in one and two dimensions
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8 matching pages ♦
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8 matching pages
1: Bibliography P
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Remarks on computing the probability integral in one and two dimensions.
In Proceedings of the Berkeley Symposium on Mathematical
Statistics and Probability, 1945, 1946,
pp. 63–78.
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2: 1.6 Vectors and Vector-Valued Functions
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►In either case
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►The geometrical image of a path is called a simple
closed curve if is one-to-one, with the exception .
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Green’s Theorem
… ►otherwise, one is the negative of the other. … ►Green’s Theorem (for Volume)
…3: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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Example 1: In one and two dimensions any with a ‘Dip, or Well’ has a partly discrete spectrum
… ► …4: Bibliography S
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The Bound State of Weakly Coupled Schrödinger Operators in One and Two Dimensions.
Annals of Physics 97 (2), pp. 279–288.
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5: Bibliography C
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Bound states in one and two spatial dimensions.
J. Math. Phys. 44 (2), pp. 406–422.
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6: 22.19 Physical Applications
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►With appropriate scalings, Newton’s equation of motion for a pendulum with a mass in a gravitational field constrained to move in a vertical plane at a fixed distance from a fulcrum is
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►Classical motion in one dimension is described by Newton’s equation
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►Two types of oscillatory motion are possible.
For an initial displacement with , bounded oscillations take place near one of the two points of stable equilibrium .
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►Whittaker (1964, Chapter IV) enumerates the complete class of one-body classical mechanical problems that are solvable this way.
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7: Bibliography B
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Quantum mechanics of one- and two-electron atoms.
Springer-Verlag, Berlin.
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Quantum Mechanics of One- and Two-electron Atoms.
Rosetta edition, Plenum Publishing Corp., New York.
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One- and two-electron photoejection from : A multichannel -matrix calculation.
Phys. Rev. A 14, pp. 2159–2173.
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Criterion for Existence of a Bound State In One Dimension.
American Journal of Physics 68 (2), pp. 160–161.
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Two cold atoms in a harmonic trap.
Found. Phys. 28 (4), pp. 549–559.
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