Physics 6010, Fall 2010 Some examples. Constraints
... Note the explicit t dependence of the Lagrangian. There is now only a single degree of freedom, φ. The first term in the Lagrangian is purely a function of time and will not contribute to the EL equations (exercise); it can be dropped from L. The EL equations for φ are now m2 [l2 φ̈ − ...
... Note the explicit t dependence of the Lagrangian. There is now only a single degree of freedom, φ. The first term in the Lagrangian is purely a function of time and will not contribute to the EL equations (exercise); it can be dropped from L. The EL equations for φ are now m2 [l2 φ̈ − ...
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... true, no matter what value is substituted for the variable. The solution set of an identity is all real numbers. Some equations are always false. Their solution sets are empty. In other words, their solution sets contain no elements. ...
... true, no matter what value is substituted for the variable. The solution set of an identity is all real numbers. Some equations are always false. Their solution sets are empty. In other words, their solution sets contain no elements. ...
Physics 3 for Electrical Engineering
... years later.) Then he tried to find a non-relativistic equation. Each physical system has its own version of Schrödinger’s equation! Here is Schrödinger’s equation for a one-dimensional particle of mass m in a potential V(x): ...
... years later.) Then he tried to find a non-relativistic equation. Each physical system has its own version of Schrödinger’s equation! Here is Schrödinger’s equation for a one-dimensional particle of mass m in a potential V(x): ...
