The time-dependent variational principle (TDVP) in the stationary action principle form is formulated with not only the normalization but also general constraints for wave functions by using the Lagrange multipliers. According to Dirac's constrained mechanics, the second-class constraints are dealt with the pseudo Dirac bracket. The first-class constraint is supplemented with an adequate gauge-fixing function. The pseudo-classical equations of motion with constraints are obtained for the complex analytic TDVP parameters. |