lecture notes on quantum mechanics

... two values of z component of  V are observed (electron spin  2  V) Consequence: the spin of electron has two discrete values along the magnetic 8 LECTURE NOTES ON QUANTUM MECHANICS Dr. Shun-Qing ... of quantum mechanics, but the Dirac notation has many advantages. At the early time of quantum mechanics this notation was used to unify Heisenberg’s matrix mechanics and Sc...

Ngày tải lên: 24/04/2014, 17:12

... sections, e.g., on the semiclassical approximation, on the Hilbert space structure of Quantum Mechanics, on scattering theory, on perturbation theory, on Stochastic Quantum Mechanics, and on the group ... the constant of motion. The important result to be remembered for later considerations of symmetry transformations in the context of Quantum Mechanics is that it is suffi...

Ngày tải lên: 17/03/2014, 14:41

Ngày tải lên: 17/03/2014, 14:41

... an U • bn U • cn U • p Z p Z p Z aA b c B C LECTURE NOTES ON ELECTRICAL & ELECTRONIC TECHNIQUE By Nguyen Nhu Phong 1. Electric Circuits 2. Electric Machines 3. Electronic devices & systems 4. ... cb ab abab baab UUU U UUU += −= → −= •• •• ••• U a b c n LECTURE NOTES ON ELECTRICAL & ELECTRONIC TECHNIQUE Mạch Điện 8/20 KTĐ & ĐT...

Ngày tải lên: 25/10/2013, 13:15

... of Polynomials 93 Solutions to Testing Questions 101 Index 169 Lecture 1 Operations on Rational Numbers 1. Basic Rules on Addition, Subtraction, Multiplication, Division Commutative Law: a + ... element a belongs to the set A Contents Pr eface v Acknowledgments vii Abbreviations and Notations ix 1 Operations on Rational Numbers 1 2 Monomials and Polynomials 7 3 Linear Equations of Sin...

Ngày tải lên: 11/03/2014, 16:55

... prop- erties of tensors. First consider the operation of contraction, which turns a (k, l) tensor into a (k −1, l −1) tensor. Contraction proceeds by summing over one upper and one lower index: S µρ σ = ... integration 3. Curvature covariant derivatives and connections — connection coefficients — transformation properties — the Christoffel connection — structures on manifolds — parallel trans-...

Ngày tải lên: 17/03/2014, 14:28

... simplification of the above conditions essentially leads to the definition of a one-way function. 2.2 One-Way Functions: Definitions In this section, we present several definitions of one-way functions. ... functions exist if and only if strong one way functions exist. Proof Sketch: By definition, a strong one way function is a weak one way function. Now assume that f is a weak one way function su...

Ngày tải lên: 28/03/2014, 20:20

... even, respectively. Then prove that the functions f and g ◦ f are one-one but g is not one-one. Solution: By definiton, it is clear that f is indeed one-one and g is not one-one. But g ◦f(x) = g(f (x)) = g(2x) ... odd. Then prove that f is one- one. Is f onto? Solution: Let us use the contrapostive argument to prove that f is one-one. Let if possible f(x) = f(y), for some x, y ∈ N. Using the d...

Ngày tải lên: 31/03/2014, 12:20

Ngày tải lên: 31/03/2014, 16:27

Ngày tải lên: 24/04/2014, 17:10