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Creation and Destruction Operators and Coherent States
Creation and Destruction Operators and Coherent States

... Coherent States Coherent states are an important class of states that can be realized 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 clas ...
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I II III

Operator Theory and Dirac Notation
Operator Theory and Dirac Notation

Brute – Force Treatment of Quantum HO
Brute – Force Treatment of Quantum HO

M.Sc. (Sem. - I) PHYSICS PHY UTN
M.Sc. (Sem. - I) PHYSICS PHY UTN

... a) Find the minimum magnetic field needed for Zeeman effect to be observed in a spectral line of 400 nm wavelength, when a spectrometer whose resolution is 0.010 nm is used. b) For Aluminium Cl = 6.32 × 103 m/s and Ct = 3.1 × 103 m/s. The density of Aluminium is 2.7 × 103 kg/m3 and atomic weight is ...
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Spin-orbit - NC State University
Spin-orbit - NC State University

Feynman Diagrams in Quantum Mechanics
Feynman Diagrams in Quantum Mechanics

Foundations of Quantum Mechanics - damtp
Foundations of Quantum Mechanics - damtp

Quantization of bi-Hamiltonian systems J.
Quantization of bi-Hamiltonian systems J.

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PDF

Commun. math. Phys. 52, 239—254
Commun. math. Phys. 52, 239—254

Chapter 2: Interacting Rydberg atoms
Chapter 2: Interacting Rydberg atoms

Chapter 4 Orbital angular momentum and the hydrogen atom
Chapter 4 Orbital angular momentum and the hydrogen atom

... which is larger than what is implied by angular momentum conservation. The energy degeneracy for different values of l is a special property of the pure Coulomb interaction. It is lifted in nature by additional interaction terms that lead to the fine structure and hyperfine structure of the spectral ...
Outline of section 4
Outline of section 4

Chapter 2 Quantum statistical mechanics from classical
Chapter 2 Quantum statistical mechanics from classical

... field”, because of the presence of the σ x terms. While the nomenclature is fine, it is important to remember that this model describes the classical model with no field at ...
A spectral theoretic approach to quantum
A spectral theoretic approach to quantum

Towards a quantum analog of weak KAM theory
Towards a quantum analog of weak KAM theory

Non-Hermitian Hamiltonians of Lie algebraic type
Non-Hermitian Hamiltonians of Lie algebraic type

... More constraints for Ñ dependent Hamiltonian ...
Canonically conjugate pairs and phase operators
Canonically conjugate pairs and phase operators

... Therefore the operator k̂ 2 /2 has the form of the first term on the rhs of Eq. (1) with t0 = −π 2 /(6a2 ) and tn = (−1)n+1 /(an)2 .PThe corresponding energy eigenvalues ǫk = −t0 − 2 n≥1 tn cos (akn) are just the well known Fourier series which corresponds to the periodically continued parabola arcs ...
Solving the Time-Independent Schrödinger Equation Abstract
Solving the Time-Independent Schrödinger Equation Abstract

... Eq. (3.15) then gives the full solution at any other time. ...
Developments of the Theory of Spin Susceptibility in Metals
Developments of the Theory of Spin Susceptibility in Metals

Physics 3 for Electrical Engineering
Physics 3 for Electrical Engineering

L5 QM wave equation
L5 QM wave equation

Interactions and interference in quantum dots : kinks in
Interactions and interference in quantum dots : kinks in

... The evolution of the properties of a system as a continuous change is made to it is a ubiquitous topic in quantum physics. The classic example is the evolution of energy levels as the strength of a perturbation is varied [1]. Typically, neighboring energy levels do not cross each other, but rather c ...
< 1 ... 27 28 29 30 31 32 33 34 35 ... 59 >

Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional ""perturbing"" Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as ""corrections"" to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can therefore be studied based on knowledge of the simpler one.
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