Comparison of the Bohr and Quantum Mechanical
... Comparison of the Bohr and Quantum Mechanical Models of the Atom 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. ...
... Comparison of the Bohr and Quantum Mechanical Models of the Atom 1. In the Bohr Model, the electron is treated as a particle in fixed orbits around the nucleus. In the Quantum Mechanical Model, the electron is treated mathematically as a wave. The electron has properties of both particles and waves. ...
Quantum Chaos, Transport, and Decoherence in
... The two-state model only focuses on the role of the stability islands in the tunneling. However, the chaotic region in phase space also strongly influences the tunneling. The basic mechanism for this is the fact that a state in the chaotic region can become coupled to the doublet, causing the tunneli ...
... The two-state model only focuses on the role of the stability islands in the tunneling. However, the chaotic region in phase space also strongly influences the tunneling. The basic mechanism for this is the fact that a state in the chaotic region can become coupled to the doublet, causing the tunneli ...
Correlation Length versus Gap in Frustration-Free
... surprising that they are useful in the present context [42]. Proof.—The first part of the proof follows Ref. [38]. For completeness, we review the necessary material from that paper; we indicate below where this proof differs. Here we use a slightly different version of the detectability lemma [38]. ...
... surprising that they are useful in the present context [42]. Proof.—The first part of the proof follows Ref. [38]. For completeness, we review the necessary material from that paper; we indicate below where this proof differs. Here we use a slightly different version of the detectability lemma [38]. ...
Document
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
Quantum phase transitions in atomic gases and
... • Critical point is a novel state of matter without quasiparticle excitations • Critical excitations control dynamics in the wide quantum-critical region at non-zero temperatures. Important property of ground state at g=gc : temporal and spatial scale invariance; characteristic energy scale at other ...
... • Critical point is a novel state of matter without quasiparticle excitations • Critical excitations control dynamics in the wide quantum-critical region at non-zero temperatures. Important property of ground state at g=gc : temporal and spatial scale invariance; characteristic energy scale at other ...
COMPLEXITY OF QUANTUM FIELD THEORIES 1. Introduction
... 1.2. Motivation. There are essentially three different methods with which one may attempt to study a quantum field theory. The one typically taught in QFT classes is that of perturbation theory, in which one considers a theory in which particles are essentially free; more precisely, they interact wi ...
... 1.2. Motivation. There are essentially three different methods with which one may attempt to study a quantum field theory. The one typically taught in QFT classes is that of perturbation theory, in which one considers a theory in which particles are essentially free; more precisely, they interact wi ...
Less than perfect wave functions in momentum-space
... everything - maybe something with some history? – Explaining complex ideas at the ugrad level – If Barry knows that this has all been done before, please let him be silent until the end! (or until drinks tonight) ...
... everything - maybe something with some history? – Explaining complex ideas at the ugrad level – If Barry knows that this has all been done before, please let him be silent until the end! (or until drinks tonight) ...
Ontology of Quantum Space interpreted by Quantum Real Numbers.
... A physical interpretation of these non-standard real numbers may be linked, via the interpretation of a quantum state ρ̂ as representing a preparation process, to the requirement that the whole experimental arrangement must be included in the determination of physical quantities. However our model d ...
... A physical interpretation of these non-standard real numbers may be linked, via the interpretation of a quantum state ρ̂ as representing a preparation process, to the requirement that the whole experimental arrangement must be included in the determination of physical quantities. However our model d ...
Quantum tunneling of electrons across germanium atoms
... using classical physics. That's because electrons do strange things at such a tiny scale. "Imagine a fish being trapped inside a fish tank; if fish has enough energy, it could jump up over the wall," Pati says. “Now imagine an electron in the tank: if it has enough energy, the electron could jump ou ...
... using classical physics. That's because electrons do strange things at such a tiny scale. "Imagine a fish being trapped inside a fish tank; if fish has enough energy, it could jump up over the wall," Pati says. “Now imagine an electron in the tank: if it has enough energy, the electron could jump ou ...
Living in a Quantum World
... choose aligns with the particle’s axis. If you measure both of them horizontally, you see both of them spinning in gled with stray particles, obscuring their original interconnecopposite directions; if you measure them vertically, you detect no tions. In accordance with the language of decoherence, ...
... choose aligns with the particle’s axis. If you measure both of them horizontally, you see both of them spinning in gled with stray particles, obscuring their original interconnecopposite directions; if you measure them vertically, you detect no tions. In accordance with the language of decoherence, ...
in PPT
... one gets two random bits. Quantum Theory is as random as possible. This is not the case for general no-signaling theories, where the number of random bits is at most one. ...
... one gets two random bits. Quantum Theory is as random as possible. This is not the case for general no-signaling theories, where the number of random bits is at most one. ...
Decoherence and quantum quench: their relationship with excited
... this field appeared already in the late 1960s [3], but a really rapid growth of interest was triggered by experimental studies at the beginning of this millennium [4]. A QPT is a sudden change of the ground-state structure at a certain critical value of the control parameter λ . It can be observed a ...
... this field appeared already in the late 1960s [3], but a really rapid growth of interest was triggered by experimental studies at the beginning of this millennium [4]. A QPT is a sudden change of the ground-state structure at a certain critical value of the control parameter λ . It can be observed a ...
The quantum Heisenberg group H(1)q
... The Hopf algebra H( 1) 4 just defined is clearly different from the algebra of the q-deformed creation and annihilation operators used in the Jordan-Schwinger map of SU (2) 4;4 as it has been shown in Ref. 5 the right quantum structure for these q-deformed operators is B( O( 1) 9. This fact is relat ...
... The Hopf algebra H( 1) 4 just defined is clearly different from the algebra of the q-deformed creation and annihilation operators used in the Jordan-Schwinger map of SU (2) 4;4 as it has been shown in Ref. 5 the right quantum structure for these q-deformed operators is B( O( 1) 9. This fact is relat ...
Observer Effect - Continuum Center
... reality in the billiard ball world of Newtonian physics. Quantum mechanics has shown us that such simple pictures are not adequate. Now we have a picture in which the processes of the world, small or large, micro or macro, simple or complex, of few objects or of many, have to be represented by this ...
... reality in the billiard ball world of Newtonian physics. Quantum mechanics has shown us that such simple pictures are not adequate. Now we have a picture in which the processes of the world, small or large, micro or macro, simple or complex, of few objects or of many, have to be represented by this ...
Geometry,
... years the concept of coherent states was also introduced to non-Hermitian quantum mechanics [1, 10]. In this perspective, we have constructed in a recent paper [3] pseudo-fermionic coherent states for pseudo-Hermitian two-level Hamiltonians with real spectrum. Our aim is to develops the ideas of [3] ...
... years the concept of coherent states was also introduced to non-Hermitian quantum mechanics [1, 10]. In this perspective, we have constructed in a recent paper [3] pseudo-fermionic coherent states for pseudo-Hermitian two-level Hamiltonians with real spectrum. Our aim is to develops the ideas of [3] ...
1. dia
... En ). The electrons with given n values are forming shells which are named with K, L, M, etc. letters. There can be more other states inside a shell which states are determined by the orbital quantum number. ...
... En ). The electrons with given n values are forming shells which are named with K, L, M, etc. letters. There can be more other states inside a shell which states are determined by the orbital quantum number. ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.