Field Formulation of Many-Body Quantum Physics {ffmbqp
... The quantum mechanical rules in the last section were written down in the previous section under the assumption that all particles are distinguishable. For most realistic n-body systems, however, this is an unphysical assumption. For example, there is no way of distinguishing the electrons in an ato ...
... The quantum mechanical rules in the last section were written down in the previous section under the assumption that all particles are distinguishable. For most realistic n-body systems, however, this is an unphysical assumption. For example, there is no way of distinguishing the electrons in an ato ...
Diamagnetic Screening of Transverse Current
... gauge invariance has to be maintained in any theoretical calculations. In this paper we try to construct the theory of neutron scattering by current fluctuation, taking account of the above point. We do it by following the steps outlined below. In § 2 we represent the neutron scattering cross sectio ...
... gauge invariance has to be maintained in any theoretical calculations. In this paper we try to construct the theory of neutron scattering by current fluctuation, taking account of the above point. We do it by following the steps outlined below. In § 2 we represent the neutron scattering cross sectio ...
Ab initio Quantum and ab initio Molecular Dynamics of the
... our study, belongs to this class. An initially decreasing sticking probability had usually been explained by a precursor mechanism.5 In this concept the molecules are temporarily trapped in a molecular physisorption state, the so-called precursor state, before they dissociatively adsorb. The energy ...
... our study, belongs to this class. An initially decreasing sticking probability had usually been explained by a precursor mechanism.5 In this concept the molecules are temporarily trapped in a molecular physisorption state, the so-called precursor state, before they dissociatively adsorb. The energy ...
Inverse Square Laws
... 2. According to Newton's gravitation law, the force of gravitational attraction between a planet and an object located upon the planet's surface depends upon _____. Choose all that apply. A) the radius of the planet B) the mass of the planet C) the mass of the object D) the volume of the object E) . ...
... 2. According to Newton's gravitation law, the force of gravitational attraction between a planet and an object located upon the planet's surface depends upon _____. Choose all that apply. A) the radius of the planet B) the mass of the planet C) the mass of the object D) the volume of the object E) . ...
Generation of Gravitational Force
... Some of the sensors and generators are based on the same principle mentioned above viz. Moving coil microphone, Loudspeaker, Piezo-electric sensor and Piezo-electric buzzer. Conversion of heat and light to electricity and vice versa is also done by many methods. The sensor for gravity is acceleromet ...
... Some of the sensors and generators are based on the same principle mentioned above viz. Moving coil microphone, Loudspeaker, Piezo-electric sensor and Piezo-electric buzzer. Conversion of heat and light to electricity and vice versa is also done by many methods. The sensor for gravity is acceleromet ...
physics
... both terrestrial and celestial systems to predict and explain phenomena. He showed that nature is governed by a few special rules or laws that can be expressed in mathematical formulae. Newton’s combination of logical experimentation and mathematical analysis shaped the way science has been done eve ...
... both terrestrial and celestial systems to predict and explain phenomena. He showed that nature is governed by a few special rules or laws that can be expressed in mathematical formulae. Newton’s combination of logical experimentation and mathematical analysis shaped the way science has been done eve ...
Quantum Analysis on Time Behavior of a Lengthening Pendulum
... Bohr tried to merge quantum and classical mechanics by introducing a correspondence principle between them. Even though the results of quantum and classical descriptions for a system more or less overlap under particular limits, their underlying principles are quite different from each other. There ...
... Bohr tried to merge quantum and classical mechanics by introducing a correspondence principle between them. Even though the results of quantum and classical descriptions for a system more or less overlap under particular limits, their underlying principles are quite different from each other. There ...
Casimir effect
In quantum field theory, the Casimir effect and the Casimir–Polder force are physical forces arising from a quantized field. They are named after the Dutch physicist Hendrik Casimir.The typical example is of two uncharged metallic plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field means that there is no field between the plates, and no force would be measured between them. When this field is instead studied using the QED vacuum of quantum electrodynamics, it is seen that the plates do affect the virtual photons which constitute the field, and generate a net force—either an attraction or a repulsion depending on the specific arrangement of the two plates. Although the Casimir effect can be expressed in terms of virtual particles interacting with the objects, it is best described and more easily calculated in terms of the zero-point energy of a quantized field in the intervening space between the objects. This force has been measured and is a striking example of an effect captured formally by second quantization. However, the treatment of boundary conditions in these calculations has led to some controversy.In fact, ""Casimir's original goal was to compute the van der Waals force between polarizable molecules"" of the metallic plates. Thus it can be interpreted without any reference to the zero-point energy (vacuum energy) of quantum fields.Dutch physicists Hendrik B. G. Casimir and Dirk Polder at Philips Research Labs proposed the existence of a force between two polarizable atoms and between such an atom and a conducting plate in 1947, and, after a conversation with Niels Bohr who suggested it had something to do with zero-point energy, Casimir alone formulated the theory predicting a force between neutral conducting plates in 1948; the former is called the Casimir–Polder force while the latter is the Casimir effect in the narrow sense. Predictions of the force were later extended to finite-conductivity metals and dielectrics by Lifshitz and his students, and recent calculations have considered more general geometries. It was not until 1997, however, that a direct experiment, by S. Lamoreaux, described above, quantitatively measured the force (to within 15% of the value predicted by the theory), although previous work [e.g. van Blockland and Overbeek (1978)] had observed the force qualitatively, and indirect validation of the predicted Casimir energy had been made by measuring the thickness of liquid helium films by Sabisky and Anderson in 1972. Subsequent experiments approach an accuracy of a few percent.Because the strength of the force falls off rapidly with distance, it is measurable only when the distance between the objects is extremely small. On a submicron scale, this force becomes so strong that it becomes the dominant force between uncharged conductors. In fact, at separations of 10 nm—about 100 times the typical size of an atom—the Casimir effect produces the equivalent of about 1 atmosphere of pressure (the precise value depending on surface geometry and other factors).In modern theoretical physics, the Casimir effect plays an important role in the chiral bag model of the nucleon; in applied physics, it is significant in some aspects of emerging microtechnologies and nanotechnologies.Any medium supporting oscillations has an analogue of the Casimir effect. For example, beads on a string as well as plates submerged in noisy water or gas illustrate the Casimir force.