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Ladder Operators
Ladder Operators

... So a+ ψ is an energy eigenfunction, and its eigenvalue is exactly one unit greater than that of ψ itself. (In ordinary units, this one unit of energy would be h̄ωc .) This is why a+ is called the raising operator: it mathematically raises any energy eigenstate ψ up the quantum ladder by one rung, to ...
I II III
I II III

... calculate the transmission. We also wrote down solutions for the wavefunction in region II, but this just introduced two new constants, C and D. That doesn't seem to help. Seems to have made it worse because we just have more “stuff” to calculate. What we can do, now that we have solutions in region ...
Algebra - Every Maths Topic
Algebra - Every Maths Topic

Derivation of the Nonlinear Schrödinger Equation from First Principles
Derivation of the Nonlinear Schrödinger Equation from First Principles

Monday, Apr. 14, 2014
Monday, Apr. 14, 2014

Document
Document

3.3 The time-dependent Schrödinger equation
3.3 The time-dependent Schrödinger equation

... The time-independent equation could apply if we had states of definite energy E, an eigenenergy Suppose we had some corresponding eigenfunction   r  so that ...
Algebra 2 Pre AP PS: Logarithm Word Problems and Solving
Algebra 2 Pre AP PS: Logarithm Word Problems and Solving

... c. Find the height of the sprout at 12noon on the sixth day. (728.12cm) d. Find at what time the sprout has doubled in height. (2:09am) e. Find the day and time when the plant reaches a height of 1 km. (Day 9, 8:02am) 4. Cristo looks at an old radio dial and notices that the numbers are not evenly s ...
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Lectuer 15

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QM-interpretation

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Partial derivatives - Harvard Mathematics Department

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Section 1.6 solving quadratic equation

... a.) For this equation, what letter represents the variable? b.) For this equation, what letters represent the coefficients? c.) For this equation, what letter represents the constant term? d.) What is a root or solution of a quadratic equation? ...
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Math 10 Linear Functions Review

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The Klein-Gordon Equation as a time-symmetric

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MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of

... transcendental we cannot give explicit algebraic expressions for the solutions for the eigenvalues E. However, as we shall show below, there is a nice countable discrete of solutions of these equations which we can visualise through a graphical proceduere. Then, having obtained numerical values for ...
4.4 The Hamiltonian and its symmetry operations
4.4 The Hamiltonian and its symmetry operations

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The Postulates

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Solving Literal Equations

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Photon gas as a classical medium

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Equations with Many Solutions or No Solution

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Numerical Methods in Quantum Field Theories

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8.EE.7 Solving Equations Task

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Schrödinger equation

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