Lecture 6: 3D Rigid Rotor, Spherical Harmonics, Angular Momentum
... We can now extend the Rigid Rotor problem to a rotation in 3D, corresponding to motion on the surface of a sphere of radius R. The Hamiltonian operator in this case is derived from the Laplacian in spherical polar coordinates given as ...
... We can now extend the Rigid Rotor problem to a rotation in 3D, corresponding to motion on the surface of a sphere of radius R. The Hamiltonian operator in this case is derived from the Laplacian in spherical polar coordinates given as ...
ppt - University of New Mexico
... Quantum systems are defined by attributes, such as position, momentum, angular momentum, and energy or Hamiltonian. These attributes—and thus the numerical particulars of their eigenvalues and eigenfunctions—are objective properties of the system. The value assumed by an attribute is not an objectiv ...
... Quantum systems are defined by attributes, such as position, momentum, angular momentum, and energy or Hamiltonian. These attributes—and thus the numerical particulars of their eigenvalues and eigenfunctions—are objective properties of the system. The value assumed by an attribute is not an objectiv ...
Document
... Quantum systems are defined by attributes, such as position, momentum, angular momentum, and energy or Hamiltonian. These attributes—and thus the numerical particulars of their eigenvalues and eigenfunctions—are objective properties of the system. The value assumed by an attribute is not an objectiv ...
... Quantum systems are defined by attributes, such as position, momentum, angular momentum, and energy or Hamiltonian. These attributes—and thus the numerical particulars of their eigenvalues and eigenfunctions—are objective properties of the system. The value assumed by an attribute is not an objectiv ...
Do quantum strategies always win?
... in fact be of relevance to the field of quantum algorithms whose justification stems from the fact that they are indeed more efficient than classical algorithms. We in this work put forth a counter example which demonstrates that a particular classical algorithm can outwit the previously unbeatable ...
... in fact be of relevance to the field of quantum algorithms whose justification stems from the fact that they are indeed more efficient than classical algorithms. We in this work put forth a counter example which demonstrates that a particular classical algorithm can outwit the previously unbeatable ...
Tunneling Through a Potential Barrier - EMU I-REP
... here in this equation f (xf , xi ) is given by [14] , ...
... here in this equation f (xf , xi ) is given by [14] , ...
Chapter 8 - Lecture 3
... However, the positive and negative regions of Ψ1 can constructively/destructively interfere with the regions of Ψ2. ...
... However, the positive and negative regions of Ψ1 can constructively/destructively interfere with the regions of Ψ2. ...
Effect of Generalized Uncertainty Principle on Main
... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3 . This paper addresses the effect of generalized uncertainty principle, emerged from different approaches of quantum gravit ...
... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3 . This paper addresses the effect of generalized uncertainty principle, emerged from different approaches of quantum gravit ...
Quantum mechanical approaches to the virial S.LeBohec
... This suggests that the operation of taking the expectation value h· · · i can be regarded as a continuation of the time averaging (· · · )τ to reveal the contribution of a dynamics internal to the wave function. In fact, when considering the system to be in a stationary state, the time averaging bec ...
... This suggests that the operation of taking the expectation value h· · · i can be regarded as a continuation of the time averaging (· · · )τ to reveal the contribution of a dynamics internal to the wave function. In fact, when considering the system to be in a stationary state, the time averaging bec ...
What classicality? Decoherence and Bohr`s classical concepts
... able to observe by measuring the system, disregarding the environment. This restriction simply reflects the fact that, in practice, we can’t actually access the majority of the environmental degrees of freedom. Quantum mechanics tells us how to compute the statistics of all possible measurements on ...
... able to observe by measuring the system, disregarding the environment. This restriction simply reflects the fact that, in practice, we can’t actually access the majority of the environmental degrees of freedom. Quantum mechanics tells us how to compute the statistics of all possible measurements on ...
Outline Solutions to Particle Physics Problem Sheet 1
... have a different colour charge. The Pauli exclusion principle states that no two fermions in a multi-particle state can have identical quantum numbers. The three quarks are fermions, so we have to apply the Pauli exclusion principle to them. They all have identical up-quark number (Nu = +1), they al ...
... have a different colour charge. The Pauli exclusion principle states that no two fermions in a multi-particle state can have identical quantum numbers. The three quarks are fermions, so we have to apply the Pauli exclusion principle to them. They all have identical up-quark number (Nu = +1), they al ...
