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FIELD THEORY 1. Consider the following lagrangian1
FIELD THEORY 1. Consider the following lagrangian1

Quantum Mechanics
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... for describing certain problems concerning the quantum dynamics of systems of angular momenta, including also the spin systems. The underlying groups are SU(2) and its quotient SO(3, R). The proposed scheme is applied in two different contexts. Firstly, the purely group-algebraic framework is applie ...
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... measurement back-action. Quantum computing, where qubits replace classical bits. For some specific algorithms, “quantum parallelism” can actually lead to a fundamentally faster performance than the best known classical algorithms. Quantum simulations, where a wellcontrolled quantum system is designe ...
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... interest or biological systems, for example. However, the precious information contained in this equation can be hardly extracted even for few electrons. The main theoretical/computational challenge in the solution of the Schrödinger equation is the accurate and efficient evaluation of the correlati ...
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... At time t = 0 the particles’ positions and velocities are as shown, and let 0 denote the position and velocity of the new particle. Observe that after r right and l left collisions, the particle traveling on the dotted trajectory is the (r − l)th particle to the right of 0, which is then annihilated ...
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... emitted by a blackbody in the case of small frequencies , derived by Rayleigh by counting the number of standing wave modes in an enclosure. This law was an important step in our understanding of the equilibrium radiation from a hot object. Thanks to Planck in 1900 who derived a radiation formula wh ...
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... possible ground-state energy that can be obtained from our trial wave function. As a specific example, consider the ground state of the hydrogen atom. Although we know that we can solve this problem exactly , let’s assume that we cannot and use the variational method. We will compare our varitional ...
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... 10. Levinson’s theorem — how the scattering phase shift is related to the number of bound states in a potential. 11. The shell model of nuclear structure. 12. Application of random matrix theory to nuclear physics. LINNEA 13. The properties of the deuteron. TAKAHIRO 14. The α-decay of 238U. 15. The ...
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... Remark. In (D9) W12 is the work on the path from the point (1) to the point (2). In 2D or 3D this work depends in general on the actual pathway. In the particular case when work does not depend on the actual path, one says the force is conservative, or that the force is given by a potential. Then an ...
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Supplement to Science Club reading for

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Path integral formulation

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