
![[tex110] Occupation number fluctuations](http://s1.studyres.com/store/data/004846223_1-cb4dd2663e349dfb101f2bc5cbb873e7-300x300.png)
Isolation of the Conceptual Ingredients of Quantum Theory by Toy
... deeper reality. The latter position is often referred to as a ‘hidden variable interpretation’. The inception of Quantum Mechanics involved an array of ill-defined terms borrowed from the common natural language which form an essential part of describing the theory. Words like ‘apparatus’ are meant ...
... deeper reality. The latter position is often referred to as a ‘hidden variable interpretation’. The inception of Quantum Mechanics involved an array of ill-defined terms borrowed from the common natural language which form an essential part of describing the theory. Words like ‘apparatus’ are meant ...
Last Time…
... electron may disappear from one well, and appear in the other! The reverse then happens, and the electron oscillates back an forth, without ‘traversing’ the ...
... electron may disappear from one well, and appear in the other! The reverse then happens, and the electron oscillates back an forth, without ‘traversing’ the ...
Anekant and modern Physics
... (i) Jain and scientific concept of cosmic space -Physical universe and empty space According to Jain concept, there are six eternal substances namely cosmic space, principle of motion, principle of rest, the soul, matter and energy and time. These all six together have constituted universe. Cosmic s ...
... (i) Jain and scientific concept of cosmic space -Physical universe and empty space According to Jain concept, there are six eternal substances namely cosmic space, principle of motion, principle of rest, the soul, matter and energy and time. These all six together have constituted universe. Cosmic s ...
Introduction to the Bethe Ansatz I
... A few years after the formulation of quantum mechanics, Heisenberg and Dirac1 discovered that one of its wondrous consequences was the key to the age-old mystery of ferromagnetism. They found that the laws of quantum mechanics imply the existence of an effective interaction, Jij Si · Sj , between el ...
... A few years after the formulation of quantum mechanics, Heisenberg and Dirac1 discovered that one of its wondrous consequences was the key to the age-old mystery of ferromagnetism. They found that the laws of quantum mechanics imply the existence of an effective interaction, Jij Si · Sj , between el ...
What quantum mechanics describes is - Philsci
... space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution will naturally result in the dynamical collapse process of the wave function, and this collapse will bring about the ap ...
... space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution will naturally result in the dynamical collapse process of the wave function, and this collapse will bring about the ap ...
CHAPTER 5 The Bohr Model of the Atom
... The distance from one crest to the next crest is called the wavelength of the wave. You could also determine the wavelength by measuring the distance from one trough to the next or between any two identical positions on successive waves. The symbol used for wavelength is the Greek letter lambda, λ . ...
... The distance from one crest to the next crest is called the wavelength of the wave. You could also determine the wavelength by measuring the distance from one trough to the next or between any two identical positions on successive waves. The symbol used for wavelength is the Greek letter lambda, λ . ...
Full-Text PDF
... It appears to be a rotated squeezed state, but this is not the case. In Section 7, we study what happens when one of the two entangled variables is not observed within the framework of Feynman’s rest of the universe [22,23]. In Section 8, we note that most of the mathematical formulas in this paper ...
... It appears to be a rotated squeezed state, but this is not the case. In Section 7, we study what happens when one of the two entangled variables is not observed within the framework of Feynman’s rest of the universe [22,23]. In Section 8, we note that most of the mathematical formulas in this paper ...
Mixed quantum–classical dynamics
... (16) are entirely equivalent. As prescribed by eqn. (12) or (16), the classical particles evolve subject to a single e†ective potential corresponding to an average over quantum states. Thus, as with any mean-Ðeld approach, correlations are neglected. This deÐciency may be particularly severe when on ...
... (16) are entirely equivalent. As prescribed by eqn. (12) or (16), the classical particles evolve subject to a single e†ective potential corresponding to an average over quantum states. Thus, as with any mean-Ðeld approach, correlations are neglected. This deÐciency may be particularly severe when on ...
Nobel Lecture: Fractional quantization
... virtue of the Peierls effect. The gapped electron spectrum shown in Fig. 2 is the density of states for ␦ ⫽0.1. When the equation is solved again for the soliton one finds an extra state in the center of the gap. The soliton has charge ⫹e when this state is unoccupied. The remaining charge and spin ...
... virtue of the Peierls effect. The gapped electron spectrum shown in Fig. 2 is the density of states for ␦ ⫽0.1. When the equation is solved again for the soliton one finds an extra state in the center of the gap. The soliton has charge ⫹e when this state is unoccupied. The remaining charge and spin ...
Quantum Computational Renormalization in the - IAP TU
... measurement of the label space, rather than a partial trace, but because HJ and HL are left unentangled, this distinction only affects the success probability and not the resulting map. As the weights of the “successful” and “failure” outcomes are different, the failure probability of the gate given ...
... measurement of the label space, rather than a partial trace, but because HJ and HL are left unentangled, this distinction only affects the success probability and not the resulting map. As the weights of the “successful” and “failure” outcomes are different, the failure probability of the gate given ...
Operator Imprecision and Scaling of Shor’s Algorithm
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
Quantum numbers for relative ground states of antiferromagnetic
... numbers N of spin sites and spin quantum numbers s where the interaction is given by antiferromagnetic nearest neighbor exchange7–12 . One quantity of interest is the shift quantum number k = 0, . . . N − 1 associated with the cyclic shift symmetry of the rings. The corresponing crystal momentum is ...
... numbers N of spin sites and spin quantum numbers s where the interaction is given by antiferromagnetic nearest neighbor exchange7–12 . One quantity of interest is the shift quantum number k = 0, . . . N − 1 associated with the cyclic shift symmetry of the rings. The corresponing crystal momentum is ...
On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge
... The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and analyse it in varying depth, mainly with paedagogical purposes. The paper is divided into two main parts, reflecting two main perspectives. In the ...
... The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and analyse it in varying depth, mainly with paedagogical purposes. The paper is divided into two main parts, reflecting two main perspectives. In the ...