Theoretical study of the phase evolution in a quantum dot in the
... in order to guarantee the generalized Levinson theorem. 3. Then the phase measured by A.B. experiments is related to the total occupation n0 of the dot which is exactly determined by BetheAnsatz calculations. We have obtained a quantitative agreement with the experimental data for the phase in two r ...
... in order to guarantee the generalized Levinson theorem. 3. Then the phase measured by A.B. experiments is related to the total occupation n0 of the dot which is exactly determined by BetheAnsatz calculations. We have obtained a quantitative agreement with the experimental data for the phase in two r ...
Controlled collisions between atoms and ions
... 1. Analytical model of ultracold atom-ion collisions - Exact solutions for 1/r4 potential – single channel QDT - Multichannel quantum-defect theory ...
... 1. Analytical model of ultracold atom-ion collisions - Exact solutions for 1/r4 potential – single channel QDT - Multichannel quantum-defect theory ...
PDF
... In this technique, the phase variation of an oscillator is first mapped by Alice (keeper of the first clock) to the wave-functions of an array of atoms, via the use of the Bloch-Siegert oscillation, which results from an interference between the co- and counter-rotating parts of a two-level excitati ...
... In this technique, the phase variation of an oscillator is first mapped by Alice (keeper of the first clock) to the wave-functions of an array of atoms, via the use of the Bloch-Siegert oscillation, which results from an interference between the co- and counter-rotating parts of a two-level excitati ...
A Brief Review on Quantum Bit Commitment
... constraints imposed by special relativity was proposed by Kent [21]. The author shows that the protocol is unconditionally secure against both classical or quantum attacks. Subsequently, Kent proposed an unconditionally secure QBC protocol that uses quantum and relativistic effects and that requires ...
... constraints imposed by special relativity was proposed by Kent [21]. The author shows that the protocol is unconditionally secure against both classical or quantum attacks. Subsequently, Kent proposed an unconditionally secure QBC protocol that uses quantum and relativistic effects and that requires ...
could
... Two source charges have equal magnitude. One is + and the other -, as shown. What vector could represent the electric field at the point shown caused BY THE POSITIVE CHARGE ALONE? ...
... Two source charges have equal magnitude. One is + and the other -, as shown. What vector could represent the electric field at the point shown caused BY THE POSITIVE CHARGE ALONE? ...
Quantum effects in classical systems having complex energy
... classically allowed regions, which are defined by E ≥ V (x). Because a particle may not enter a classically forbidden region, where E < V (x), a classical particle may not travel between disconnected classically allowed regions. In quantum mechanics Heisenberg’s operator equations of motion and the ...
... classically allowed regions, which are defined by E ≥ V (x). Because a particle may not enter a classically forbidden region, where E < V (x), a classical particle may not travel between disconnected classically allowed regions. In quantum mechanics Heisenberg’s operator equations of motion and the ...
Kondo effect of an antidot in the integer quantum Hall regime: a
... to study the e ect of electron–electron interactions in antidots. In this approach, we map the electron antidot system into a hole quantum dot system and perform a Hartree–Fock calculation. We calculate, as a function of magnetic 2eld, the chemical potential for about 50 holes. We 2nd transitions be ...
... to study the e ect of electron–electron interactions in antidots. In this approach, we map the electron antidot system into a hole quantum dot system and perform a Hartree–Fock calculation. We calculate, as a function of magnetic 2eld, the chemical potential for about 50 holes. We 2nd transitions be ...
Quantum Tic-Tac-Toe: A Genuine Probabilistic Approach
... of the game (like the board, for example) as well as the legal moves the players are allowed to do. Therefore, in a board game, the board is embodied as a quantum system and each move in the game is viewed as a quantum operation or transformation acting upon and changing the current quantum state of ...
... of the game (like the board, for example) as well as the legal moves the players are allowed to do. Therefore, in a board game, the board is embodied as a quantum system and each move in the game is viewed as a quantum operation or transformation acting upon and changing the current quantum state of ...
Superconducting Circuits and Quantum Computation
... The FQLGA is the quantum version of classical lattice-gases (CLG)[3]. CLG are an extension of classical cellular automata with the goal of simulating fluid dynamics without reference to specific microscopic interactions. The binary nature of the CLG lattice variables is replaced for the FQLGA by the ...
... The FQLGA is the quantum version of classical lattice-gases (CLG)[3]. CLG are an extension of classical cellular automata with the goal of simulating fluid dynamics without reference to specific microscopic interactions. The binary nature of the CLG lattice variables is replaced for the FQLGA by the ...