Homework No. 09 (Spring 2014) PHYS 530A: Quantum Mechanics II
... and using the lowering operator to construct the |1, 0i and |1, −1i states. The state |0, 0i was then constructed (to within a phase factor) as the state orthogonal to |1, 0i. (a) Repeat this exercise by beginning with the total angular momentum state |1, −1i and using the raising operator to constr ...
... and using the lowering operator to construct the |1, 0i and |1, −1i states. The state |0, 0i was then constructed (to within a phase factor) as the state orthogonal to |1, 0i. (a) Repeat this exercise by beginning with the total angular momentum state |1, −1i and using the raising operator to constr ...
Document
... Phase-space Distribution? The state of a classical particle is specified by its coordinate and momentum (x,p): phase-space – A state of classical identical particle system can be described by a phase-space distribution f(x,p). Time evolution of f(x,p) obeys the Boltzmann equation. In quantum me ...
... Phase-space Distribution? The state of a classical particle is specified by its coordinate and momentum (x,p): phase-space – A state of classical identical particle system can be described by a phase-space distribution f(x,p). Time evolution of f(x,p) obeys the Boltzmann equation. In quantum me ...
This course is: • Fun!
... – Qubit (0 and 1 bit for quantum computing) candidates: 2 sets of polarization pairs for photons, spin up and down of electron, electron’s position in a quantum dot, atoms or ions either in spin states, or two hyperfine (from intrinsic spin inside the nucleus) levels ...
... – Qubit (0 and 1 bit for quantum computing) candidates: 2 sets of polarization pairs for photons, spin up and down of electron, electron’s position in a quantum dot, atoms or ions either in spin states, or two hyperfine (from intrinsic spin inside the nucleus) levels ...
Creation and Destruction Operators and Coherent States
... by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as classically as possible? As a practical example,the state of photons in a laser is quantum ...
... by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as classically as possible? As a practical example,the state of photons in a laser is quantum ...
On Unitary Evolution in Quantum Field Theory in
... correspondence occurs of course in the standard case of spacelike Cauchy hypersurfaces. However, it may also occur for certain families of timelike hypersurfaces. Indeed, we show in the present article that given such a correspondence on the classical level (and certain additional assumptions, in pa ...
... correspondence occurs of course in the standard case of spacelike Cauchy hypersurfaces. However, it may also occur for certain families of timelike hypersurfaces. Indeed, we show in the present article that given such a correspondence on the classical level (and certain additional assumptions, in pa ...
introduction to the many-body problem
... i.e., any observable A commutes with any permutation operator. The six permutation operators form a group, and their action on the states given above can be used for constructing irreducible representations of this group. There are two one-dimensional and one two-dimensional irreducible representati ...
... i.e., any observable A commutes with any permutation operator. The six permutation operators form a group, and their action on the states given above can be used for constructing irreducible representations of this group. There are two one-dimensional and one two-dimensional irreducible representati ...
Quantum Interference 3 Claude Cohen-Tannoudji Scott Lectures Cambridge, March 9
... This result can be extended to any quantum device which could be introduced for determining the path of the atom. If the device is efficient, i.e. if its two final states are different, the interference fringes disappear. One cannot observe fringes and simultaneously know the path of the atom Illust ...
... This result can be extended to any quantum device which could be introduced for determining the path of the atom. If the device is efficient, i.e. if its two final states are different, the interference fringes disappear. One cannot observe fringes and simultaneously know the path of the atom Illust ...
Heuristic Optimisation in Design and Analysis
... Also similar results concerning non-uniform starting states. But what if you do not know how many states satisfy the predicate? ...
... Also similar results concerning non-uniform starting states. But what if you do not know how many states satisfy the predicate? ...
Even-denominator fractional quantum Hall effect in bilayer graphene
... Back to the basics: Scattering times from weak loc. Here: data from device with m ~ 60.000 cm2/Vs @ 250 mK (literature: conclusions valid at least for m between 1.000 and 60.000 cm2/Vs) ...
... Back to the basics: Scattering times from weak loc. Here: data from device with m ~ 60.000 cm2/Vs @ 250 mK (literature: conclusions valid at least for m between 1.000 and 60.000 cm2/Vs) ...
What is absolutely continuous spectrum?
... be briefly described as follows. The abstract triple (H, H, ψ) is canonically identified with a triple (`2 (N), J, δ1 ), where J is a Jacobi matrix and {δn }n≥1 denotes the standard basis of `2 (N); see Section 3. Once such an identification is made, one constructs a family of Electronic Black Box ( ...
... be briefly described as follows. The abstract triple (H, H, ψ) is canonically identified with a triple (`2 (N), J, δ1 ), where J is a Jacobi matrix and {δn }n≥1 denotes the standard basis of `2 (N); see Section 3. Once such an identification is made, one constructs a family of Electronic Black Box ( ...
Simulation of Quantum Gates on a Novel GPU Architecture
... 1-qubit elementary transformation U . As forementioned, our simulation model (Fig. 1) involves a classical computation (code running on the host), and a quantum computation which is just simulated on the GPU (kernel code running in parallel on the device). When designing the kernel code some limitat ...
... 1-qubit elementary transformation U . As forementioned, our simulation model (Fig. 1) involves a classical computation (code running on the host), and a quantum computation which is just simulated on the GPU (kernel code running in parallel on the device). When designing the kernel code some limitat ...