The Hamiltonian and Lagrangian densities
... The origin of these substitutions can be understood by looking at our initial mechanical spring-mass model of the Klein Gordon equation shown in figure ??. In this model ψ is a displacement which could be associated with q. These substitutions however are to naive, worse, they lead to violations of ...
... The origin of these substitutions can be understood by looking at our initial mechanical spring-mass model of the Klein Gordon equation shown in figure ??. In this model ψ is a displacement which could be associated with q. These substitutions however are to naive, worse, they lead to violations of ...
Rotational spectrum of SO3 and theoretical evidence for the
... is shown to be adequate for simulating the spectrum at T = 298.15 K. The computed wavefunctions are used in conjunction with an ab initio dipole moment surface1 to obtain the room-temperature absorption intensities. These intensities were then combined with line positions obtained from an effective, ...
... is shown to be adequate for simulating the spectrum at T = 298.15 K. The computed wavefunctions are used in conjunction with an ab initio dipole moment surface1 to obtain the room-temperature absorption intensities. These intensities were then combined with line positions obtained from an effective, ...
Paper
... but with a frequency difference corresponding to a recoil energy q 2 /2m, of around 100 kHz when q = 2hk. The laser beams were overlapped in a counterpropagating configuration, oriented in the radial direction of the cigar-shaped condensate, which was produced as in previous studies [13]. Figure 1 s ...
... but with a frequency difference corresponding to a recoil energy q 2 /2m, of around 100 kHz when q = 2hk. The laser beams were overlapped in a counterpropagating configuration, oriented in the radial direction of the cigar-shaped condensate, which was produced as in previous studies [13]. Figure 1 s ...
Edge-mode superconductivity in a two
... as shown by the dashed lines in the bottom panel of Fig. 1b, depending on whether or not the two edges have the same fermion parity)22. Quasiparticle poisoning can induce fermion parity switches that restore the Φ0 periodicity, even for helical modes. To specify this further, we consider a short Jos ...
... as shown by the dashed lines in the bottom panel of Fig. 1b, depending on whether or not the two edges have the same fermion parity)22. Quasiparticle poisoning can induce fermion parity switches that restore the Φ0 periodicity, even for helical modes. To specify this further, we consider a short Jos ...
Document
... 1. Fault tolerant quantum computing • QC constraints – The observation destroys the state – Information copy is impossible • QC additional problems – We need to be able to get state information without destroying it => we are forced to use ancilla qubits – We need a fault tolerant recovery process, ...
... 1. Fault tolerant quantum computing • QC constraints – The observation destroys the state – Information copy is impossible • QC additional problems – We need to be able to get state information without destroying it => we are forced to use ancilla qubits – We need a fault tolerant recovery process, ...
A Kinetic Theory Approach to Quantum Gravity
... The first step was taken in the mid-80’s, when, amongst many authors (see [38] for earlier work and [39] for recent developments) Calzetta and I [13], showed how the quantum Boltzmann equation arises as a description of the dynamics of quasiparticles in the kinetic limit of quantum field theory. The ...
... The first step was taken in the mid-80’s, when, amongst many authors (see [38] for earlier work and [39] for recent developments) Calzetta and I [13], showed how the quantum Boltzmann equation arises as a description of the dynamics of quasiparticles in the kinetic limit of quantum field theory. The ...
Five Lecture Course on Basic Physics of
... The BCS ground state is a superposition of states with different integer numbers of Cooper pairs. It does not contain contributions from states with an odd number of electrons. What happens if we force one more electron into a superconductor? The BCS state would not be the ground state of such a sys ...
... The BCS ground state is a superposition of states with different integer numbers of Cooper pairs. It does not contain contributions from states with an odd number of electrons. What happens if we force one more electron into a superconductor? The BCS state would not be the ground state of such a sys ...
The powerpoint presentation of the material
... Certain properties of physical objects form complementary pairs. The more accurately one property from a pair is known, the less accurately it is possible, in principle, to know the other. The position & momentum of a particle are a complementary pair of properties: ...
... Certain properties of physical objects form complementary pairs. The more accurately one property from a pair is known, the less accurately it is possible, in principle, to know the other. The position & momentum of a particle are a complementary pair of properties: ...
The powerpoint presentation of the material
... Certain properties of physical objects form complementary pairs. The more accurately one property from a pair is known, the less accurately it is possible, in principle, to know the other. The position & momentum of a particle are a complementary pair of properties: ...
... Certain properties of physical objects form complementary pairs. The more accurately one property from a pair is known, the less accurately it is possible, in principle, to know the other. The position & momentum of a particle are a complementary pair of properties: ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.